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Exact Solutions for Decoherence Problems

Quantum decoherence problems are usually solved by perturbation theory or numerical computation. There are few examples of interesting exactly solvable models. D. Nghiem, B. Cheng, Q-H. Wang and I have discovered some of these models and have been exploring their properties. We first noticed that models with random noise at predictable intervals were solvable, and have recently extended this to the more interesting case of telegraph noise.

D. Nghiem and R. Joynt, Phys. Rev. A 73, 032333 (2006), (also selected for the April 3, 2006 issue of Virtual Journal of Nanoscale Science & Technology and the April, 2006 issue of Virtual Journal and Quantum Information Science). Qiang-hua Wang, Bin Cheng, and Robert Joynt, quant-phys/0707.3857, submitted to Phys. Rev. A

Exact solution of qubit decoherence models by a transfer matrix method
Exact solution of a model of qubit decoherence due to telegraph noise







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