Quantum-classical correspondence of shortcuts to adiabaticity

Manaka Okuyama, Kazutaka Takahashi

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

We formulate the theory of shortcuts to adiabaticity in classical mechanics. For a reference Hamiltonian, the counterdiabatic term is constructed from the dispersionless Korteweg-de Vries (KdV) hierarchy. Then the adiabatic theorem holds exactly for an arbitrary choice of time-dependent parameters. We use the Hamilton-Jacobi theory to define the generalized action. The action is independent of the history of the parameters and is directly related to the adiabatic invariant. The dispersionless KdV hierarchy is obtained from the classical limit of the KdV hierarchy for the quantum shortcuts to adiabaticity. This correspondence suggests some relation between the quantum and classical adiabatic theorems.

Original languageEnglish
Article number043002
Journaljournal of the physical society of japan
Volume86
Issue number4
DOIs
Publication statusPublished - 2017 Apr 15
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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