1202.1341 (D. H. J. O'Dell)

Quantum rainbows and ergodicity in many-body dynamics    [PDF]

D. H. J. O'Dell

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?

View original: http://arxiv.org/abs/1202.1341