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 = {2015},
month = {10}
}
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