Shortcuts to adiabaticity in Fermi gases

Diao, Pengpeng; Deng, Shujin; Li, Fang; Yu, Shi; del Campo Chenu, Aurelia Sidonie; Del Campo, Adolfo; Wu, Haibin

doi:10.1088/1367-2630/aae45e

Title: Shortcuts to adiabaticity in Fermi gases

Journal Article · Wed Sep 26 00:00:00 EDT 2018 · New Journal of Physics

DOI:https://doi.org/10.1088/1367-2630/aae45e· OSTI ID:1492613

Diao, Pengpeng ^[1]; Deng, Shujin ^[2]; Li, Fang ^[1]; Yu, Shi ^[1]; del Campo Chenu, Aurelia Sidonie ^[3]; Del Campo, Adolfo ^[4]; Wu, Haibin ^[2]

East China Normal University, Shanghai (China)
East China Normal University, Shanghai (China); Shanxi University, Taiyuan (China)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); University of Massachusetts, Boston, MA (United States)

Shortcuts to adiabaticity (STA) provide an alternative to adiabatic protocols to guide the dynamics of the system of interest without the requirement of slow driving. We report the controlled speedup via STA of the nonadiabatic dynamics of a Fermi gas, both in the noninteracting and strongly coupled, unitary regimes. Friction-free superadiabatic expansion strokes, with no residual excitations in the final state, are demonstrated in the unitary regime by engineering the modulation of the frequencies and aspect ratio of the harmonic trap. STA are also analyzed and implemented in the high-temperature regime, where the shear viscosity plays a pivotal role and the Fermi gas is described by viscous hydrodynamics.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1492613

Report Number(s):: LA-UR-18-25779

Journal Information:: New Journal of Physics, Vol. 20, Issue 10; ISSN 1367-2630

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 14 works

Citation information provided by
Web of Science

References (58)

Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas Ku, M. J. H.; Sommer, A. T.; Cheuk, L. W. Science, Vol. 335, Issue 6068 https://doi.org/10.1126/science.1214987	journal	January 2012
Heat Capacity of a Strongly Interacting Fermi Gas Kinast, J. Science, Vol. 307, Issue 5713 https://doi.org/10.1126/science.1109220	journal	February 2005
Universal Thermodynamics of Degenerate Quantum Gases in the Unitarity Limit Ho, Tin-Lun Physical Review Letters, Vol. 92, Issue 9 https://doi.org/10.1103/PhysRevLett.92.090402	journal	March 2004
Universal dynamics of a degenerate unitary Bose gas Makotyn, P.; Klauss, C. E.; Goldberger, D. L. Nature Physics, Vol. 10, Issue 2 https://doi.org/10.1038/nphys2850	journal	January 2014
Universal Quantum Viscosity in a Unitary Fermi Gas Cao, C.; Elliott, E.; Joseph, J. Science, Vol. 331, Issue 6013 https://doi.org/10.1126/science.1195219	journal	December 2010
Bose-Einstein Condensates in Time Dependent Traps Castin, Y.; Dum, R. Physical Review Letters, Vol. 77, Issue 27 https://doi.org/10.1103/PhysRevLett.77.5315	journal	December 1996
Evolution of a Bose-condensed gas under variations of the confining potential Kagan, Yu.; Surkov, E. L.; Shlyapnikov, G. V. Physical Review A, Vol. 54, Issue 3 https://doi.org/10.1103/PhysRevA.54.R1753	journal	September 1996
Shortcut to Adiabatic Passage in Two- and Three-Level Atoms Chen, Xi; Lizuain, I.; Ruschhaupt, A. Physical Review Letters, Vol. 105, Issue 12 https://doi.org/10.1103/PhysRevLett.105.123003	journal	September 2010
Adiabatic Population Transfer with Control Fields Demirplak, Mustafa; Rice, Stuart A. The Journal of Physical Chemistry A, Vol. 107, Issue 46 https://doi.org/10.1021/jp030708a	journal	November 2003
Assisted Adiabatic Passage Revisited ^† Demirplak, Mustafa; Rice, Stuart A. The Journal of Physical Chemistry B, Vol. 109, Issue 14 https://doi.org/10.1021/jp040647w	journal	April 2005
On the consistency, extremal, and global properties of counterdiabatic fields Demirplak, Mustafa; Rice, Stuart A. The Journal of Chemical Physics, Vol. 129, Issue 15 https://doi.org/10.1063/1.2992152	journal	October 2008
Optimally robust shortcuts to population inversion in two-level quantum systems Ruschhaupt, A.; Chen, Xi; Alonso, D. New Journal of Physics, Vol. 14, Issue 9 https://doi.org/10.1088/1367-2630/14/9/093040	journal	September 2012
Experimental Implementation of Assisted Quantum Adiabatic Passage in a Single Spin Zhang, Jingfu; Shim, Jeong Hyun; Niemeyer, Ingo Physical Review Letters, Vol. 110, Issue 24 https://doi.org/10.1103/PhysRevLett.110.240501	journal	June 2013
Fast-Forward Assisted STIRAP Masuda, Shumpei; Rice, Stuart A. The Journal of Physical Chemistry A, Vol. 119, Issue 14 https://doi.org/10.1021/acs.jpca.5b00525	journal	March 2015
Experimental realization of stimulated Raman shortcut-to-adiabatic passage with cold atoms Du, Yan-Xiong; Liang, Zhen-Tao; Li, Yi-Chao Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms12479	journal	August 2016
Optimal shortcut approach based on an easily obtained intermediate Hamiltonian Chen, Ye-Hong; Shi, Zhi-Cheng; Song, Jie Physical Review A, Vol. 95, Issue 6 https://doi.org/10.1103/PhysRevA.95.062319	journal	June 2017
Boosting work characteristics and overall heat-engine performance via shortcuts to adiabaticity: Quantum and classical systems Deng, Jiawen; Wang, Qing-hai; Liu, Zhihao Physical Review E, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevE.88.062122	journal	December 2013
More bang for your buck: Super-adiabatic quantum engines Campo, A. del; Goold, J.; Paternostro, M. Scientific Reports, Vol. 4, Issue 1 https://doi.org/10.1038/srep06208	journal	August 2014
Scaling-Up Quantum Heat Engines Efficiently via Shortcuts to Adiabaticity Beau, Mathieu; Jaramillo, Juan; del Campo, Adolfo Entropy, Vol. 18, Issue 5 https://doi.org/10.3390/e18050168	journal	April 2016
Universal Work Fluctuations During Shortcuts to Adiabaticity by Counterdiabatic Driving Funo, Ken; Zhang, Jing-Ning; Chatou, Cyril Physical Review Letters, Vol. 118, Issue 10 https://doi.org/10.1103/PhysRevLett.118.100602	journal	March 2017
Superadiabatic quantum friction suppression in finite-time thermodynamics Deng, Shujin; Chenu, Aurélia; Diao, Pengpeng Science Advances, Vol. 4, Issue 4 https://doi.org/10.1126/sciadv.aar5909	journal	April 2018
Assisted Finite-Rate Adiabatic Passage Across a Quantum Critical Point: Exact Solution for the Quantum Ising Model del Campo, Adolfo; Rams, Marek M.; Zurek, Wojciech H. Physical Review Letters, Vol. 109, Issue 11 https://doi.org/10.1103/PhysRevLett.109.115703	journal	September 2012
Transitionless quantum driving for spin systems Takahashi, Kazutaka Physical Review E, Vol. 87, Issue 6 https://doi.org/10.1103/PhysRevE.87.062117	journal	June 2013
Counterdiabatic driving of the quantum Ising model Damski, Bogdan Journal of Statistical Mechanics: Theory and Experiment, Vol. 2014, Issue 12 https://doi.org/10.1088/1742-5468/2014/12/P12019	journal	December 2014
Adiabatic tracking of quantum many-body dynamics Saberi, Hamed; Opatrný, Tomáš; Mølmer, Klaus Physical Review A, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevA.90.060301	journal	December 2014
Controlling quantum critical dynamics of isolated systems del Campo, A.; Sengupta, K. The European Physical Journal Special Topics, Vol. 224, Issue 1 https://doi.org/10.1140/epjst/e2015-02350-4	journal	February 2015
Shortcuts to adiabaticity for quantum annealing Takahashi, Kazutaka Physical Review A, Vol. 95, Issue 1 https://doi.org/10.1103/PhysRevA.95.012309	journal	January 2017
Fast-forward of adiabatic dynamics in quantum mechanics Masuda, Shumpei; Nakamura, Katsuhiro Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 466, Issue 2116 https://doi.org/10.1098/rspa.2009.0446	journal	November 2009
Fast atomic transport without vibrational heating Torrontegui, E.; Ibáñez, S.; Chen, Xi Physical Review A, Vol. 83, Issue 1 https://doi.org/10.1103/PhysRevA.83.013415	journal	January 2011
