Chaos assisted many-body tunnelling

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 Schrödinger 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.

Includes Supplemental Material

References in corpus (12)

• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• Testing the limits of quantum mechanical superpositions
• Fault-tolerant linear optical quantum computing with small-amplitude coherent states
• Realization of a single Josephson junction for Bose-Einstein condensates
• Dynamical tunneling in mushroom billiards
• Chaos-assisted tunneling resonances in a synthetic Floquet superlattice
• Absence of heating in a uniform Fermi gas created by periodic driving
• NOON states with ultracold bosonic atoms via resonance- and chaos-assisted tunneling
• Chaos-Assisted Long-Range Tunneling for Quantum Simulation
• Creating triple-NOON states with ultracold atoms via chaos-assisted tunneling
• Coherence oscillations between weakly coupled Bose-Hubbard dimers
• Prethermalization with negative specific heat