论文标题

有限储层之间的非相互作用多粒子量子传输

Non-interacting many-particle quantum transport between finite reservoirs

论文作者

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

论文摘要

我们提出了一种形式主义,以研究各个晶格的多粒子量子转运,这些晶格与两个有限的,非平稳的(玻感或费米子)储层相连,它们均处于热状态。我们表明,对于保守的总颗粒数,非线性量子量子式主方程的系统描述了晶格和储层中的同时多粒子时间演变。储层的有限性使宏观的电流出现,该电流的时间为指数,并渐近地将许多粒子构型驱动到粒子流停止的平衡状态。我们通过分析得出此平衡过程的时间尺度,此外,研究许多粒子干扰在运输过程中的烙印。

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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