Resonant nonlinear magneto-optical effects in atoms

In this article, we review the history, current status, physical mechanisms, experimental methods, and applications of nonlinear magneto-optical effects in atomic vapors. We begin by describing the pioneering work of Macaluso and Corbino over a century ago on linear magneto-optical effects (in which the properties of the medium do not depend on the light power) in the vicinity of atomic resonances, and contrast these effects with various nonlinear magneto-optical phenomena that have been studied both theoretically and experimentally since the late 1960s. In recent years, the field of nonlinear magneto-optics has experienced a revival of interest that has led to a number of developments, including the observation of ultra-narrow (1-Hz) magneto-optical resonances, applications in sensitive magnetometry, nonlinear magneto-optical tomography, and the possibility of a search for parity- and time-reversal-invariance violation in atoms.

[1]  M. Dumont Saturation resonances by magnetic mode crossing in optical pumping with a multimode gas laser , 1972 .

[2]  H. Dehmelt Modulation of a Light Beam by Precessing Absorbing Atoms , 1957 .

[3]  Dieter Meschede,et al.  Buffer-gas-induced linewidth reduction of coherent dark resonances to below 50 Hz , 1997 .

[4]  A Yariv,et al.  Amplitude noise reduction in semiconductor lasers with weak, dispersive optical feedback. , 1994, Optics letters.

[5]  D. Varshalovich,et al.  Quantum Theory of Angular Momentum , 1988 .

[6]  V. Giordano,et al.  Observation of narrow Ramsey-type resonances in a caesium beam due to Zeeman coherences , 1991 .

[7]  T. Warwick,et al.  Optics for element-resolved soft X-ray magneto-optical studies , 1999 .

[8]  H. Gibbs,et al.  Faraday rotation under cw saturation and self-induced transparency conditions , 1974 .

[9]  W. A. Payne,et al.  Abstracts of Contributed Papers , 1973 .

[10]  Keigo Iizuka,et al.  Polarization of Light , 2002 .

[11]  R. Schlesser,et al.  Light-beam deflection by cesium vapor in a transverse-magnetic field. , 1992, Optics letters.

[12]  P. Gould,et al.  Narrow linewidth, highly stable, tunable diode laser system , 1992 .

[13]  N. Sugimoto,et al.  Atomic alkali-metal gas cells at liquid-helium temperatures: Loading by light-induced atom desorption , 2002 .

[14]  S. Lamoreaux Feeble magnetic fields generated by thermal charge fluctuations in extended metallic conductors: Implications for electric-dipole moment experiments , 1999 .

[15]  S. Haroche,et al.  Detection of very weak magnetic fields (10−9gauss) by 87Rb zero-field level crossing resonances , 1969 .

[16]  Alfred Kastler,et al.  Quelques suggestions concernant la production optique et la détection optique d'une inégalité de population des niveaux de quantifigation spatiale des atomes. Application à l'expérience de Stern et Gerlach et à la résonance magnétique , 1950 .

[17]  Weis,et al.  Long electronic spin relaxation times of Cs atoms in solid 4He. , 1995, Physical review letters.

[18]  Evgeny B. Alexandrov,et al.  Optically pumped atomic magnetometers after three decades , 1992 .

[19]  Y. Bogdanov,et al.  Precision laser spectropolarimetry , 1994 .

[20]  I. Hertel,et al.  Alignment and orientation of the hyperfine levels of a laser excited Na-atom beam , 1982 .

[21]  R. Neumann,et al.  OBSERVATION OF THE ELECTRIC HEXADECAPOLE MOMENT OF FREE Na ATOMS IN A FORWARD SCATTERING EXPERIMENT , 1974 .

[22]  A. Lindberg,et al.  Nonlinear forward scattering of resonant laser light from excited neon systems , 1990 .

[23]  J. Aubel,et al.  Magnetic-Rotation Spectra of the 2-0 Vibration—Rotation Band of NO , 1966 .

[24]  R. Wood XX. The selective reflexion of monochromatic light by mercury vapour , 1909 .

[25]  W. Hanle Die elektrische Beeinflussung der Polarisation der Resonanzfluoreszenz von Quecksilber , 1926 .

[26]  W. Voigt Ueber das elektrische Analogon des Zeemaneffectes , 1901 .

[27]  C. C. Wang,et al.  Nonlinear optics. , 1966, Applied optics.

[28]  G. Series,et al.  The forward scattering of resonance radiation, with special reference to double resonance and level-crossing experiments , 1966, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[29]  Ian J. Spalding,et al.  Laser physics , 1977, Nature.

[30]  J. D. Fairbank,et al.  Near zero : new frontiers of physics , 1988 .

[31]  A. Floch,et al.  Study of the Frequency-Locking Region of a Monomode Anisotropic Zeeman Laser , 1972 .

