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arXiv · 2002.01838

Non-interacting many-particle quantum transport between finite reservoirs

Giulio Amato·Heinz-Peter Breuer·Sandro Wimberger·Alberto Rodríguez·Andreas Buchleitner
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Abstract

We present a formalism to study many-particle quantum transport across a lattice locally connected to two finite, non-stationary (bosonic or fermionic) reservoirs, both of which are in a thermal state. We show that, for conserved total particle number, a system of nonlinear quantum-classical master equations describes the concurrent many-particle time evolution on the lattice and in the reservoirs. The finiteness of the reservoirs makes a macroscopic current emerge, which decreases exponentially in time, and asymptotically drives the many-particle configuration into an equilibrium state where the particle flow ceases. We analytically derive the time scale of this equilibration process, and, furthermore, investigate the imprint of many-particle interferences on the transport process.

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Giulio Amato, Heinz-Peter Breuer, Sandro Wimberger, Alberto Rodríguez, Andreas Buchleitner. 2020-02-05. Non-interacting many-particle quantum transport between finite reservoirs. https://doi.org/10.1103/physreva.102.022207

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