Non-interacting many-particle quantum transport between finite reservoirs

• URL: http://arxiv.org/abs/2002.01838v2
• Date: Tue, 23 Jun 2020 17:33:46 GMT
• Title: Non-interacting many-particle quantum transport between finite reservoirs
• Authors: Giulio Amato, Heinz-Peter Breuer, Sandro Wimberger, Alberto Rodr\'iguez and Andreas Buchleitner
• Abstract summary: We study many-particle quantum transport across a lattice locally connected to two finite, non-stationary (bosonic or fermionic) reservoirs. We analytically derive the time scale of this equilibration process, and, furthermore, investigate the imprint of many-particle interferences on the transport process.
• Score: 5.570257942336495
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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