Sinha, Sudarson Sekhar ; Ghosh, Arnab ; Ray, Deb Shankar (2011) Quantum Smoluchowski equation for a spin bath Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 84 (3). 031118_1-031118_7. ISSN 1539-3755
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Official URL: http://pre.aps.org/abstract/PRE/v84/i3/e031118
Related URL: http://dx.doi.org/10.1103/PhysRevE.84.031118
Abstract
We derive the quantum mechanical description of overdamped Brownian motion of a particle in a spin bath of two-level atoms. The resulting Smoluchowski equation is used to calculate the rate of escape of the particle from a metastable state. At 0 K the decay rate is finite. We show that while quantization enhances the decay rate, higher temperatures induce thermal saturation, resulting in effective a reduction of the system-bath coupling. The role of coherence is examined.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to The American Physical Society. |
| ID Code: | 69931 |
| Deposited On: | 12 Nov 2011 11:41 |
| Last Modified: | 12 Nov 2011 11:41 |
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