[32]  J. Kortright,et al.  Resonant magneto-optical properties of Fe near its 2p levels: [] Measurement and applications , 2000 .

[33]  A. Scharmann,et al.  Resonance-effects in the output of a He-Ne laser with an axial magnetic field , 1967 .

[34]  Wilhelm Hanle,et al.  Über magnetische Beeinflussung der Polarisation der Resonanzfluoreszenz , 1924 .

[35]  Christoph Affolderbach,et al.  Picotesla magnetometry with coherent dark states , 2001 .

[36]  F. Riehle,et al.  Atom interferometry in a static electric field: Measurement of the Aharonov-Casher phase , 1995 .

[37]  E. Rothé Sur la radiogoniométrie des parasites atmosphériques et la prévision du temps: (Compte rendu des observations faites à l'Institut de Physique du Globe de Strasbourg) , 1922 .

[38]  Y. Takubo,et al.  Analytical detection sensitivity of the laser-probed resonant Voigt effect , 1986 .

[39]  M. Schuurmans Spectral narrowing of selective reflection , 1976 .

[40]  A. Matsko,et al.  Optical Ramsey fringes induced by Zeeman coherence , 2001 .

[41]  J. Dupont-Roc,et al.  Orientation, par action d'un champ electrique “fictif”, d'une vapeur initialement alignee , 1969 .

[42]  K. Kreher Modern Nonlinear Optics , 1999 .

[43]  D. J. Epstein,et al.  Magnetic shielding , 1965 .

[44]  Theodor W. Hänsch,et al.  Spin physics in solid helium: Experimental results and applications , 1995 .

[45]  Weis,et al.  Observation of ground-state Zeeman coherences in the selective reflection from cesium vapor. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[46]  Lang,et al.  Millihertz magnetic resonance spectroscopy of Cs atoms in body-centered-cubic 4He. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[47]  Richard N. Zare,et al.  Angular Momentum: Understanding Spatial Aspects in Chemistry and Physics , 1988 .

[48]  S. Kielich,et al.  Self-squeezing of light propagating through nonlinear optically isotropic media , 1983 .

[49]  J. Brossel,et al.  Relaxation of Optically Pumped Rb Atoms on Paraffin-Coated Walls , 1966 .

[50]  A. Omont Relaxation par collisions des états excités d'un atome , 1965 .

[51]  A. Weis,et al.  Quantitative interpretation of the nonlinear Faraday effect as a Hanle effect of a light-induced birefringence , 1993 .

[52]  Valeriy V. Yashchuk,et al.  Nonlinear Magneto-optic Effects with Ultranarrow Widths , 1998 .

[53]  Nonlinear magneto-optical rotation in optically thick media , 2002, physics/0202071.

[54]  A. Scharmann,et al.  Resonanzerscheinungen in der Ausgangsleistung eines He-Ne-Lasers im axialen Magnetfeld , 1968 .

[55]  A. Matsko,et al.  ELECTROMAGNETIC-WAVE PROPAGATION AND AMPLIFICATION IN OVERDENSE PLASMAS : APPLICATION TO FREE ELECTRON LASERS , 1998 .

[56]  Daniel Kleppner,et al.  BROKEN ATOMIC BEAM RESONANCE EXPERIMENT , 1958 .

[57]  Enhancement of Magneto-Optic Effects via Large Atomic Coherence , 1999, quant-ph/9904032.

[58]  M. Lindberg,et al.  Forward scattering induced by laser fields in atomic J=1→J=0 systems , 1989 .

[59]  Valeriy V. Yashchuk,et al.  Production of dry powder clots using a piezoelectric drop generator , 2002 .

[60]  Young,et al.  Slow spin relaxation of Rb atoms confined in glass cells filled with dense 4He gas at 1.85 K , 2000, Physical Review Letters.

[61]  J. Hoffnagle,et al.  Stark spectroscopy of forbidden two-photon transitions: a sensitive probe for the quantitative measurement of small electric fields , 1986 .

[62]  A. Matsko,et al.  Observation of Ramsey fringes in an atomic cell with buffer gas. , 2001, Optics letters.

[63]  H. Helm,et al.  Power broadening and Doppler effects of coherent dark resonances in Rb , 2000 .

[64]  G. Moruzzi,et al.  The Hanle Effect and Level-Crossing Spectroscopy , 1991 .

[65]  M. Levenson The principles of nonlinear optics , 1985, IEEE Journal of Quantum Electronics.

[66]  Vacuum squeezing in atomic media via self-rotation , 2001, quant-ph/0112072.

[67]  M. D. Lukin,et al.  Phase coherence and control of stored photonic information , 2002 .

[68]  Michael Faraday,et al.  I. Experimental researches in electricity.—Nineteenth series , 1846, Philosophical Transactions of the Royal Society of London.

