Equivalence of a compressible inviscid flow and the Bloch vector under the thermal Jaynes-Cummings model
arXiv:1407.3376 · doi:10.1016/j.physd.2015.05.006
Abstract
In this paper, we show that the time evolution of the Bloch vector governed by the thermal Jaynes-Cummings model is equivalent to a compressible inviscid flow with zero vorticity. Because of its quasiperiodicity, the dynamics of the Bloch vector includes countably infinite angular momenta as integrals of motion. Moreover, to derive the Bloch vector, we trace out the Hilbert space of the cavity field and remove entanglement between the single atom and the cavity mode. These facts indicate that the dynamics of the Bloch vector can be described with a hidden-variable model that has local determinism and a countably infinite number of degrees of freedom. Our results fit these considerations.
v1: 19 pages, 5 eps figures, latex2e. Because the manuscript arXiv:1205.4308v2 was too long, it was divided into two parts. This manuscript is the second part of the original one. In the current paper, the discussions focus on the equivalence between the dynamics of a compressible fluid and the thermal Jaynes-Cummings model; v2: 21 pages, remarks about a hidden-variable model are added