Quantum transport in chains with noisy off-diagonal couplings

Details Quantum transport in chains with noisy off-diagonal couplings Quantum transport in chains with noisy off-diagonal couplings

2005-05-13

arxiv.org/abs/cond-mat/0505346v2

J. Chem. Phys. 123, 244903, 2005

Physics

Condensed Matter

Statistical Mechanics

6 pages, to appear in J. Chem. Phys

Scientific paper

10.1063/1.2148962

We present a model for conductivity and energy diffusion in a linear chain described by a quadratic Hamiltonian with Gaussian noise. We show that when the correlation matrix is diagonal, the noise-averaged Liouville-von Neumann equation governing the time-evolution of the system reduces to the Lindblad equation with Hermitian Lindblad operators. We show that the noise-averaged density matrix for the system expectation values of the energy density and the number density satisfy discrete versions of the heat and diffusion equations. Transport coefficients are given in terms of model Hamiltonian parameters. We discuss conditions on the Hamiltonian under which the noise-averaged expectation value of the total energy remains constant. For chains placed between two heat reservoirs, the gradient of the energy density along the chain is linear.

Affiliated with

Also associated with

No associations

Rating

Quantum transport in chains with noisy off-diagonal couplings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum transport in chains with noisy off-diagonal couplings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum transport in chains with noisy off-diagonal couplings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-650024