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 · Fri Oct 23 00:00:00 EDT 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:: 134296/2013-3; 1504869; 2012/07429-0; AC52-06NA25396

OSTI ID:: 1236023

Alternate ID(s):: OSTI ID: 1243137

Report Number(s):: LA-UR-15-26367; PLEEE8

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

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 41 works

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Comparison between optimal control and shortcut to adiabaticity protocols in a linear control system Martikyan, V.; Guéry-Odelin, D.; Sugny, D. Physical Review A, Vol. 101, Issue 1 https://doi.org/10.1103/physreva.101.013423	journal	January 2020
Occurrence of discontinuities in the performance of finite-time quantum Otto cycles Zheng, Yuanjian; Hänggi, Peter; Poletti, Dario Physical Review E, Vol. 94, Issue 1 https://doi.org/10.1103/physreve.94.012137	journal	July 2016
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Controlling the speed and trajectory of evolution with counterdiabatic driving Iram, Shamreen; Dolson, Emily; Chiel, Joshua Nature Physics, Vol. 17, Issue 1 https://doi.org/10.1038/s41567-020-0989-3	journal	August 2020
Minimal dissipation in processes far from equilibrium Bonanca, Marcus V. S.; Deffner, Sebastian My University https://doi.org/10.13016/m2b27pt1m	collection	January 2018
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
Trade-off between speed and cost in shortcuts to adiabaticity Campbell, Steve; Deffner, Sebastian arXiv https://doi.org/10.48550/arxiv.1609.04662	text	January 2016
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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
Minimal dissipation in processes far from equilibrium Bonança, Marcus V. S.; Deffner, Sebastian arXiv https://doi.org/10.48550/arxiv.1803.07050	text	January 2018
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