Work

Shortcuts to Adiabaticity across a Separatrix

Year: 2025

Type: article

Abstract: Shortcuts to adiabaticity are strategies for conserving adiabatic invariants under nonadiabatic (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 bound and fidelity do not depend on the protocol's duration.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.134.157201

Authors: Roi Holtzman, Oren Raz, Christopher Jarzynski

Institutions: Weizmann Institute of Science, University of Maryland, College Park

Language: English

Topic: Advanced Thermodynamics and Statistical Mechanics

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Minerva Foundation, United States-Israel Binational Science Foundation, Israel Science Foundation

Awards: Dynamics and Thermodynamics of Nanoscale Systems, G910775081