[69]  Johnson,et al.  Atomic barium and cesium alignment-to-orientation conversion in external electric and magnetic fields. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[70]  A. Weis,et al.  Magneto-optical rotation near the caesium D2 line(Macaluso-Corbino effect) in intermediate fields: I. Linear regime , 1987 .

[71]  P. Baird,et al.  Theory and observation of Faraday rotation obtained with strong light fields , 1987 .

[72]  G. Mileti,et al.  Self-aligned extended-cavity diode laser stabilized by the Zeeman effect on the cesium D2 line. , 2000, Applied optics.

[73]  V. Polishchuk,et al.  Locking of the frequency of a tunable laser on atomic lines with the help of a Faraday cell , 1986 .

[74]  D. Budker,et al.  Art and symmetry in experimental physics : festschrift for Eugene D. commins, Berkeley, California, 20-21 May 2001 , 2001 .

[75]  Klein,et al.  Magnetic optical activity in intense laser fields. II. Forward scattering. , 1985, Physical review. A, General physics.

[76]  Narrowing of level crossing curves in selective reflection , 1976 .

[77]  V. Yashchuk,et al.  Nonlinear laser spectroscopy and magneto-optics , 1999 .

[78]  J. W. Bennett,et al.  Hole Burning Effects in a He-Ne Optical Maser , 1962 .

[79]  B. Yurke,et al.  Squeezed-light-enhanced polarization interferometer. , 1987, Physical review letters.

[80]  A. Pines,et al.  Optical magnetic resonance imaging of Rb vapor in low magnetic fields , 1997 .

[81]  Arturo Lezama,et al.  Electromagnetically induced absorption and transparency due to resonant two-field excitation of quasidegenerate levels in Rb vapor , 1998 .

[82]  M. Irie,et al.  Use of a Faraday modulator in a laser polarimeter for optical forward-wave level-crossing experiments in atomic vapours , 1990 .

[83]  R. W. Terhune,et al.  Intensity-Dependent Changes in the Refractive Index of Liquids , 1964 .

[84]  P. Wanninger,et al.  Diode-laser frequency stabilization based on the resonant Faraday effect , 1992, IEEE Photonics Technology Letters.

[85]  Parity violation in atoms , 1997 .

[86]  W. Lamb,et al.  Theory of a Zeeman laser. I. , 1967 .

[87]  Valerio Biancalana,et al.  Light-induced diffusion and desorption of alkali metals in a siloxane film: theory and experiment , 1999 .

[88]  Valeriy V. Yashchuk,et al.  Laser frequency stabilization using linear magneto-optics , 2000 .

[89]  P. Hannaford,et al.  Observation of level-crossing effects in optogalvanic spectroscopy , 1981 .

[90]  Large Faraday rotation of resonant light in a cold atomic cloud , 2001, physics/0103045.

[91]  O. Sushkov,et al.  Parity Violation Effects in Diatomic Molecules , 1978 .

[92]  S. Saikan Angular momentum dependence of laser-induced birefringence and dichroism in atomic resonance lines , 1978 .

[93]  A. Scharmann,et al.  Level- and line-crossing in forward scattering and selective reflection in a transverse magnetic field , 1976 .

[94]  A B Matsko,et al.  Radiation trapping in coherent media. , 2001, Physical review letters.

[95]  S. Fomichev Magnetic field rotation of a strong resonance radiation polarization plane in the media with Doppler-broadened transitions of 01 and 10 types , 1991 .

[96]  R. Macfarlane,et al.  Systematics of 4f electron energies relative to host bands by resonant photoemission of rare earth ions in aluminum garnets , 2001 .

[97]  Allan C. G. Mitchell,et al.  Resonance radiation and excited atoms , 1934 .

[98]  Leo W. Hollberg,et al.  Using diode lasers for atomic physics , 1991 .

[99]  E. Commins,et al.  New limit on the electron electric dipole moment. , 2002, Physical review letters.

[100]  A. Bloom,et al.  OPTICALLY DRIVEN SPIN PRECESSION , 1961 .

[101]  J. Angel,et al.  The hyperfine structure Stark effect I. Theory , 1968, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[102]  A. Weis,et al.  Quantitative study of the nonlinear macaluso-corbino (resonant Faraday) effect in Cs , 1990 .

[103]  V. A. Khodovoi,et al.  Reviews of Topical Problems: Current Methods for the Study of the Stark Effect in Atoms , 1968 .

[104]  R. Menzies Measurement of neon 3.39 μm transition decay rates using laser Faraday rotation , 1973 .

[105]  Magneto-optical effects with cold lithium atoms , 2001 .

[106]  Harold Weinstock,et al.  SQUID sensors : fundamentals, fabrication, and applications , 1996 .

[107]  A. Matsko,et al.  Detection of nonresonant impurity gases in alkali vapor cells , 2002 .

