Shortcuts to adiabaticity across a separatrix

Shortcuts to adiabaticity are strategies for conserving adiabatic invariants under non-adiabatic (i.e. fast-driving) conditions. Here, we show how to extend classical, Hamiltonian shortcuts to adiabaticity to allow the crossing of a phase-space separatrix -- a situation in which a corresponding adia...

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Bibliographic Details
Published inarXiv.org
Main Authors Holtzman, Roi, Raz, Oren, Jarzynski, Christopher
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 13.08.2024
Subjects
Adiabatic flow
Energy costs
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Summary:Shortcuts to adiabaticity are strategies for conserving adiabatic invariants under non-adiabatic (i.e. fast-driving) conditions. Here, we show how to extend classical, Hamiltonian shortcuts to adiabaticity to allow the crossing of a phase-space separatrix -- a situation in which a corresponding adiabatic protocol does not exist. Specifically, we show how to construct a time-dependent Hamiltonian that evolves one energy shell to another energy shell across a separatrix. Leveraging this method, we design an erasure procedure whose energy cost and fidelity do not depend on the protocol's duration.
ISSN:2331-8422