Nonequilibrium density-matrix description of steady-state quantum transport

Dhar, Abhishek ; Saito, Keiji ; Hänggi, Peter (2012) Nonequilibrium density-matrix description of steady-state quantum transport Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 85 (1). 011126_1-011126_11. ISSN 1539-3755

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With this work we investigate the stationary nonequilibrium density matrix of current carrying nonequilibrium steady states of in-between quantum systems that are connected to reservoirs. We describe the analytical procedure to obtain the explicit result for the reduced density matrix of quantum transport when the system, the connecting reservoirs, and the system-reservoir interactions are described by quadratic Hamiltonians. Our procedure is detailed for both electronic transport described by the tight-binding Hamiltonian and for phonon transport described by harmonic Hamiltonians. For the special case of weak system-reservoir couplings, a more detailed description of the steady-state density matrix is obtained. Several paradigm transport setups for interelectrode electron transport and low-dimensional phonon heat flux are elucidated.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:94402
Deposited On:15 Nov 2012 06:01
Last Modified:15 Nov 2012 06:01

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