[108]  J. Oppenheimer Zur Quantenmechanik der Richtungsentartung , 1927 .

[109]  W C Griffith,et al.  New limit on the permanent electric dipole moment of 199Hg. , 2000, Physical review letters.

[110]  N. Baranova,et al.  PHYSICS OF OUR DAYS: New electro-optical and magneto-optical effects in liquids , 1977 .

[111]  A. S. Provorov,et al.  FIFTH VAVILOV CONFERENCE ON NONLINEAR OPTICS, NOVOSIBIRSK, JUNE 1977: Fluorescence studies of interstate intramolecular perturbations in CO , 1978 .

[112]  F. Sorrentino,et al.  Frequency stabilization of a diode laser on the Cs D2 resonance line by the Zeeman effect in a vapor cell , 2001 .

[113]  K. Stetson,et al.  Progress in optics , 1980, IEEE Journal of Quantum Electronics.

[114]  D. F. Kimball,et al.  Nonlinear electro- and magneto-optical effects related to Bennett structures , 2002 .

[115]  Jukka Nenonen,et al.  Thermal Noise in Biomagnetic Measurements , 1993 .

[116]  M. Berry Quantal phase factors accompanying adiabatic changes , 1984, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[117]  P. Sandars,et al.  Observation of parity-violating optical rotation in atomic thallium , 1991 .

[118]  A. R. Edmonds Angular Momentum in Quantum Mechanics , 1957 .

[119]  Ian R. Dunkin,et al.  Matrix-Isolation Techniques: A Practical Approach , 1998 .

[120]  V. I. Perel’,et al.  Interference of atomic states , 1993 .

[121]  C. Wieman,et al.  Frequency-stabilized diode laser with the Zeeman shift in an atomic vapor. , 1998, Applied optics.

[122]  Theodore C. Oakberg,et al.  A new instrument for measuring both the magnitude and angle of low level linear birefringence , 1999 .

[123]  G. Agrawal Nonlinear saturated absorption in resonant media: Level-degeneracy-induced polarization effects , 1984 .

[124]  M. Lombardi Création d'orientation par combinaison de deux alignements alignement et orientation des niveaux excités d'une décharge haute fréquence , 1969 .

[125]  M. Irie,et al.  Non-linear Faraday rotation on simple transitions in samarium vapour , 1989 .

[126]  G. Breit,et al.  Quantum Theory of Dispersion , 1932 .

[127]  F. Schuller,et al.  Magneto-optical rotation in an atomic vapour , 1989 .

[128]  K. Dholakia,et al.  Stabilization of an 852 nm extended cavity diode laser using the Zeeman effect , 2000 .

[129]  M. Baig,et al.  Measurement of oscillator strengths in the ultraviolet by magneto-optical rotation , 1983 .

[130]  M. Weingeroff Bestimmung der natürlichen Breite derD-Linien von Natrium mittels einer Kompensationsmethode , 1931 .

[131]  A. Schawlow,et al.  Laser spectroscopy of atoms and molecules. , 1978, Science.

[132]  D. F. Kimball,et al.  Self-rotation of resonant elliptically polarized light in collision-free rubidium vapor , 2001 .

[133]  Optical magnetic resonance imaging of atomic diffusion and laser beam spatial profiles , 1997 .

[134]  W. Farooq,et al.  Magneto-optical spectroscopy of autoionizing resonances , 1992 .

[135]  G. Herzberg,et al.  Spectra of diatomic molecules , 1950 .

[136]  Sinclair,et al.  Aharonov-Casher phase in an atomic system. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[137]  Bretenaker,et al.  Mean-field laser magnetometry. , 1992, Physical review letters.

[138]  Hanspeter Helm,et al.  Buffer-gas effects on dark resonances: Theory and experiment , 2001 .

[139]  D. G. Akopyan,et al.  Modification of radiation polarisation due to propagation in a resonant medium , 1986 .

[140]  G. Breit Quantum Theory of Dispersion (Continued). Parts VI and VII , 1933 .

[141]  A. May,et al.  Spectral Line Shapes , 1995 .

[142]  D. Bessis,et al.  Cargèse lectures in physics , 1967 .

[143]  Quantum limit of optical magnetometry in the presence of ac Stark shifts , 2000, quant-ph/0001072.

[144]  S. Legowski,et al.  Atomic-Beam Resonance Measurement of the Differential Polarizability between Zeeman Substates in the Ground State of the Cesium Atom , 1968 .

[145]  R. B. Warrington,et al.  Interpretation of nonlinear Faraday rotation in samarium vapour , 1992 .

[146]  A. Gaeta,et al.  Polarization-ellipse rotation by induced gyrotropy in atomic vapors. , 1992, Optics letters.

[147]  J. Connerade An analysis of ultraviolet magneto-optical spectra , 1983 .