Shortcuts to adiabaticity by counterdiabatic driving for trapped-ion displacement in phase space An, Shuoming; Lv, Dingshun; del Campo, Adolfo Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms12999	journal	September 2016
Acceleration of adiabatic quantum dynamics in electromagnetic fields Masuda, Shumpei; Nakamura, Katsuhiro Physical Review A, Vol. 84, Issue 4 https://doi.org/10.1103/PhysRevA.84.043434	journal	October 2011
High-Fidelity Rapid Ground-State Loading of an Ultracold Gas into an Optical Lattice Masuda, Shumpei; Nakamura, Katsuhiro; del Campo, Adolfo Physical Review Letters, Vol. 113, Issue 6 https://doi.org/10.1103/PhysRevLett.113.063003	journal	August 2014
Fast frictionless dynamics as a toolbox for low-dimensional Bose-Einstein condensates del Campo, A. EPL (Europhysics Letters), Vol. 96, Issue 6 https://doi.org/10.1209/0295-5075/96/60005	journal	December 2011
Squeezing and robustness of frictionless cooling strategies Choi, Stephen; Onofrio, Roberto; Sundaram, Bala Physical Review A, Vol. 86, Issue 4 https://doi.org/10.1103/PhysRevA.86.043436	journal	October 2012
Generating shortcuts to adiabaticity in quantum and classical dynamics Jarzynski, Christopher Physical Review A, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevA.88.040101	journal	October 2013
Shortcuts to Adiabaticity by Counterdiabatic Driving del Campo, Adolfo Physical Review Letters, Vol. 111, Issue 10 https://doi.org/10.1103/PhysRevLett.111.100502	journal	September 2013
Ehrenfest dynamics and frictionless cooling methods Choi, Stephen; Onofrio, Roberto; Sundaram, Bala Physical Review A, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevA.88.053401	journal	November 2013
Classical and Quantum Shortcuts to Adiabaticity for Scale-Invariant Driving Deffner, Sebastian; Jarzynski, Christopher; del Campo, Adolfo Physical Review X, Vol. 4, Issue 2 https://doi.org/10.1103/PhysRevX.4.021013	journal	April 2014
Fast forward to the classical adiabatic invariant Jarzynski, Christopher; Deffner, Sebastian; Patra, Ayoti Physical Review E, Vol. 95, Issue 3 https://doi.org/10.1103/PhysRevE.95.032122	journal	March 2017
Shortcuts to adiabaticity using flow fields Patra, Ayoti; Jarzynski, Christopher New Journal of Physics, Vol. 19, Issue 12 https://doi.org/10.1088/1367-2630/aa924c	journal	December 2017
From Classical Nonlinear Integrable Systems to Quantum Shortcuts to Adiabaticity Okuyama, Manaka; Takahashi, Kazutaka Physical Review Letters, Vol. 117, Issue 7 https://doi.org/10.1103/PhysRevLett.117.070401	journal	August 2016
Shortcuts to adiabaticity assisted by counterdiabatic Born–Oppenheimer dynamics Duncan, Callum W.; Campo, Adolfo del New Journal of Physics, Vol. 20, Issue 8 https://doi.org/10.1088/1367-2630/aad437	journal	August 2018
Frictionless quantum quenches in ultracold gases: A quantum-dynamical microscope del Campo, A. Physical Review A, Vol. 84, Issue 3 https://doi.org/10.1103/PhysRevA.84.031606	journal	September 2011
Optimized sympathetic cooling of atomic mixtures via fast adiabatic strategies Choi, Stephen; Onofrio, Roberto; Sundaram, Bala Physical Review A, Vol. 84, Issue 5 https://doi.org/10.1103/PhysRevA.84.051601	journal	November 2011
Shortcuts to adiabaticity in a time-dependent box Campo, A. del; Boshier, M. G. Scientific Reports, Vol. 2, Issue 1 https://doi.org/10.1038/srep00648	journal	September 2012
Fast optimal transition between two equilibrium states Schaff, Jean-François; Song, Xiao-Li; Vignolo, Patrizia Physical Review A, Vol. 82, Issue 3 https://doi.org/10.1103/PhysRevA.82.033430	journal	September 2010
Shortcut to adiabaticity for an interacting Bose-Einstein condensate Schaff, J. -F.; Song, X. -L.; Capuzzi, P. EPL (Europhysics Letters), Vol. 93, Issue 2 https://doi.org/10.1209/0295-5075/93/23001	journal	January 2011
Shortcuts to adiabaticity for trapped ultracold gases Schaff, Jean-François; Capuzzi, Pablo; Labeyrie, Guillaume New Journal of Physics, Vol. 13, Issue 11 https://doi.org/10.1088/1367-2630/13/11/113017	journal	November 2011
Non-equilibrium scale invariance and shortcuts to adiabaticity in a one-dimensional Bose gas Rohringer, W.; Fischer, D.; Steiner, F. Scientific Reports, Vol. 5, Issue 1 https://doi.org/10.1038/srep09820	journal	April 2015
Shortcuts to adiabaticity in the strongly coupled regime: Nonadiabatic control of a unitary Fermi gas Deng, Shujin; Diao, Pengpeng; Yu, Qianli Physical Review A, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevA.97.013628	journal	January 2018
Anomalous Minimum in the Shear Viscosity of a Fermi Gas Elliott, E.; Joseph, J. A.; Thomas, J. E. Physical Review Letters, Vol. 113, Issue 2 https://doi.org/10.1103/PhysRevLett.113.020406	journal	July 2014
Observation of a Strongly Interacting Degenerate Fermi Gas of Atoms O'Hara, K. M. Science, Vol. 298, Issue 5601 https://doi.org/10.1126/science.1079107	journal	November 2002
Fluctuation theorems: Work is not an observable Talkner, Peter; Lutz, Eric; Hänggi, Peter Physical Review E, Vol. 75, Issue 5 https://doi.org/10.1103/PhysRevE.75.050102	journal	May 2007
An Exact Quantum Theory of the Time‐Dependent Harmonic Oscillator and of a Charged Particle in a Time‐Dependent Electromagnetic Field Lewis, H. R.; Riesenfeld, W. B. Journal of Mathematical Physics, Vol. 10, Issue 8 https://doi.org/10.1063/1.1664991	journal	August 1969
Quantum supremacy of many-particle thermal machines Jaramillo, J.; Beau, M.; Campo, A. del New Journal of Physics, Vol. 18, Issue 7 https://doi.org/10.1088/1367-2630/18/7/075019	journal	July 2016
Quantum lubrication: Suppression of friction in a first-principles four-stroke heat engine Feldmann, Tova; Kosloff, Ronnie Physical Review E, Vol. 73, Issue 2 https://doi.org/10.1103/PhysRevE.73.025107	journal	February 2006
Dissipative fluid dynamics for the dilute Fermi gas at unitarity: Free expansion and rotation Schäfer, T. Physical Review A, Vol. 82, Issue 6 https://doi.org/10.1103/PhysRevA.82.063629	journal	December 2010
Shortcut to Adiabaticity for an Anisotropic Gas Containing Quantum Defects Papoular, D. J.; Stringari, S. Physical Review Letters, Vol. 115, Issue 2 https://doi.org/10.1103/PhysRevLett.115.025302	journal	July 2015

