Ultracold Atoms and Bose-Einstein Condensates in Optical Lattices

For ultracold and Bose-condensed atoms contained in periodic optical potential wells the quantized nature of their motion is clearly visible. The motion of the atomic wavepacket can also be accurately controlled. For those systems the long-range character of the atomic interaction and of the external potential play a key role in the quantum mechanical evolution. The basic facets of the experimental and theoretical research for atoms within optical lattice structures will be reviewed.

[1]  B. Gutiérrez-Medina,et al.  Observation of the quantum zeno and anti-zeno effects in an unstable system , 2001, Technical Digest. Summaries of papers presented at the Quantum Electronics and Laser Science Conference. Postconference Technical Digest (IEEE Cat. No.01CH37172).

[2]  C. Gardiner,et al.  Cold Bosonic Atoms in Optical Lattices , 1998, cond-mat/9805329.

[3]  S. Chu,et al.  Degenerate Raman Sideband Cooling of Trapped Cesium Atoms at Very High Atomic Densities , 1998 .

[4]  Dae-Il Choi,et al.  BOSE-EINSTEIN CONDENSATES IN AN OPTICAL LATTICE , 1999 .

[5]  A Smerzi,et al.  Discrete solitons and breathers with dilute Bose-Einstein condensates. , 2001, Physical review letters.

[6]  G. Grynberg,et al.  Ratchet for Cold Rubidium Atoms: The Asymmetric Optical Lattice , 1999 .

[7]  R. Lutwak,et al.  Coherent Splitting of Bose-Einstein Condensed Atoms With Optically Induced Bragg Diffraction , 1999 .

[8]  W. Ertmer,et al.  Wave packet echoes in the motion of trapped atoms. , 2000, Physical review letters.

[9]  F Minardi,et al.  Superfluid and dissipative dynamics of a Bose-Einstein condensate in a periodic optical potential. , 2001, Physical review letters.

[10]  M. Raizen,et al.  Observation of Chaos-Assisted Tunneling Between Islands of Stability , 2001, Science.

[11]  Haensch,et al.  Trapping atoms in a dark optical lattice. , 1995, Physical review letters.

[12]  Zhao,et al.  Atomic Landau-Zener tunneling and Wannier-Stark ladders in optical potentials. , 1996, Physical review letters.

[13]  N. Davidson,et al.  Excitation spectrum of a Bose-Einstein condensate. , 2001, Physical review letters.

[14]  D Ciampini,et al.  Bloch oscillations and mean-field effects of Bose-Einstein condensates in 1D optical lattices. , 2001, Physical review letters.

[15]  Kristian Helmerson,et al.  Diffraction of a Released Bose-Einstein Condensate by a Pulsed Standing Light Wave , 1999 .

[16]  S. Succi,et al.  Probing the energy bands of a Bose-Einstein condensate in an optical lattice , 2001 .

[17]  C. Salomon,et al.  Sideband Cooling Of Neutral Atoms In A Far-Detuned Optical Lattice , 1998, Technical Digest. 1998 EQEC. European Quantum Electronics Conference (Cat. No.98TH8326).

[18]  M. Kasevich,et al.  Squeezed States in a Bose-Einstein Condensate , 2001, Science.

[19]  S. Burger,et al.  Dark solitons in Bose-Einstein condensates , 1999, QELS 2000.

[20]  Courtois,et al.  Paramagnetism in a cesium optical lattice. , 1995, Physical review letters.

[21]  J. Reichel,et al.  Bloch Oscillations of Atoms in an Optical Potential , 1996, EQEC'96. 1996 European Quantum Electronic Conference.

[22]  C. Kittel.  Introduction to solid state physics , 1954 .

[23]  O. Zobay,et al.  Time-dependent tunneling of Bose-Einstein condensates , 1999, cond-mat/9908174.

[24]  C. Clark,et al.  The Bogoliubov approach to number squeezing of atoms in an optical lattice , 2002 .

[25]  G. Grynberg,et al.  Cold atoms in dissipative optical lattices , 2001 .

[26]  M. Raizen,et al.  New Light on Quantum Transport , 1997 .

[27]  Jin-yue Gao,et al.  Electromagnetically induced inhibition of two-photon absorption in sodium vapor , 2000 .

[28]  Mark Wilkinson,et al.  Uncertain turtle relationships , 1997, Nature.

[29]  E. Hagley,et al.  Four-wave mixing with matter waves , 1999, Nature.

[30]  Deutsch,et al.  Bragg scattering from atoms in optical lattices. , 1995, Physical review letters.

[31]  Wilkinson,et al.  Observation of atomic Wannier-Stark ladders in an accelerating optical potential. , 1996, Physical review letters.

[32]  G. Milburn,et al.  Dynamical tunnelling of ultracold atoms , 2001, Nature.

