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- W4311251150 abstract "We study the boundary-dissipated transverse field Ising model described by a Lindblad Master equation and exactly solve its Liouvillian spectrum in the whole parameter space. By mapping the Liouvillian into a Su-Schrieffer-Heeger model with imaginary boundary potentials under a parity constraint, we solve the rapidity spectrum analytically and thus construct the Liouvillian spectrum strictly with a parity constraint condition. Our results demonstrate that the Liouvillian spectrum displays four different structures, which are characterized by different numbers of segments. By analyzing the properties of rapidity spectrum, we can determine the phase boundaries between different spectrum structures analytically and prove the Liouvillian gap fulfilling a duality relation in the weak and strong dissipation region. Furthermore, we unveil the existence of a dynamical duality, i.e., the long-time relaxation dynamics exhibits almost the same dynamical behavior in the weak and strong dissipation region as long as the duality relation holds true." @default.
- W4311251150 created "2022-12-25" @default.
- W4311251150 creator A5006501392 @default.
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- W4311251150 date "2022-12-09" @default.
- W4311251150 modified "2023-09-23" @default.
- W4311251150 title "Exact Solution of boundary-dissipated transverse field Ising model: structure of Liouvillian spectrum and dynamical duality" @default.
- W4311251150 doi "https://doi.org/10.48550/arxiv.2212.04785" @default.
- W4311251150 hasPublicationYear "2022" @default.
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