Constructing tensor network influence functionals for general quantum dynamics

Ye, Erika; Chan, Garnet Kin-Lic

doi:10.1063/5.0047260

Title: Constructing tensor network influence functionals for general quantum dynamics

Journal Article · 25 July 2021 · Journal of Chemical Physics

DOI: https://doi.org/10.1063/5.0047260 · OSTI ID:1853072

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California Institute of Technology (CalTech), Pasadena, CA (United States); California Institute of Technology (CalTech), Pasadena, CA (United States)
California Institute of Technology (CalTech), Pasadena, CA (United States)

Here, we describe an iterative formalism to compute influence functionals that describe the general quantum dynamics of a subsystem beyond the assumption of linear coupling to a quadratic bath. We use a space-time tensor network representation of the influence functional and investigate its approximability in terms of its bond dimension and time-like entanglement in the tensor network description. We study two numerical models, the spin-boson model and a model of interacting hard-core bosons in a 1D harmonic trap. We find that the influence functional and the intermediates involved in its construction can be efficiently approximated by low bond dimension tensor networks in certain dynamical regimes, which allows the quantum dynamics to be accurately computed for longer times than with direct time evolution methods. However, as one iteratively integrates out the bath, the correlations in the influence functional can first increase before decreasing, indicating that the final compressibility of the influence functional is achieved via non-trivial cancellation.

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States); Univ. of Florida, Gainesville, FL (United States)

Sponsoring Organization:: Center for Molecular Magnetic Quantum Materials; Google PhD fellowship; National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0019330

OSTI ID:: 1853072

Journal Information:: Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 4 Vol. 155; ISSN 0021-9606

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: Constructing tensor network influence functionals for general quantum dynamics

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