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Lattice Lindblad simulation

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arxiv 2111.04937 v1 pith:73NV2XOY submitted 2021-11-09 hep-lat hep-phhep-thquant-ph

classification hep-lathep-phhep-thquant-ph
keywords simulationlatticelindbladreal-timesystemalthoughanalyzecases
verification ladder T0 review T1 audit T2 compute T3 formal

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We perform the real-time lattice simulation of an open quantum system, which is based on the Schwinger-Keldysh path integral representation of the Lindblad formalism. Although the real-time simulation generally suffers from the sign problem, there exist a few exceptional cases. We focus on a sign-problem-free system of a non-relativistic spinless fermion and analyze time evolution under driving and dissipation.

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