Title:	Nonequilibrium density-matrix description of steady-state quantum transport
Authors:	Dhar, Abhishek Saito, Keiji Hanggi, Peter
Issue Date:	Jan-2012
Publisher:	American Physical Society
Citation:	Physical Review E, 2012, Vol.85, p011126
Abstract:	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.
Description:	Open Access
URI:	http://hdl.handle.net/2289/4429
ISSN:	1539-3755 1550-2376 (Online)
Alternative Location:	http://arxiv.org/abs/1106.3207 http://dx.doi.org/10.1103/PhysRevE.85.011126
Copyright:	2012 American Physical Society
Appears in Collections:	Research Papers (TP)

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