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- W2940782017 abstract "The recognition that large classes of quantum many-body systems have limited entanglement in the ground and low-lying excited states led to dramatic advances in their numerical simulation via so-called tensor networks. However, global dynamics elevates many particles into excited states, and can lead to macroscopic entanglement and the failure of tensor networks. Here, we show that for quantum transport -- one of the most important cases of this failure -- the fundamental issue is the canonical basis in which the scenario is cast: When particles flow through an interface, they scatter, generating a bit of entanglement between spatial regions with each event. The frequency basis naturally captures that -- in the long-time limit and in the absence of inelastic scattering -- particles tend to flow from a state with one frequency to a state of identical frequency. Recognizing this natural structure yields a striking -- potentially exponential in some cases -- increase in simulation efficiency, greatly extending the attainable spatial- and time-scales, and broadening the scope of tensor network simulation to hitherto inaccessible classes of non-equilibrium many-body problems." @default.
- W2940782017 created "2019-05-03" @default.
- W2940782017 creator A5028259696 @default.
- W2940782017 creator A5051926665 @default.
- W2940782017 date "2020-03-31" @default.
- W2940782017 modified "2023-10-11" @default.
- W2940782017 title "Breaking the Entanglement Barrier: Tensor Network Simulation of Quantum Transport" @default.
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- W2940782017 doi "https://doi.org/10.1103/physrevlett.124.137701" @default.
- W2940782017 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/7654706" @default.
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