Many-particle correlations in non-equilibrium Luttinger liquid

Details Many-particle correlations in non-equilibrium Luttinger liquid Many-particle correlations in non-equilibrium Luttinger liquid

2011-07-27

arxiv.org/abs/1107.5561v1

J. Stat. Mech. (2011) P11001

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

23 pages,7 figures

Scientific paper

We develop an operator-based approach to the problem of Luttinger liquid conductor in a non-equilibrium stationary state. We show that the coherent-state many-body fermionic density matrix as well as all fermionic correlation functions out of equilibrium are given by one-dimensional functional determinants of the Fredholm type. Thus, the model constitutes a remarkable example of a many-body problem where all the correlation functions can be evaluated exactly. On the basis of the general formalism we investigate four-point correlation functions of the fermions coming out of the Luttinger liquid wire. Obtained correlations in the fermionic distribution functions represent the combined effect of interaction and non-equilibrium conditions.

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