Landau Days 2013
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Landau Days 2013
June, 24-26
Chernogolovka, Russia
 
   

Correlations in non-equilibrium Luttinger liquid and singular Fredholm determinants
Date/Time: 12:00 25-Jun-2013
Abstract:
We study interaction-induced correlations in Luttinger liquid with multiple Fermi edges. Many-particle correlation functions are expressed in terms of Fredholm determinants ${\rm det}(1+\hat{A}\hat{B})$, where $A(\epsilon)$ and $B(t)$ have multiple discontinuities in energy and time spaces. We propose a general asymptotic formula for this class of determinants and provide analytical and numerical support to this conjecture. This allows us to establish non-equilibrium Fermi-edge singularities of many-particle correlation functions. As an example, we calculate a two-particle distribution function characterizing genuinely non-equilibrium quantum correlations between left- and right-moving fermions that have left the interaction region.
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Authors
Protopopov Ivan V. (Presenter)
(no additional information)

 
 
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