Shortcuts to adiabaticity from linear response theory release_wcdyke7ojfhw3pjtswa3oresda

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

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2015  

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. With the help of phenomenological response functions a simple expression for the excess work is found -- quantifying the nonequilibrium excitations. For two specific examples, 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. Finally, we propose a degenerate family of protocols, which facilitate shortcuts to adiabaticity for specific and very short driving times.
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Type  report
Stage   submitted
Date   2015-08-13
Version   v1
Language   en ?
Number  LA-UR-15-26367
arXiv  1508.03265v1
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