We present a formalism to study many-particle quantum transport across a lattice locally connected to two finite, nonstationary (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 timescale of this equilibration process, and, furthermore, investigate the imprint of many-particle interferences on the transport process.

Noninteracting many-particle quantum transport between finite reservoirs / Amato, G.; Breuer, H. P.; Wimberger, S.; Rodrigues, A; Buchleitner, A.. - In: PHYSICAL REVIEW A. - ISSN 2469-9926. - 102:2(2020), p. 022207. [10.1103/PhysRevA.102.022207]

Noninteracting many-particle quantum transport between finite reservoirs

S. Wimberger
Funding Acquisition
;
2020

Abstract

We present a formalism to study many-particle quantum transport across a lattice locally connected to two finite, nonstationary (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 timescale of this equilibration process, and, furthermore, investigate the imprint of many-particle interferences on the transport process.
Noninteracting many-particle quantum transport between finite reservoirs / Amato, G.; Breuer, H. P.; Wimberger, S.; Rodrigues, A; Buchleitner, A.. - In: PHYSICAL REVIEW A. - ISSN 2469-9926. - 102:2(2020), p. 022207. [10.1103/PhysRevA.102.022207]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2880041
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