Quantum diffusion in a fermionic bath

Sinha, Sudarson Sekhar ; Mondal, Debasish ; Bag, Bidhan Chandra ; Ray, Deb Shankar (2010) Quantum diffusion in a fermionic bath Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 82 (5). 051125_1-051125_10. ISSN 1539-3755

Full text not available from this repository.

Official URL: http://pre.aps.org/abstract/PRE/v82/i5/e051125

Related URL: http://dx.doi.org/10.1103/PhysRevE.82.051125


We propose a scheme for quantum Brownian motion of a particle in a fermionic bath. Based on the spin coherent-state representation of the noise operators and a canonical thermal distribution of the associated c numbers, we derive a quantum analog of generalized Langevin equation for quantum-mechanical mean position of the particle subjected to an external force field. The approach allows us to map the quantum problem on a classical setting. The quantum dispersion around the mean can be estimated order by order by a set of quantum correction equations up to a desired degree of accuracy for a given nonlinear potential. We derive a quantum diffusion equation for free particle and show that quantization, in general, enhances the mean-square displacement. Increase in temperature leads to suppression of mean-square displacement. The method is based on canonical quantization procedure and may be used for understanding diffusive transport and thermally activated processes in a fermionic bath.

Item Type:Article
ID Code:59139
Deposited On:03 Sep 2011 12:05
Last Modified:03 Sep 2011 12:05

Repository Staff Only: item control page