[148]  Herbert Walther,et al.  Laser spectroscopy of atoms and molecules , 1976 .

[149]  D. F. Kimball,et al.  Nonlinear magneto-optical rotation via alignment-to-orientation conversion , 2000, Physical review letters.

[150]  M. Klein,et al.  Rare gas solids , 1976 .

[151]  R. Neumann,et al.  Strong narrowing of the Na forward scattering signals due to the interaction with an intense dye laser field , 1974 .

[152]  W. Lange,et al.  Nonlinear faraday and voigt effect in a J=1 to J′=0 transition in atomic samarium vapor , 1988 .

[153]  W. Gawlik,et al.  Laser frequency stabilization by Doppler-free magnetic dichroism , 2002 .

[154]  M. Romalis,et al.  High-sensitivity atomic magnetometer unaffected by spin-exchange relaxation. , 2002, Physical review letters.

[155]  J. Guéna,et al.  Two-beam linear magneto-optical spectroscopy of atomic transitions between short lived states , 1995 .

[156]  C. Wieman,et al.  Frequency stabilization of a diode laser using simultaneous optical feedback from a diffraction grating and a narrowband Fabry–Perot cavity , 1991 .

[157]  M. Scully,et al.  Compensation of ac Stark shifts in optical magnetometry , 2001 .

[158]  V. Weisskopf Zur Theorie der Resonanzfluoreszenz , 1931 .

[159]  Tutorial/Article didactique: Angular momenta dynamics in magnetic and electric field: Classical and quantum approach , 1997 .

[160]  Arturo Lezama,et al.  Electromagnetically induced absorption , 1999 .

[161]  M. Zolotorev,et al.  Nonlinear Faraday rotation in samarium vapor , 1989 .

[162]  M. Matthews,et al.  Two-Component Bose-Einstein Condensation , 1999 .

[163]  C. Zimmermann,et al.  Laser Physics at the Limits , 2002 .

[164]  R. Norberg,et al.  Rare Gas Solids , 1984 .

[165]  Martial Ducloy,et al.  Nonlinear Effects in Optical Pumping of Atoms by a High-Intensity Multimode Gas Laser. General Theory , 1973 .

[166]  M. Auzinsh,et al.  Optical polarization of molecules , 1995 .

[167]  M. Pinard,et al.  Effet de déplacements lumineux dans une expérience de pompage optique sélectif en vitesses , 1982 .

[168]  R. Y. Chao,et al.  Polarization Dependence of Stimulated Rayleigh-Wing Scattering and the Optical-Frequency Kerr Effect , 1969 .

[169]  Marlan O. Scully,et al.  From lasers and masers to phaseonium and phasers , 1992 .

[170]  Motoichi Ohtsu,et al.  Frequency Stabilization of Laser Diodes to the Cs-D 2 Line with the Zeeman Modulation Method , 1989 .

[171]  R. B. Warrington,et al.  STUDIES OF ELECTROMAGNETICALLY INDUCED TRANSPARENCY IN THALLIUM VAPOR AND POSSIBLE UTILITY FOR MEASURING ATOMIC PARITY NONCONSERVATION , 1998 .

[172]  T. Warwick,et al.  Soft x-ray circular polarizer using magnetic circular dichroism at the Fe L3 line , 1997 .

[173]  R. Wood,et al.  Polarized Resonance Radiation in Weak Magnetic Fields , 1924 .

[174]  D. Budker,et al.  Atomic polarization visualized , 2001 .

[175]  S. Fomichev Modification of a strong resonance radiation polarization in media with Doppler-broadened transitions of 0 to 1 and 1 to 0 types and in the presence of a DC electric field , 1995 .

[176]  L. Hunter Tests of time-reversal invariance in atoms, molecules, and the neutron. , 1991, Science.

[177]  Hervé Gilles,et al.  Laser pumped 4He magnetometer , 2001 .

[178]  Yariv,et al.  Room Temperature Generation of Amplitude Squeezed Light from a Semiconductor Laser with Weak Optical Feedback. , 1995, Physical review letters.

[179]  S Zienau Optical Resonance and Two Level Atoms , 1975 .

[180]  Valeriy V. Yashchuk,et al.  Light-induced desorption of alkali-metal atoms from paraffin coating , 2002 .

[181]  Tsuneji Rikitake Magnetic and electromagnetic shielding , 1987 .

[182]  J. P. Woerdman,et al.  Spectral narrowing of selective reflection from sodium vapour , 1975 .

[183]  Majumder,et al.  Precise Test of Electroweak Theory from a New Measurement of Parity Nonconservation in Atomic Thallium. , 1995, Physical review letters.

[184]  J. P. Woerdman,et al.  Is it possible to rotate an atom , 1992 .

[185]  P. Baird,et al.  Theory and application of electric-field-induced pseudorotation , 1988 .