Cited By (7)

Focus on Shortcuts to Adiabaticity del Campo, Adolfo; Kim, Kihwan New Journal of Physics, Vol. 21, Issue 5 https://doi.org/10.1088/1367-2630/ab1437	journal	May 2019
Work exchange, geometric magnetization, and fluctuation-dissipation relations in a quantum dot under adiabatic magnetoelectric driving Terrén Alonso, Pablo; Romero, Javier; Arrachea, Liliana Physical Review B, Vol. 99, Issue 11 https://doi.org/10.1103/physrevb.99.115424	journal	March 2019
Power and efficiency of a thermal engine with a coherent bath Guff, Thomas; Daryanoosh, Shakib; Baragiola, Ben Q. Physical Review E, Vol. 100, Issue 3 https://doi.org/10.1103/physreve.100.032129	journal	September 2019
Floquet-Engineering Counterdiabatic Protocols in Quantum Many-Body Systems Claeys, Pieter W.; Pandey, Mohit; Sels, Dries Physical Review Letters, Vol. 123, Issue 9 https://doi.org/10.1103/physrevlett.123.090602	journal	August 2019
Work exchange, geometric magnetization and fluctuation-dissipation relations in a quantum dot under adiabatic magnetoelectric driving Alonso, Pablo Terrén; Romero, Javier; Arrachea, Liliana arXiv https://doi.org/10.48550/arxiv.1812.11614	text	January 2018
Focus on Shortcuts to Adiabaticity del Campo, Adolfo; Kim, Kihwan arXiv https://doi.org/10.48550/arxiv.1902.06283	text	January 2019
Floquet-engineering counterdiabatic protocols in quantum many-body systems Claeys, Pieter W.; Pandey, Mohit; Sels, Dries arXiv https://doi.org/10.48550/arxiv.1904.03209	text	January 2019