Shortcuts to adiabaticity from linear response theory
Abstract
A shortcut to adiabaticity is a finite-time process that produces the same final state as would result from infinitely slow driving. We show that such shortcuts can be found for weak perturbations from linear response theory. Moreover, with the help of phenomenological response functions, a simple expression for the excess work is found—quantifying the nonequilibrium excitations. For two specific examples, i.e., the quantum parametric oscillator and the spin 1/2 in a time-dependent magnetic field, we show that finite-time zeros of the excess work indicate the existence of shortcuts. We finally propose a degenerate family of protocols, which facilitates shortcuts to adiabaticity for specific and very short driving times.
- Authors:
-
- Univ. of Campinas (Brazil)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Center for Integrated Nanotechnologies (CINT)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1236023
- Alternate Identifier(s):
- OSTI ID: 1243137
- Report Number(s):
- LA-UR-15-26367
Journal ID: ISSN 1539-3755; PLEEE8
- Grant/Contract Number:
- 134296/2013-3; 1504869; 2012/07429-0; AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 4; Journal ID: ISSN 1539-3755
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Acconcia, Thiago V., Bonança, Marcus V. S., and Deffner, Sebastian. Shortcuts to adiabaticity from linear response theory. United States: N. p., 2015.
Web. doi:10.1103/PhysRevE.92.042148.
Acconcia, Thiago V., Bonança, Marcus V. S., & Deffner, Sebastian. Shortcuts to adiabaticity from linear response theory. United States. https://doi.org/10.1103/PhysRevE.92.042148
Acconcia, Thiago V., Bonança, Marcus V. S., and Deffner, Sebastian. Fri .
"Shortcuts to adiabaticity from linear response theory". United States. https://doi.org/10.1103/PhysRevE.92.042148. https://www.osti.gov/servlets/purl/1236023.
@article{osti_1236023,
title = {Shortcuts to adiabaticity from linear response theory},
author = {Acconcia, Thiago V. and Bonança, Marcus V. S. and Deffner, Sebastian},
abstractNote = {A shortcut to adiabaticity is a finite-time process that produces the same final state as would result from infinitely slow driving. We show that such shortcuts can be found for weak perturbations from linear response theory. Moreover, with the help of phenomenological response functions, a simple expression for the excess work is found—quantifying the nonequilibrium excitations. For two specific examples, i.e., the quantum parametric oscillator and the spin 1/2 in a time-dependent magnetic field, we show that finite-time zeros of the excess work indicate the existence of shortcuts. We finally propose a degenerate family of protocols, which facilitates shortcuts to adiabaticity for specific and very short driving times.},
doi = {10.1103/PhysRevE.92.042148},
journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics},
number = 4,
volume = 92,
place = {United States},
year = {Fri Oct 23 00:00:00 EDT 2015},
month = {Fri Oct 23 00:00:00 EDT 2015}
}
Web of Science
Works referenced in this record:
Minimal work principle: Proof and counterexamples
journal, April 2005
- Allahverdyan, A. E.; Nieuwenhuizen, Th. M.
- Physical Review E, Vol. 71, Issue 4
Fluctuation theorems: Work is not an observable
journal, May 2007
- Talkner, Peter; Lutz, Eric; Hänggi, Peter
- Physical Review E, Vol. 75, Issue 5
Colloquium : Quantum fluctuation relations: Foundations and applications
journal, July 2011
- Campisi, Michele; Hänggi, Peter; Talkner, Peter
- Reviews of Modern Physics, Vol. 83, Issue 3
Fast Optimal Frictionless Atom Cooling in Harmonic Traps: Shortcut to Adiabaticity
journal, February 2010
- Chen, Xi; Ruschhaupt, A.; Schmidt, S.
- Physical Review Letters, Vol. 104, Issue 6
Shortcuts to adiabaticity in a time-dependent box
journal, September 2012
- Campo, A. del; Boshier, M. G.
- Scientific Reports, Vol. 2, Issue 1
Acceleration of adiabatic quantum dynamics in electromagnetic fields
journal, October 2011
- Masuda, Shumpei; Nakamura, Katsuhiro
- Physical Review A, Vol. 84, Issue 4
Shortcuts to adiabaticity: Fast-forward approach
journal, July 2012
- Torrontegui, E.; Martínez-Garaot, S.; Ruschhaupt, A.
- Physical Review A, Vol. 86, Issue 1
Adiabatic Population Transfer with Control Fields
journal, November 2003
- Demirplak, Mustafa; Rice, Stuart A.