[186]  G. Hermann,et al.  High resolution Zeeman spectroscopy on the neon levels 2s2 and 2p4 by mode crossing at high magnetic fields , 1977 .

[187]  Weis,et al.  Quantitative investigation of the resonant nonlinear Faraday effect under conditions of optical hyperfine pumping. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[188]  R. B. Warrington,et al.  Theory of Faraday rotation produced by atoms near a Jg= 1/2 to Je= 1/2 transition , 1995 .

[189]  Barnett,et al.  Measurement of the Aharonov-Casher phase in an atomic system. , 1993, Physical review letters.

[190]  A. Durrant An application of the concepts and methods of linear systems analysis to the scattering of resonance radiation by an atomic vapour , 1972 .

[191]  V. Kaftandjian,et al.  Doppler-free magnetic optical activity , 1980 .

[192]  G. Stanzel Level- and line-crossing experiments in selective reflection from mercury vapour , 1974 .

[193]  I. NOVIKOVA,et al.  Magnetometry in dense coherent media , 2000 .

[194]  H. Haus,et al.  Cross phase modulation squeezing in optical fibers. , 1998, Optics Express.

[195]  W. Culshaw,et al.  HANLE EFFECT IN THE HE-NE LASER, , 1964 .

[196]  J. Mlynek,et al.  Raman heterodyne Ramsey spectroscopy in a Samarium atomic beam , 1988 .

[197]  Dieter Suter,et al.  The physics of laser-atom interactions , 1997 .

[198]  Richard L. Fork,et al.  Dispersion in the Vicinity of an Optical Resonance , 1964 .

[199]  Klein,et al.  Observation of the topological Aharonov-Casher phase shift by neutron interferometry. , 1989, Physical review letters.

[200]  R. Hackett,et al.  ‘Line-crossings’ in the forward-scattering of resonance radiation , 1970 .

[201]  H. Kleinpoppen,et al.  Progress in atomic spectroscopy , 1978 .

[202]  G. Rikken,et al.  Direction of Optical Energy Flow in a Transverse Magnetic Field , 1997 .

[203]  T. Sumner,et al.  Convectional magnetic shielding , 1987 .

[204]  Harris Electromagnetically Induced Transparency in an Ideal Plasma. , 1996, Physical review letters.

[205]  Woerdman,et al.  Magnetic and mechanical Faraday effects. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[206]  A. Omont Irreducible components of the density matrix. Application to optical pumping , 1977 .

[207]  V. Zapasskii,et al.  REVIEWS OF TOPICAL PROBLEMS: Development of polarization magneto-optics of paramagnetic crystals , 1975 .

[208]  Gawlik,et al.  Multipole moments and trap states in forward scattering of resonance light. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[209]  B. Esser Density Matrix Theory and Applications , 1998 .

[210]  Valeriy V. Yashchuk,et al.  NONLINEAR MAGNETO-OPTICS AND REDUCED GROUP VELOCITY OF LIGHT IN ATOMIC VAPOR WITH SLOW GROUND STATE RELAXATION , 1999 .

[211]  A. Scharmann,et al.  Untersuchungen zur Zeeman-Spektroskopie mit Hilfe nichtlinearer Resonanzen eines Multimoden-Lasers , 1972 .

[212]  J. Huisman The Netherlands , 1996, The Lancet.

[213]  A. Durrant,et al.  Forward scattering of resonance radiation by mercury vapour in a magnetic field , 1971 .

[214]  N. Dovator,et al.  Orientation of aligned alkali atoms under magnetic resonance in a weak magnetic field , 2001 .

[215]  M. Richards,et al.  Homogeneity and time stability of magnetic fields trapped in superconducting cylinders , 1990 .

[216]  Y. Prior,et al.  Arbitrary orientation of atoms and molecules via coherent population trapping by elliptically polarized light , 1999 .

[217]  R. Fork,et al.  Induced Atomic Cascade Processes , 1964 .

[218]  N. Cyr,et al.  Solitary resonance in the velocity-selective magnetic-optical activity spectrum of the (87)Rb D(2) line. , 1991, Optics letters.

[219]  P. Franken,et al.  Novel Method of Spectroscopy With Applications to Precision Fine Structure Measurements , 1959 .

[220]  J. Mester,et al.  Ultralow magnetic fields and Gravity Probe B gyroscope readout , 2000 .

[221]  D. M. Warrington,et al.  Laser-induced population trapping and higher-order Zeeman coherences in the neon 2p5 to 1s5 (J = 1 to J = 2) transition , 1986 .

[222]  A C Tropper Foundations of Laser Spectroscopy: Wiley Series in Pure and Applied Optics , 1985 .

[223]  O. Hellwig,et al.  Switching behavior of Fe-Pt/Ni-Fe exchange-spring films studied by resonant soft-x-ray magneto-optical Kerr effect , 2000 .

