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Acconcia TV, Bonança MV, Deffner S. Shortcuts to adiabaticity from linear response theory. Phys Rev E Stat Nonlin Soft Matter Phys. 2015;92(4):042148doi: 10.1103/PhysRevE.92.042148.
Acconcia, T. V., Bonança, M. V., & Deffner, S. (2015). Shortcuts to adiabaticity from linear response theory. Physical review. E, Statistical, nonlinear, and soft matter physics, 92(4), 042148. https://doi.org/10.1103/PhysRevE.92.042148
Acconcia, Thiago V, et al. "Shortcuts to adiabaticity from linear response theory." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 92,4 (2015): 042148. doi: https://doi.org/10.1103/PhysRevE.92.042148
Acconcia TV, Bonança MV, Deffner S. Shortcuts to adiabaticity from linear response theory. Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Oct;92(4):042148. doi: 10.1103/PhysRevE.92.042148. Epub 2015 Oct 23. PMID: 26565209.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Oct;92(4):042148. doi: 10.1103/PhysRevE.92.042148. Epub 2015 Oct 23.

Shortcuts to adiabaticity from linear response theory.

Physical review. E, Statistical, nonlinear, and soft matter physics

Thiago V Acconcia, Marcus V S Bonança, Sebastian Deffner

Affiliations

  1. Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas - Unicamp, Rua Sérgio Buarque de Holanda 777, 13083-859 Campinas, São Paulo, Brazil.
  2. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.

PMID: 26565209 DOI: 10.1103/PhysRevE.92.042148

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, 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. Finally, we propose a degenerate family of protocols, which facilitates shortcuts to adiabaticity for specific and very short driving times.

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