{
  "id": "2408.06916",
  "version": "v1",
  "published": "2024-08-13T14:08:18.000Z",
  "updated": "2024-08-13T14:08:18.000Z",
  "title": "Shortcuts to adiabaticity across a separatrix",
  "authors": [
    "Roi Holtzman",
    "Oren Raz",
    "Christopher Jarzynski"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "physics.class-ph"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-13T14:08:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "adiabaticity",
      "energy shell",
      "conserving adiabatic invariants",
      "erasure procedure",
      "protocols duration"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}