On Landauer-Büttiker formalism from a quantum quench
نویسندگان
چکیده
Abstract We study transport in the free fermionic one-dimensional systems subjected to arbitrary local potentials. The bias needed for is modeled by initial highly non-equilibrium distribution where only half of system populated. Additionally that, potential also suddenly changed when starts. For such a quench protocol we compute Full Counting Statistics (FCS) number particles initially empty part. In thermodynamic limit, FCS can be expressed via Fredholm determinant with kernel depending
on scattering data and Jost solutions pre-quench post-quench discuss large-time asymptotic behavior obtained observe that if two or more bound states are present spectrum information about state manifests itself persistent oscillations FCS. On contrary, there no determined solely potential, which current (the first moment) given Landauer--Büttiker formalism. observed transient dynamics.
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ژورنال
عنوان ژورنال: Journal of Physics A
سال: 2023
ISSN: ['1751-8113', '1751-8121']
DOI: https://doi.org/10.1088/1751-8121/accabf