[224]  Walker Estimates of spin-exchange parameters for alkali-metal-noble-gas pairs. , 1989, Physical review. A, General physics.

[225]  D. F. Kimball,et al.  0 20 30 77 v 1 2 6 M ar 2 00 2 Resonant nonlinear magneto-optical effects in atoms ∗ , 2002 .

[226]  M. Lindberg,et al.  Zero-field level crossing of the 633 nm Ne line in resonance absorption , 1985 .

[227]  P. Franken INTERFERENCE EFFECTS IN THE RESONANCE FLUORESCENCE OF "CROSSED" EXCITED ATOMIC STATES , 1961 .

[228]  P. Sandars,et al.  Absorption and Faraday spectroscopy of the 876 nm line in Bi I , 1986 .

[229]  M. Dumont,et al.  Polarisation de la lumiere d'un laser He-Ne soumis a un champ magnetique , 1964 .

[230]  R. Schmieder,et al.  Level-Crossing Measurement of Lifetime and hfs Constants of the P 3 2 2 States of the Stable Alkali Atoms , 1970 .

[231]  N. Papageorgiou,et al.  High-resolution selective reflection spectroscopy in intermediate magnetic fields , 1994 .

[232]  G. Agarwal,et al.  NONLINEAR MAGNETO-OPTICAL ROTATION IN CALCIUM : THEORY AND EXPERIMENT , 1997 .

[233]  Dieter Meschede,et al.  Selection rules and line strengths of Zeeman-split dark resonances , 1998 .

[234]  S. Mccall,et al.  Self-Induced Transparency , 1969 .

[235]  Berend Thomas Jonker,et al.  Magnetic ultrathin films : multilayers and surfaces, interfaces and characterization : symposium held April 12-16, 1993, San Francisco, California, U.S.A. , 1993 .

[236]  Claude Cohen-Tannoudji,et al.  Étude du pompage optique dans le formalisme de la matrice densité , 1961 .

[237]  J. Campbell,et al.  Narrow‐linewidth frequency stabilized AlxGa1−xAs/GaAs laser , 1992 .

[238]  Koichi Shimoda,et al.  High-Resolution Laser Spectroscopy , 1976 .

[239]  G. Rikken,et al.  Observation of magnetically induced transverse diffusion of light , 1996, Nature.

[240]  S. Pancharatnam Light Shifts in Semiclassical Dispersion Theory , 1966 .

[241]  J. Barrat Étude de la diffusion multiple cohérente de la lumière de résonance optique. Application au niveau 6 3P1 du mercure, III. Résultats expérimentaux , 1959 .

[242]  G. Bertuccelli,et al.  Ramsey fringes in the nonlinear Hanle effect in a metastable atomic beam. , 1986, Optics letters.

[243]  R. Schieder,et al.  Optical pumping experiments using a cw dye laser with a narrow spectral output , 1974 .

[244]  Y. Prior,et al.  Biaxial spatial orientation of atomic angular momentum , 1999 .

[245]  Y. Chung Frequency Stabilized Lasers and Their Applications , 1993 .

[246]  S. G. Rautian,et al.  Kinetic problems of non-linear spectroscopy , 1991 .

[247]  D. Dubin Trapped charged particles and fundamental physics , 1999 .

[248]  Theodore C. Oakberg Modulated interference effects: use of photoelastic modulators with lasers , 1995 .

[249]  Kinoshita,et al.  Optical pumping and optical detection of the magnetic resonance of alkali-metal atoms in superfluid helium. , 1994, Physical review. B, Condensed matter.

[250]  J. Griffith,et al.  A detailed study of the effects of weak magnetic fields on the forward scattering of resonant laser light by sodium vapour , 1995 .

[251]  O. M. Corbino,et al.  Sopra una nuova azione che la luce subisce attraversando alcuni vapori metallici in un campo magnetico , 1898 .

[252]  V. Kaftandjian,et al.  Forward scattering of resonant radiation as a function of applied magnetic field — theoretical study of the hyperfine lines of the sodium doublet , 1982 .

[253]  A. Corney,et al.  Atomic and laser spectroscopy , 1977 .

[254]  Frank K. Tittel,et al.  Sensitivity enhancement of laser absorption spectroscopy by magnetic rotation effect , 1980 .

[255]  T. Hänsch,et al.  Observation of Ramsey fringes in nonlinear Faraday rotation , 1993 .

[256]  W. Gawlik On the forward scattering of resonant radiation in the presence of a magnetic field , 1982 .

[257]  A. Floch,et al.  Polarization Effects in Zeeman Lasers with x-y-Type Loss Anisotropies , 1971 .

[258]  R. V. Jones Rotary ‘aether drag’ , 1976, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[259]  Ahmed H. Zewail,et al.  Foundations of Laser Spectroscopy , 1985 .

