Coherence dynamics of kicked Bose-Hubbard dimers: Interferometric signatures of chaos

Abstract

We study the coherence dynamics of a kicked two-mode Bose-Hubbard model starting with an arbitrary coherent spin preparation. For preparations in the chaotic regions of phase-space we find a generic behavior with Flouquet participation numbers that scale as the entire $N$-particle Hilbert space, leading to a rapid loss of single particle coherence. However, the chaotic behavior is not uniform throughout the chaotic sea, and unique statistics is found for preparations at the vicinity of hyperbolic points that are embedded in it. This is contrasted with the low log(N) participation that is responsible for the revivals at the vicinity of isolated hyperbolic instabilities.

7 pages, 5 figures

References in corpus (3)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Nonlinear atom interferometer surpasses classical precision limit
• Matter-wave interferometry in a double well on an atom chip

Cited by in corpus (5)

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• Exact variational dynamics of the multimode Bose-Hubbard model based on SU(M) coherent states
• Classical route to ergodicity and scarring in collective quantum systems
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• Metastability, chaos and spectrum tomography for Bose-Hubbard rings and chains