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Seminar of the LHEP (MIPT) theory group
April 19, 2023 14:00–16:00, Dolgoprudny, MIPT, Laboratory building, room 403
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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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O. Lychkovskiy, SciPost Phys., 10 (2021), 124, arXiv: 2012.00388
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O. Gamayun, O. Lychkovskiy, SciPost Phys., 12 (2022), 175, arXiv: 2110.13123
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A. Teretenkov, O. Lychkovskiy, arXiv: 2304.03155
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