- The Journal of Physical Chemistry A, Vol. 107, Issue 46
Assisted Adiabatic Passage Revisited †
journal, April 2005
- Demirplak, Mustafa; Rice, Stuart A.
- The Journal of Physical Chemistry B, Vol. 109, Issue 14
Transitionless quantum driving
journal, August 2009
- Berry, M. V.
- Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 36
Classical and Quantum Shortcuts to Adiabaticity for Scale-Invariant Driving
journal, April 2014
- Deffner, Sebastian; Jarzynski, Christopher; del Campo, Adolfo
- Physical Review X, Vol. 4, Issue 2
Optimal shortcuts to adiabaticity for a quantum piston
journal, October 2013
- Stefanatos, Dionisis
- Automatica, Vol. 49, Issue 10
Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
journal, May 2015
- Campbell, Steve; De Chiara, Gabriele; Paternostro, Mauro
- Physical Review Letters, Vol. 114, Issue 17
Suppression of work fluctuations by optimal control: An approach based on Jarzynski's equality
journal, November 2014
- Xiao, Gaoyang; Gong, Jiangbin
- Physical Review E, Vol. 90, Issue 5
Degenerate optimal paths in thermally isolated systems
journal, April 2015
- Acconcia, Thiago V.; Bonança, Marcus V. S.
- Physical Review E, Vol. 91, Issue 4
Thermodynamic Metrics and Optimal Paths
journal, May 2012
- Sivak, David A.; Crooks, Gavin E.
- Physical Review Letters, Vol. 108, Issue 19
Optimal driving of isothermal processes close to equilibrium
journal, June 2014
- Bonança, Marcus V. S.; Deffner, Sebastian
- The Journal of Chemical Physics, Vol. 140, Issue 24
Nonequilibrium work distribution of a quantum harmonic oscillator
journal, February 2008
- Deffner, Sebastian; Lutz, Eric
- Physical Review E, Vol. 77, Issue 2
Quantum work statistics of linear and nonlinear parametric oscillators
journal, October 2010
- Deffner, Sebastian; Abah, Obinna; Lutz, Eric
- Chemical Physics, Vol. 375, Issue 2-3
Diverse phenomena, common themes
journal, February 2015
- Jarzynski, Christopher
- Nature Physics, Vol. 11, Issue 2
Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems
journal, June 1957
- Kubo, Ryogo
- Journal of the Physical Society of Japan, Vol. 12, Issue 6
Miscellanea in Elementary Quantum Mechanics, II
journal, April 1953
- Husimi, K.
- Progress of Theoretical Physics, Vol. 9, Issue 4
Interference of identical particles and the quantum work distribution
journal, December 2014
- Gong, Zongping; Deffner, Sebastian; Quan, H. T.
- Physical Review E, Vol. 90, Issue 6
Employing Trapped Cold Ions to Verify the Quantum Jarzynski Equality
journal, August 2008
- Huber, Gerhard; Schmidt-Kaler, Ferdinand; Deffner, Sebastian
- Physical Review Letters, Vol. 101, Issue 7
Single-Ion Heat Engine at Maximum Power
journal, November 2012
- Abah, O.; Roßnagel, J.; Jacob, G.
- Physical Review Letters, Vol. 109, Issue 20
Nanoscale Heat Engine Beyond the Carnot Limit
journal, January 2014
- Roßnagel, J.; Abah, O.; Schmidt-Kaler, F.
- Physical Review Letters, Vol. 112, Issue 3
Thermodynamic length for far-from-equilibrium quantum systems
journal, February 2013
- Deffner, Sebastian; Lutz, Eric
- Physical Review E, Vol. 87, Issue 2
Optimal protocols for Hamiltonian and Schrödinger dynamics
journal, July 2009
- Schmiedl, Tim; Dieterich, Eckhard; Dieterich, Peter-Simon
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2009, Issue 07
Quantal Phase Factors Accompanying Adiabatic Changes
journal, March 1984
- Berry, M. V.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 392, Issue 1802
Comment on the adiabatic condition
journal, October 2000
- Aguiar Pinto, A. C.; Nemes, M. C.; Peixoto de Faria, J. G.
