Superfluid helium quantum interference devices: physics and applications

We present an overview of recent developments related to superfluid helium quantum interference devices (SHeQUIDs). We discuss the physics of two reservoirs of superfluid helium coupled together and describe the quantum oscillations that result from varying the coupling strength. We explain the principles behind SHeQUIDs that can be built based on these oscillations and review some techniques and applications.

[1]  Russell J. Donnelly,et al.  Quantized Vortices in Helium II , 1991 .

[2]  J. Oppenlaender.  Superconducting Quantum Interference Filters , 2003 .

[3]  B. Josephson.  Possible new effects in superconductive tunnelling , 1962 .

[4]  R. Packard,et al.  Superfluid 3 He Josephson weak links , 2002 .

[5]  J. Oppenlaender,et al.  N o n − Φ 0 − p e r i o d i c macroscopic quantum interference in one-dimensional parallel Josephson junction arrays with unconventional grating structure , 2000 .

[6]  Fiske,et al.  JOSEPHSON AC AND STEP STRUCTURE IN THE SUPERCURRENT TUNNELING CHARACTERISTIC , 1965 .

[7]  S. Pereverzev,et al.  Discovery of a metastable π-state in a superfluid 3He weak link , 1998, Nature.

[8]  K. Likharev,et al.  Dynamics of Josephson Junctions and Circuits , 1986 .

[9]  On the feasibility of detecting an Aharonov-Bohm phase shift in neutral matter , 2009 .

[10]  E. Varoquaux,et al.  Rotation measurements with a superfluid 3He gyrometer , 2000 .

[11]  D. Pearson,et al.  Observation of the ideal Josephson effect in superfluid 4He , 2001, Nature.

[12]  Daniel P. Lathrop,et al.  SUPERFLUID HELIUM: Visualization of quantized vortices , 2006, Nature.

[13]  J. Jeng,et al.  Characteristics of the Superconducting-Quantum- Interference-Grating Magnetometer Consisting of Grain-Boundary Josephson Junctions , 2007, IEEE Transactions on Applied Superconductivity.

[14]  G. Hess.  Critical Velocities in Superfluid Helium Flow Through 10-μm-Diameter Pinholes , 1971 .

[15]  T. Gustavson,et al.  Precision Rotation Measurements with an Atom Interferometer Gyroscope , 1997 .

[16]  Yuki Sato.  Fiske-amplified superfluid interferometry , 2010 .

[17]  B. Deaver,et al.  RELAXATION OSCILLATOR MODEL FOR SUPERCONDUCTING BRIDGES. , 1972 .

[18]  Packard,et al.  Vortex nucleation in superfluid 4He. , 1995, Physical review letters.

[19]  Wiesenfeld,et al.  Period-doubling systems as small-signal amplifiers. , 1985, Physical review letters.

[20]  D. R. Tilley,et al.  Superfluidity and Superconductivity , 2019 .

[21]  Yuki Sato,et al.  Flux locking a superfluid interferometer , 2007, 0708.3236.

[22]  G. Koren,et al.  Observation of magnetic flux generated spontaneously during a rapid quench of superconducting films. , 2003, Physical review letters.

[23]  Miniature high-resolution thermometer for low-temperature applications , 2001 .

[24]  A. Barone,et al.  Physics and Applications of the Josephson Effect , 1982 .

[25]  W. Zlmmermann.  The flow of superfluid 4He through submicron apertures: Phase slip and critical velocities due to quantum vortex motion , 1996 .

[26]  F. Pobell,et al.  Matter and Methods at Low Temperatures , 1992 .

[27]  R. Donnelly.  Theory of The Interaction of Ions and Quantized Vortices in Rotating helium ii , 1965 .

[28]  J A Nikkel,et al.  Visualization study of counterflow in superfluid 4He using metastable helium molecules. , 2010, Physical review letters.

[29]  Amar,et al.  Quantized phase slippage in superfluid 4He. , 1992, Physical review letters.