[260]  R. Neumann,et al.  A new method for measuring oscillator strengths using the resonant Faraday effect in monochromatic light , 1979 .

[261]  W. Tomlinson,et al.  Properties of Gaseous Optical Masers in Weak Axial Magnetic Fields , 1967 .

[262]  D. A. Varshalovich,et al.  Quantum Theory of Angular Momentum: Irreducible Tensors, Spherical Harmonics, Vector Coupling Coefficients, 3nj Symbols , 1988 .

[263]  Chu,et al.  Long atomic coherence times in an optical dipole trap. , 1995, Physical review letters.

[264]  Antoine Weis,et al.  Time of flight effects in nonlinear magneto-optical spectroscopy , 1993 .

[265]  C. cohen-tannoudji,et al.  DETECTINON OF THE STATIC MAGNETIC FIELD PRODUCED BY THE ORIENTED NUCLEI OF OPTICALLY PUMPED $sup 3$He GAS. , 1969 .

[266]  D. F. Kimball,et al.  Nonlinear magneto-optical rotation with frequency-modulated light in the geophysical field range , 2002, physics/0602109.

[267]  A. Bloom,et al.  Optical Detection of Magnetic Resonance in Alkali Metal Vapor , 1957 .

[268]  J. Dupont-Roc,et al.  Détermination par des méthodes optiques des trois composantes d'un champ magnétique très faible , 1970 .

[269]  A. Matsko,et al.  Large polarization rotation via atomic coherence. , 2001, Optics letters.

[270]  Klein,et al.  Magnetic optical activity in intense laser fields. I. Self-rotation and Verdet constant. , 1985, Physical review. A, General physics.

[271]  I. Novikova,et al.  Radiation trapping under conditions of electromagnetically induced transparency , 2002 .

[272]  S. Harris,et al.  Electromagnetically Induced Transparency , 1991, QELS '97., Summaries of Papers Presented at the Quantum Electronics and Laser Science Conference.

[273]  T. Walker,et al.  Faraday rotation density measurements of optically thick alkali metal vapors , 2001 .

[274]  D. Church,et al.  Trace‐element detection method based on coherent scattering of radiation , 1974 .

[275]  W. V. Haeringen Polarization Properties of a Single-Mode Operating Gas Laser in a Small Axial Magnetic Field , 1967 .

[276]  W. Urban,et al.  Mid-infrared laser magnetic resonance using the Faraday and Voigt effects for sensitive detection , 1982 .

[277]  W. Gawlik,et al.  ROLE OF TRAP STATES IN FORWARD SCATTERING OF RESONANCE LIGHT , 1997 .

[278]  I. Khriplovich,et al.  Parity nonconservation in atomic phenomena , 1991 .

[279]  D. Gordon,et al.  On the possibility of electromagnetically induced transparency in a plasma. I. Infinite plasma , 2000 .

[280]  W. Happer,et al.  Spin-Exchange Shift and Narrowing of Magnetic Resonance Lines in Optically Pumped Alkali Vapors , 1973 .

[281]  D. Attwood Soft X-Rays and Extreme Ultraviolet Radiation , 1999 .

[282]  A. Javan,et al.  HYPERFINE STRUCTURE AND PARAMAGNETIC PROPERTIES OF EXCITED STATES OF XENON STUDIED WITH A GAS LASER. , 1966 .

[283]  Valeriy V. Yashchuk,et al.  Sensitive Magnetometry based on Nonlinear Magneto-Optical Rotation , 2000 .

[284]  P. Sandars,et al.  The Faraday effect and magnetic circular dichroism in atomic bismuth , 1980 .

[285]  Frequency stabilization of a semiconductor laser using the Faraday effect , 1991 .

[286]  A. Lane,et al.  Interacting resonances in atomic spectroscopy , 1988 .

[287]  A. Weis,et al.  Doppler modulation and Zeeman modulation: laser frequency stabilization without direct frequency modulation. , 1988, Applied optics.

[288]  W. Culshaw,et al.  Zeeman and Coherence Effects in the He-Ne Laser , 1964 .

[289]  Yakir Aharonov,et al.  Topological Quantum Effects for Neutral Particles , 1984 .

[290]  J. Blamont,et al.  Sur la cohérence du phénomène de diffusion multiple de la lumière dans la résonance optique , 1957 .

[291]  P. Majumder,et al.  Measurement of the electric quadrupole amplitude within the 1283-nm 6 P 1 / 2 − 6 P 3 / 2 transition in atomic thallium , 1999 .

[292]  V. Kaftandjian,et al.  Forward scattering of monochromatic laser light revisited , 1982 .

[293]  Murthy,et al.  New limits on the electron electric dipole moment from cesium. , 1989, Physical review letters.