Shortcuts to adiabaticity from linear response theory
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]
- Univ. of Campinas (Brazil)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Center for Integrated Nanotechnologies (CINT)
- Publication Date:
- 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
- Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)
- Additional Journal Information:
- Journal Name: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print); Journal Volume: 92; Journal Issue: 4; Journal ID: ISSN 1539-3755
- Publisher:
- American Physical Society (APS)
- Research Org:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org:
- USDOE
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
- OSTI Identifier:
- 1236023
- Alternate Identifier(s):
- OSTI ID: 1243137
Acconcia, Thiago V., Bonança, Marcus V. S., and Deffner, Sebastian. Shortcuts to adiabaticity from linear response theory. United States: N. p.,
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. doi:10.1103/PhysRevE.92.042148.
Acconcia, Thiago V., Bonança, Marcus V. S., and Deffner, Sebastian. 2015.
"Shortcuts to adiabaticity from linear response theory". United States.
doi: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 (Print)},
number = 4,
volume = 92,
place = {United States},
year = {2015},
month = {10}
}
- Free Publicly Accessible Full Text
- Accepted Manuscript (Publisher)
-
Accepted Manuscript (DOE)
- Publisher's Version of Record
- https://doi.org/10.1103/PhysRevE.92.042148