跨越分界线的绝热捷径。

Shortcuts to Adiabaticity across a Separatrix.

作者信息

Holtzman Roi, Raz Oren, Jarzynski Christopher

机构信息

Weizmann Institute of Science, Department of Physics of Complex Systems, Rehovot, 76100, Israel.

University of Maryland, University of Maryland, University of Maryland, Institute for Physical Science and Technology, College Park, Maryland 20742, USA; Department of Chemistry and Biochemistry, College Park, Maryland 20742, USA; and Department of Physics, College Park, Maryland 20742, USA.

出版信息

Phys Rev Lett. 2025 Apr 18;134(15):157201. doi: 10.1103/PhysRevLett.134.157201.

DOI:10.1103/PhysRevLett.134.157201

PMID:40315527

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.

摘要

绝热捷径是在非绝热（即快速驱动）条件下保持绝热不变量的策略。在此，我们展示了如何将经典的哈密顿绝热捷径进行扩展，以允许穿越相空间分界线——在这种情况下不存在相应的绝热协议。具体而言，我们展示了如何构造一个含时哈密顿量，使其能使一个能量壳层穿越分界线演化到另一个能量壳层。利用这种方法，我们设计了一种擦除过程，其能量成本界限和保真度不依赖于协议的持续时间。