Decoherence of a one--dimensional particle with δ--interaction

Details Decoherence of a one--dimensional particle with δ--interaction Decoherence of a one--dimensional particle with δ--interaction

2011-11-12

arxiv.org/abs/1111.2972v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

27 pages, 8 figures

Scientific paper

We calculate zero temperature Green's function, density--density correlations and expectation values of a one--dimensional quantum particle which interacts with a Fermi--sea via a \delta-potential. The wave functions of the Bethe-Ansatz solvable model can be expressed as a determinant. This allows us to obtain a compact expressions for the Green's function. In the hardcore limit the resulting expression can be analysed further using Painlev{\'e} V transcendents . It is found that depending on the extra particles momentum its Green's function undergoes a transition of the one for hardcore Bosons to the one of free Fermions.

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