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  Pauli Master Equation usable for Bose-Einstein condensation?

+ 4 like - 0 dislike

As I am not an expert in the field, please correct me accordingly. Now to my problem: I wondered whether it is justified to use the Pauli Master Equation (i.e. linear coupling to markovian environment, sekular and born approximation) in the context of a phase transition such as in the case of Bose-Einstein condensation. The main meta question behind this are, of course, how to propagate the non-equilibrium time evolution of the transition into the model, and to which extent does the spectral density of the bath play a role.

Thanks in advance!

asked Apr 30, 2015 in Theoretical Physics by vsilv (60 points) [ no revision ]
recategorized Apr 30, 2015 by Dilaton

1 Answer

+ 2 like - 0 dislike

I am no expert myslef, but I believe that Master equation analyses of Bose-Einstein condensation have indeed been employed in the past. E.g. in the works of Gardiner, Zoller and co-workes (for example, "Quantum kinetic theory III", PRA 58, 536 (1998) ), and of Scully, Zubairy and co-workers (for example,  "Condensation of N bosons II", PRA 61, 023609 (2000) ). The above two papers include derivations of the master equations they study.

A nice recent application of this approach was to study what happens to condensation in a non-equilibrium steady state (answer: several condensates may form!), see Vorberg et. al, PRL 111, 240405 (2013).

answered Sep 28, 2015 by orihir (20 points) [ no revision ]

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