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Reconstructing the relaxation dynamics induced by an unknown heat bath

By Jochen Rau

Abstract

In quantum state tomography, one potential source of error is uncontrolled contact of the system with a heat bath whose detailed properties are not known, and whose impact on the system moreover varies between different runs of the experiment. Precisely these variations provide a handle for reconstructing the system's effective relaxation dynamics. I propose a pertinent estimation scheme which is based on a steepest-descent ansatz and maximum likelihood. After reconstructing the relaxation dynamics, the original quantum state of the system can be constrained to a curve in state space.Comment: 8 pages, 1 figure; v3: final version to appear in Phys. Lett.

Topics: Quantum Physics, Condensed Matter - Statistical Mechanics
Year: 2011
DOI identifier: 10.1016/j.physleta.2011.12.007
OAI identifier: oai:arXiv.org:1103.2803
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