Shortcuts to adiabaticity from linear response theory

Acconcia, Thiago V.; Bonança, Marcus V.  S.; Deffner, Sebastian

doi:10.1103/PhysRevE.92.042148

Title: Shortcuts to adiabaticity from linear response theory

Journal Article · 23 October 2015 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

DOI: https://doi.org/10.1103/PhysRevE.92.042148 · OSTI ID:1236023

Acconcia, Thiago V. ^[1]; Bonança, Marcus V. S. ^[1]; Deffner, Sebastian ^[2]

Univ. of Campinas (Brazil)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Center for Integrated Nanotechnologies (CINT)

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.

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

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1236023

Report Number(s):: LA-UR--15-26367

Journal Information:: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Journal Name: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics Journal Issue: 4 Vol. 92; ISSN PLEEE8; ISSN 1539-3755

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Thermal bath engineering for swift equilibration Chupeau, Marie; Besga, Benjamin; Guéry-Odelin, David Physical Review E, Vol. 98, Issue 1 https://doi.org/10.1103/physreve.98.010104	journal	July 2018
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Shortcuts to adiabaticity: Concepts, methods, and applications Guéry-Odelin, D.; Ruschhaupt, A.; Kiely, A. Reviews of Modern Physics, Vol. 91, Issue 4 https://doi.org/10.1103/revmodphys.91.045001	journal	October 2019
Minimal dissipation in processes far from equilibrium Bonanca, Marcus V. S.; Deffner, Sebastian My University https://doi.org/10.13016/m2b27pt1m	collection	January 2018
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Engineered swift equilibration of a Brownian particle Martinez, Ignacio; Petrosyan, Artyom; Guéry-Odelin, David arXiv https://doi.org/10.48550/arxiv.1512.07821	text	January 2015
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Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control Deffner, Sebastian; Campbell, Steve arXiv https://doi.org/10.48550/arxiv.1705.08023	text	January 2017
The role of coherence in the non-equilibrium thermodynamics of quantum systems Francica, G.; Goold, J.; Plastina, F. arXiv https://doi.org/10.48550/arxiv.1707.06950	text	January 2017
Thermal bath Engineering for Swift Equilibration Chupeau, Marie; Besga, Benjamin; Guéry-Odelin, David arXiv https://doi.org/10.48550/arxiv.1801.09438	text	January 2018
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Thermodynamic length in open quantum systems Scandi, Matteo; Perarnau-Llobet, Martí arXiv https://doi.org/10.48550/arxiv.1810.05583	text	January 2018
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