English

Chaos assisted many-body tunnelling

Quantum Gases 2022-11-09 v1 Chaotic Dynamics Quantum Physics

Abstract

We study the interplay of chaos and tunnelling between two weakly-coupled Bose-Josephson junctions. The classical phase space of the composite system has a mixed structure including quasi-integrable self-trapping islands for particles and excitations, separated by a chaotic sea. We show that the many-body dynamical tunnelling gap between macroscopic Schr\"odinger cat states supported by these islands is chaos-enhanced. The many-body tunnelling rate fluctuates over several orders of magnitude with small variations of the system parameters or the particle number.

Keywords

Cite

@article{arxiv.2206.09371,
  title  = {Chaos assisted many-body tunnelling},
  author = {Urbashi Satpathi and Sayak Ray and Amichay Vardi},
  journal= {arXiv preprint arXiv:2206.09371},
  year   = {2022}
}

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Includes Supplemental Material