- American Journal of Physics, Vol. 68, Issue 10
Nonequilibrium work distribution of a quantum harmonic oscillator
text, January 2007
- Deffner, Sebastian; Lutz, Eric
- arXiv
Employing trapped cold ions to verify the quantum Jarzynski equality
text, January 2008
- Huber, Gerhard; Schmidt-Kaler, Ferdinand; Deffner, Sebastian
- arXiv
Quantum work statistics of linear and nonlinear parametric oscillators
text, January 2010
- Deffner, Sebastian; Abah, Obinna; Lutz, Eric
- arXiv
Thermodynamic length for far from equilibrium quantum systems
text, January 2012
- Deffner, Sebastian; Lutz, Eric
- arXiv
Optimal Shortcuts to Adiabaticity for a Quantum Piston
text, January 2013
- Stefanatos, Dionisis
- arXiv
Classical and quantum shortcuts to adiabaticity for scale-invariant driving
text, January 2014
- Deffner, Sebastian; Jarzynski, Christopher; del Campo, Adolfo
- arXiv
Optimal driving of isothermal processes close to equilibrium
text, January 2014
- Bonança, Marcus V. S.; Deffner, Sebastian
- arXiv
Interference of Identical Particles and the Quantum Work Distribution
text, January 2014
- Gong, Zongping; Deffner, Sebastian; Quan, H. T.
- arXiv
Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
text, January 2014
- Campbell, Steve; De Chiara, Gabriele; Paternostro, Mauro
- arXiv
Fluctuation theorems: Work is not an observable
text, January 2007
- Talkner, Peter; Lutz, Eric; Hanggi, Peter
- arXiv
Comment on the Adiabatic Condition
text, January 1999
- Pinto, A. C. Aguiar; Nemes, M. C.; de Faria, J. G. Peixoto
- arXiv
Works referencing / citing this record:
Engineered swift equilibration of a Brownian particle
journal, May 2016
- Martínez, Ignacio A.; Petrosyan, Artyom; Guéry-Odelin, David
- Nature Physics, Vol. 12, Issue 9
A double-slit proposal for quantum annealing
journal, May 2019
- Munoz-Bauza, Humberto; Chen, Huo; Lidar, Daniel
- npj Quantum Information, Vol. 5, Issue 1
Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control
journal, October 2017
- Deffner, Sebastian; Campbell, Steve
- Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 45
Comparison between optimal control and shortcut to adiabaticity protocols in a linear control system
journal, January 2020
- Martikyan, V.; Guéry-Odelin, D.; Sugny, D.
- Physical Review A, Vol. 101, Issue 1
Occurrence of discontinuities in the performance of finite-time quantum Otto cycles
journal, July 2016
- Zheng, Yuanjian; Hänggi, Peter; Poletti, Dario
- Physical Review E, Vol. 94, Issue 1
Thermal bath engineering for swift equilibration
journal, July 2018
- Chupeau, Marie; Besga, Benjamin; Guéry-Odelin, David
- Physical Review E, Vol. 98, Issue 1
Minimal dissipation in processes far from equilibrium
journal, October 2018
- Bonança, Marcus V. S.; Deffner, Sebastian
- Physical Review E, Vol. 98, Issue 4
Thermodynamic length in open quantum systems
journal, October 2019
- Scandi, Matteo; Perarnau-Llobet, Martí
- Quantum, Vol. 3
Controlling the speed and trajectory of evolution with counterdiabatic driving
journal, August 2020
- Iram, Shamreen; Dolson, Emily; Chiel, Joshua
- Nature Physics, Vol. 17, Issue 1
Minimal dissipation in processes far from equilibrium
collection, January 2018
- Bonanca, Marcus V. S.; Deffner, Sebastian
- My University
Engineered swift equilibration of a Brownian particle
text, January 2015
- Martinez, Ignacio; Petrosyan, Artyom; Guéry-Odelin, David
- arXiv
Trade-off between speed and cost in shortcuts to adiabaticity
text, January 2016
- Campbell, Steve; Deffner, Sebastian
- arXiv
Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
text, January 2017
- Deffner, Sebastian; Campbell, Steve
- arXiv
The role of coherence in the non-equilibrium thermodynamics of quantum systems
text, January 2017
- Francica, G.; Goold, J.; Plastina, F.
- arXiv
Thermal bath Engineering for Swift Equilibration
text, January 2018
- Chupeau, Marie; Besga, Benjamin; Guéry-Odelin, David
- arXiv
Minimal dissipation in processes far from equilibrium
text, January 2018
- Bonança, Marcus V. S.; Deffner, Sebastian
- arXiv
Thermodynamic length in open quantum systems
text, January 2018
- Scandi, Matteo; Perarnau-Llobet, Martí
- arXiv
A double-slit proposal for quantum annealing
text, January 2019
- Munoz-Bauza, Humberto; Chen, Huo; Lidar, Daniel
- arXiv