[33]  Resolved-Sideband Raman Cooling to the Ground State of an Optical Lattice , 1998, quant-ph/9801025.

[34]  Mark G. Raizen,et al.  Experimental evidence for non-exponential decay in quantum tunnelling , 1997, Nature.

[35]  L. Guidoni,et al.  Atomic diffusion in an optical quasicrystal with five-fold symmetry , 1999 .

[36]  P. Straten,et al.  Quantum phases in an optical lattice , 2000, cond-mat/0011108.

[37]  I Bloch,et al.  Exploring phase coherence in a 2D lattice of Bose-Einstein condensates. , 2001, Physical review letters.

[38]  Y. Castin,et al.  Bloch oscillations of atoms, adiabatic rapid passage, and monokinetic atomic beams , 1997 .

[39]  Courtois,et al.  Dynamics and spatial order of cold cesium atoms in a periodic optical potential. , 1992, Physical review letters.

[40]  J. Nathan Kutz,et al.  Bose-Einstein Condensates in Standing Waves , 2001 .

[41]  N. Bigelow,et al.  Fluorescence Investigation of Parametrically Excited Motional Wave Packets in Optical Lattices , 1997 .

[42]  N. Davidson,et al.  Direct observation of the phonon energy in a Bose-Einstein condensate by tomographic imaging. , 2001, Physical Review Letters.

[43]  S Stringari,et al.  Macroscopic dynamics of a trapped Bose-Einstein condensate in the presence of 1D and 2D optical lattices. , 2002, Physical review letters.

[44]  Biao Wu,et al.  Landau and dynamical instabilities of the superflow of Bose-Einstein condensates in optical lattices , 2001 .

[45]  D. Meacher.  Optical lattices : crystalline structures bound by light , 1998 .

[46]  M. Kozuma,et al.  Measurement of the Coherence of a Bose-Einstein Condensate , 1999 .

[47]  M. Kasevich,et al.  Macroscopic quantum interference from atomic tunnel arrays , 1998, Science.

[48]  F Minardi,et al.  Josephson Junction Arrays with Bose-Einstein Condensates , 2001, Science.

[49]  Courtois,et al.  Quantized motion of cold cesium atoms in two- and three-dimensional optical potentials. , 1993, Physical review letters.

[50]  F. Dalfovo,et al.  Theory of Bose-Einstein condensation in trapped gases , 1998, cond-mat/9806038.

[51]  Haensch,et al.  Two-dimesional atomic crystal bound by light. , 1993, Physical review letters.

[52]  Bose-Einstein condensates in spatially periodic potentials , 1998 .

[53]  G. Kurizki,et al.  New Regimes in Cold Gases via Laser-Induced Long-Range Interactions , 2002 .

[54]  T. Hänsch,et al.  Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms , 2002, Nature.

[55]  W. Ketterle,et al.  Vortex nucleation in a stirred Bose-Einstein condensate. , 2001, Physical review letters.

[56]  Biao Wu,et al.  Bloch waves and bloch bands of Bose-Einstein condensates in optical lattices , 2002 .

[57]  M. Salerno,et al.  Modulational instability in Bose-Einstein condensates in optical lattices , 2002 .

[58]  J C Bronski,et al.  Bose-Einstein condensates in standing waves: the cubic nonlinear Schrödinger equation with a periodic potential. , 2001, Physical review letters.

[59]  B. Jackson,et al.  Quadrupole collective modes in trapped finite-temperature Bose-Einstein condensates. , 2002, Physical review letters.

[60]  M. Raizen,et al.  Observation Of Atomic Tunneling From An Accelerating Optical Potential , 1997, QELS '97., Summaries of Papers Presented at the Quantum Electronics and Laser Science Conference.

[61]  I. H. Deutsch,et al.  Quantum state control in optical lattices , 1998 .

[62]  G Grynberg,et al.  Brillouin propagation modes in optical lattices: interpretation in terms of nonconventional stochastic resonance. , 2002, Physical review letters.

[63]  E. Arimondo,et al.  Experimental properties of Bose-Einstein condensates in one-dimensional optical lattices: Bloch oscillations, Landau-Zener tunneling, and mean-field effects , 2002 .

[64]  C. Wieman,et al.  Bose-Einstein Condensation in Atomic Gases , 1999 .

[65]  F Minardi,et al.  Expansion of a coherent array of Bose-Einstein condensates. , 2001, Physical review letters.

[66]  BRAGG SPECTROSCOPY OF A BOSE-EINSTEIN CONDENSATE , 1999, cond-mat/9901109.

[67]  V. Konotop,et al.  Nonlinear excitations in arrays of Bose-Einstein condensates , 2001, cond-mat/0106042.

[68]  S. Rolston,et al.  Collapse and Revivals of Wave Packets in Optical Lattices , 1998 .