Quantum rainbows and ergodicity in many-body dynamics

Details Quantum rainbows and ergodicity in many-body dynamics Quantum rainbows and ergodicity in many-body dynamics

2012-02-07

arxiv.org/abs/1202.1341v1

Physics

Condensed Matter

Quantum Gases

5 pages, 3 figures

Scientific paper

We consider rainbows in Fock space that form following a quench in a Bose Josephson junction. In the Gross-Pitaevskii mean-field theory the rainbows are singular caustics, but in the second-quantized theory they are described by well behaved Airy functions. We discuss the analyticity of the macroscopic limit and also show that the long-time dynamics are ergodic. Our results are relevant to the question posed by Berry [M.V. Berry, Nonlinearity 21, T19 (2008)]: are there circumstances when it is necessary to second-quantize wave theory in order to avoid singularities?

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