[30]  J. Reppy,et al.  TEMPERATURE DEPENDENCE OF THE SUPERFLUID HEALING LENGTH. , 1969 .

[31]  Simulations of Phase Slippage in an Aperture Array , 2007 .

[32]  I. F. Quercia.  Physics and applications of the Josephson effect , 1984 .

[33]  R. Ouboter,et al.  A superconducting interference grating , 1968 .

[34]  L Frunzio,et al.  An RF-Driven Josephson Bifurcation Amplifier for Quantum Measurements , 2003, cond-mat/0312623.

[35]  Schwarz.  Phase slip and turbulence in superfluid 4He: A vortex mill that works. , 1990, Physical review letters.

[36]  Packard,et al.  Direct measurement of the current-phase relation of a superfluid 3He-B weak link , 1997, Science.

[37]  R. Donnelly,et al.  GROWTH OF PINNED QUANTIZED VORTEX LINES IN HELIUM II , 1966 .

[38]  M. Prentiss,et al.  Demonstration of an area-enclosing guided-atom interferometer for rotation sensing. , 2006, Physical review letters.

[39]  W. H. Zurek,et al.  Cosmological experiments in superfluid helium? , 1985, Nature.

[40]  G. Stedman,et al.  Ring-laser tests of fundamental physics and geophysics , 1997 .

[41]  E. Hoskinson,et al.  Thermally driven josephson oscillations in superfluid 4He. , 2005, Physical review letters.

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

[43]  R. Chambers.  Shift of an electron interference pattern by enclosed magnetic flux , 1960 .

[44]  Yuki Sato,et al.  Superfluid quantum interference in multiple-turn reciprocal geometry. , 2011, Physical review letters.

[45]  Phase-Slip Avalanches in the Superflow of {sup 4}He through Arrays of Nanosize Apertures , 2006, cond-mat/0606560.

[46]  S. Vitale,et al.  New flow dissipation mechanisms in superfluid 3He. , 2000, Physical review letters.

[47]  Quantum phase transitions and vortex dynamics in superconducting networks , 2000, cond-mat/0011152.

[48]  Fluctuations of the phase difference across an array of Josephson junctions in superfluid 4He near the lambda Transition. , 2003, Physical review letters.

[49]  R. Donnelly.  Cryogenic fluid dynamics , 1999 .

[50]  J. Rowell,et al.  Magnetic Field Dependence of the Josephson Tunnel Current , 1963 .

[51]  M. Kasevich,et al.  Long-term stability of an area-reversible atom-interferometer Sagnac gyroscope. , 2005, Physical Review Letters.

[52]  P. Caputo,et al.  Superconducting quantum interference filters as absolute magnetic field sensors , 2005, IEEE Transactions on Applied Superconductivity.

[53]  Frank Pobell.  Matter and Methods at Low Temperatures , 2007 .

[54]  R. Aarts,et al.  A superfluid gyrometer: quantized currents and fractional trapped circulation , 1994 .

[55]  S. Berman,et al.  Nuovo Cimento , 1983 .

[56]  Bernard,et al.  Scenario for a quantum phase slip in superfluid 4He. , 1994, Physical review letters.

[57]  F. Riehle,et al.  Optical Ramsey spectroscopy in a rotating frame: Sagnac effect in a matter-wave interferometer. , 1991, Physical review letters.

[58]  R. Salmelin,et al.  Phase slippage in superfluid 3He-B , 1992 .

[59]  A. Marchenkov,et al.  Quantum interference of superfluid 3He , 2001, Nature.

[60]  A. I. Golovashkin,et al.  Ordinary SQUID interferometers and superfluid helium matter wave interferometers: The role of quantum fluctuations , 2010 .

[61]  E. Varoquaux,et al.  Detection of the earth rotation with a superfluid double-hole resonator , 1996 .

[62]  Avenel,et al.  Josephson effect and quantum phase slippage in superfluids. , 1988, Physical review letters.

