Reconstructing the relaxation dynamics induced by an unknown heat bath |
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Authors: | Jochen Rau |
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Affiliation: | Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Max-von-Laue-Str. 1, 60438 Frankfurt am Main, Germany |
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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. |
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Keywords: | Quantum state tomography Heat bath Relaxation dynamics Maximum likelihood |
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