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Journal of Mathematical Physics : The effect of classical noise on a quantum two-level system

By Jean-Philippe Aguilar and Nils Berglund

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Book Id: WPLBN0002169532
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 3 October 2008

Title: Journal of Mathematical Physics : The effect of classical noise on a quantum two-level system  
Author: Jean-Philippe Aguilar and Nils Berglund
Volume: Issue : October 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Journal of Mathematical Physics Collection
Historic
Publication Date:
2008
Publisher: American Institute of Physics

Citation

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And Nils Berglund, J. A. (2008). Journal of Mathematical Physics : The effect of classical noise on a quantum two-level system. Retrieved from http://worldlibrary.in/


Description
Description: We consider a quantum two-level system perturbed by classical noise. The noise is implemented as a stationary diffusion process in the off-diagonal matrix elements of the Hamiltonian, representing a transverse magnetic field. We determine the invariant measure of the system and prove its uniqueness. In the case of Ornstein–Uhlenbeck noise, we determine the speed of convergence to the invariant measure. Finally, we determine an approximate one-dimensional diffusion equation for the transition probabilities. The proofs use both spectral-theoretic and probabilistic methods.

 

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