{
  "id": "2208.04183",
  "version": "v1",
  "published": "2022-08-05T14:49:09.000Z",
  "updated": "2022-08-05T14:49:09.000Z",
  "title": "An Exactly Solvable Toy Model of Autocatalysis: Irreversible Relaxation after a Quantum Quench",
  "authors": [
    "Roberto Merlin"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "A fully resolvable quantum many-body Hamiltonian is introduced that mimics the behavior of the autocatalytic chemical reaction A+B <-> 2B involving two different molecular species, A and B. The model also describes two nonlinearly-coupled modes of an optical cavity. Consistent with the current understanding of the relaxation dynamics of integrable systems in isolation, the wavefunction following a quantum quench exhibits irreversibility with retention of the memory about its initial conditions. Salient features of the model include a marked similarity with conventional quantum decay and a total B-to-A conversion, with associated classical-like behavior of the wavefunction, when the initial state does not contain A-type molecules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-05T14:49:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exactly solvable toy model",
      "quantum quench",
      "irreversible relaxation",
      "autocatalysis",
      "contain a-type molecules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}