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Title: 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:
 [1];  [1];  [2]
  1. Univ. of Campinas (Brazil)
  2. 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 = {2015},
month = {10}
}

Journal Article:

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Cited by: 12 works
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Works referenced in this record:

Minimal work principle: Proof and counterexamples
journal, April 2005


Fluctuation theorems: Work is not an observable
journal, May 2007


Colloquium : Quantum fluctuation relations: Foundations and applications
journal, July 2011

  • Campisi, Michele; Hänggi, Peter; Talkner, Peter
  • Reviews of Modern Physics, Vol. 83, Issue 3
  • DOI: 10.1103/RevModPhys.83.771

The other QFT
journal, February 2015

  • Hänggi, Peter; Talkner, Peter
  • Nature Physics, Vol. 11, Issue 2
  • DOI: 10.1038/nphys3167

Fast Optimal Frictionless Atom Cooling in Harmonic Traps: Shortcut to Adiabaticity
journal, February 2010


Shortcuts to adiabaticity in a time-dependent box
journal, September 2012

  • Campo, A. del; Boshier, M. G.
  • Scientific Reports, Vol. 2, Issue 1
  • DOI: 10.1038/srep00648

Acceleration of adiabatic quantum dynamics in electromagnetic fields
journal, October 2011


Shortcuts to adiabaticity: Fast-forward approach
journal, July 2012


Adiabatic Population Transfer with Control Fields
journal, November 2003

  • Demirplak, Mustafa; Rice, Stuart A.
  • The Journal of Physical Chemistry A, Vol. 107, Issue 46
  • DOI: 10.1021/jp030708a

Assisted Adiabatic Passage Revisited
journal, April 2005

  • Demirplak, Mustafa; Rice, Stuart A.
  • The Journal of Physical Chemistry B, Vol. 109, Issue 14
  • DOI: 10.1021/jp040647w

Transitionless quantum driving
journal, August 2009


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
  • DOI: 10.1103/PhysRevX.4.021013

Optimal shortcuts to adiabaticity for a quantum piston
journal, October 2013


Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
journal, May 2015


Suppression of work fluctuations by optimal control: An approach based on Jarzynski's equality
journal, November 2014


Degenerate optimal paths in thermally isolated systems
journal, April 2015


Thermodynamic Metrics and Optimal Paths
journal, May 2012


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
  • DOI: 10.1063/1.4885277

Nonequilibrium work distribution of a quantum harmonic oscillator
journal, February 2008


Quantum work statistics of linear and nonlinear parametric oscillators
journal, October 2010


Diverse phenomena, common themes
journal, February 2015


Miscellanea in Elementary Quantum Mechanics, II
journal, April 1953


Interference of identical particles and the quantum work distribution
journal, December 2014


Employing Trapped Cold Ions to Verify the Quantum Jarzynski Equality
journal, August 2008


Single-Ion Heat Engine at Maximum Power
journal, November 2012


Nanoscale Heat Engine Beyond the Carnot Limit
journal, January 2014


Thermodynamic length for far-from-equilibrium quantum systems
journal, February 2013


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
  • DOI: 10.1088/1742-5468/2009/07/P07013

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
  • DOI: 10.1098/rspa.1984.0023

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
  • DOI: 10.1119/1.1285944

Nonequilibrium work distribution of a quantum harmonic oscillator
text, January 2007


Employing trapped cold ions to verify the quantum Jarzynski equality
text, January 2008


Quantum work statistics of linear and nonlinear parametric oscillators
text, January 2010


Thermodynamic metrics and optimal paths
text, January 2012


Thermodynamic length for far from equilibrium quantum systems
text, January 2012


Optimal Shortcuts to Adiabaticity for a Quantum Piston
text, January 2013


Classical and quantum shortcuts to adiabaticity for scale-invariant driving
text, January 2014


Optimal driving of isothermal processes close to equilibrium
text, January 2014


Interference of Identical Particles and the Quantum Work Distribution
text, January 2014


Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
text, January 2014


Fluctuation theorems: Work is not an observable
text, January 2007


Comment on the Adiabatic Condition
text, January 1999


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
  • DOI: 10.1038/nphys3758

A double-slit proposal for quantum annealing
journal, May 2019


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
  • DOI: 10.1088/1751-8121/aa86c6

Comparison between optimal control and shortcut to adiabaticity protocols in a linear control system
journal, January 2020


Speeding up a quantum refrigerator via counterdiabatic driving
journal, July 2019


Occurrence of discontinuities in the performance of finite-time quantum Otto cycles
journal, July 2016


Thermal bath engineering for swift equilibration
journal, July 2018


Minimal dissipation in processes far from equilibrium
journal, October 2018


Role of coherence in the nonequilibrium thermodynamics of quantum systems
journal, April 2019


Trade-Off Between Speed and Cost in Shortcuts to Adiabaticity
journal, March 2017


Shortcuts to adiabaticity: Concepts, methods, and applications
journal, October 2019


Thermodynamic length in open quantum systems
journal, October 2019


Controlling the speed and trajectory of evolution with counterdiabatic driving
journal, August 2020


Minimal dissipation in processes far from equilibrium
collection, January 2018


Engineered swift equilibration of a Brownian particle
text, January 2015


Trade-off between speed and cost in shortcuts to adiabaticity
text, January 2016


The role of coherence in the non-equilibrium thermodynamics of quantum systems
text, January 2017


Thermal bath Engineering for Swift Equilibration
text, January 2018


Minimal dissipation in processes far from equilibrium
text, January 2018


Thermodynamic length in open quantum systems
text, January 2018


A double-slit proposal for quantum annealing
text, January 2019