[63]  A. H. Dayem,et al.  MICROWAVE EMISSION FROM SUPERCONDUCTING POINT‐CONTACTS , 1966 .

[64]  D. Vollhardt,et al.  The Superfluid Phases Of Helium 3 , 1990 .

[65]  Michael Albiez,et al.  Direct observation of tunneling and nonlinear self-trapping in a single bosonic Josephson junction. , 2005, Physical review letters.

[66]  J. Steinhauer,et al.  The a.c. and d.c. Josephson effects in a Bose–Einstein condensate , 2007, Nature.

[67]  Pertti Hakonen,et al.  Detection of the rotation of the earth with a superfluid gyrometer , 1997 .

[68]  R. Rosenfeld.  Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[69]  Meisel,et al.  Onset of the critical velocity regime in superfluid 4He at low temperature. , 1986, Physical review letters.

[70]  Yuki Sato,et al.  Superfluid 4He quantum interference grating. , 2008, Physical review letters.

[71]  Avenel,et al.  Observation of singly quantized dissipation events obeying the Josephson frequency relation in the critical flow of superfluid 4He through an aperture. , 1985, Physical review letters.

[72]  R. Packard,et al.  Large area multiturn superfluid phase slip gyroscope , 2003 .

[73]  H. Paik.  Superconducting tunable‐diaphragm transducer for sensitive acceleration measurements , 1976 .

[74]  D. Bohm,et al.  Significance of Electromagnetic Potentials in the Quantum Theory , 1959 .

[75]  K. Schwab,et al.  Detection of the Earth's rotation using superfluid phase coherence , 1997, Nature.

[76]  John Lambe,et al.  QUANTUM INTERFERENCE EFFECTS IN JOSEPHSON TUNNELING , 1964 .

[77]  Alex I. Braginski,et al.  Fundamentals and technology of SQUIDs and SQUID systems , 2004 .

[78]  A. Miffre,et al.  Atom interferometry , 2006, quant-ph/0605055.

[79]  T. Klügel,et al.  The Large Ring Laser G for Continuous Earth Rotation Monitoring , 2009 .

[80]  T. Gustavson,et al.  Rotation sensing with a dual atom-interferometer Sagnac gyroscope , 2000 .

[81]  M. Fisher,et al.  Intrinsic Critical Velocity of a Superfluid , 1967 .

[82]  R. Colella,et al.  EFFECT OF EARTH'S ROTATION ON THE QUANTUM MECHANICAL PHASE OF THE NEUTRON , 1979 .

[83]  R. Leighton,et al.  Feynman Lectures on Physics , 1971 .

[84]  Wei,et al.  Quantum phase of induced dipoles moving in a magnetic field. , 1995, Physical review letters.

[85]  A. M. Tskhovrebov,et al.  Scheme of laboratory measurements of gravimagnetic effects with SHeQUID equipped with a rotation flux transformer , 2010 .

[86]  J. E. Zimmerman,et al.  Macroscopic Quantum Interference Effects through Superconducting Point Contacts , 1966 .

[88]  Keith,et al.  An interferometer for atoms. , 1991, Physical review letters.

[89]  S. Backhaus,et al.  Quantum oscillations between two weakly coupled reservoirs of superfluid 3He , 1997, Nature.

[90]  T. N. Stevenson,et al.  Fluid Mechanics , 2021, Nature.

[91]  S. Backhaus,et al.  dc Supercurrents from Resonant Mixing of Josephson Oscillations in a H 3 e Weak Link , 1998 .

[92]  P. Anderson.  Considerations on the Flow of Superfluid Helium , 1966 .

[93]  E. Varoquaux,et al.  Phase slippage and vortex nucleation in the critical flow of superfluid 4He through an orifice , 1987 .

[94]  Transition from phase slips to the Josephson effect in a superfluid 4He weak link , 2005, cond-mat/0511720.