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Seminar of the LHEP (MIPT) theory group
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Exact dynamics of open and closed quantum systems via coupled Heisenberg equations O. V. Lychkovskiyab a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow b Skolkovo Institute of Science and Technology |
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Abstract: Dynamics of a quantum system can be described by coupled Heisenberg equations. In generic many-body systems these equations involve an exponentially large hierarchy of operators and are intractable without approximations. However, sometimes these equations can be solved exactly - in certain models and for certain subsets of observables. Exact solutions are also available for quite broad classes of open quantum systems governed by the Lindblad master equation. I will illustrate this by thoroughly working out a simple example of a quantum dissipative XX model. Then I will discuss more complex cases. Finally, prospects and open questions will be outlined. References
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