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- W3140445793 abstract "Entanglement renormalization is a method for coarse-graining a quantum state in real space, with the multi-scale entanglement renormalization ansatz (MERA) as a notable example. We obtain an entanglement renormalization scheme for finite-temperature (Gibbs) states by applying MERA to their canonical purification, the thermofield double state. As an example, we find an analytically exact renormalization circuit for finite temperature two-dimensional toric code which maps it to a coarse-grained system with a renormalized higher temperature, thus explicitly demonstrating its lack of topological order. Furthermore, we apply this scheme to one-dimensional free boson models at a finite temperature and find that the thermofield double corresponding to the critical thermal state is described by a Lifshitz theory. We numerically demonstrate the relevance and irrelevance of various perturbations under real space renormalization." @default.
- W3140445793 created "2021-04-13" @default.
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- W3140445793 date "2021-08-17" @default.
- W3140445793 modified "2023-09-23" @default.
- W3140445793 title "Entanglement Renormalization of Thermofield Double States" @default.
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- W3140445793 doi "https://doi.org/10.1103/physrevlett.127.080602" @default.
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