Shortcuts to adiabaticity across a separatrix
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866910564799741952 |
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| author | Holtzman, Roi Raz, Oren Jarzynski, Christopher |
| author_facet | Holtzman, Roi Raz, Oren Jarzynski, Christopher |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_06916 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Shortcuts to adiabaticity across a separatrix Holtzman, Roi Raz, Oren Jarzynski, Christopher Statistical Mechanics Classical Physics 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. |
| title | Shortcuts to adiabaticity across a separatrix |
| topic | Statistical Mechanics Classical Physics |
| url | https://arxiv.org/abs/2408.06916 |