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Constructing tensor network influence functionals for general quantum dynamics

Ye, Erika and Chan, Garnet Kin-Lic (2021) Constructing tensor network influence functionals for general quantum dynamics. Journal of Chemical Physics, 155 (4). Art. No. 044104. ISSN 0021-9606. doi:10.1063/5.0047260. https://resolver.caltech.edu/CaltechAUTHORS:20210316-101643523

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Abstract

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1063/5.0047260DOIArticle
https://arxiv.org/abs/2101.05466arXivDiscussion Paper
ORCID:
AuthorORCID
Ye, Erika0000-0001-9694-568X
Chan, Garnet Kin-Lic0000-0001-8009-6038
Additional Information:© 2021 Published under an exclusive license by AIP Publishing. Submitted: 11 February 2021; Accepted: 6 July 2021; Published Online: 26 July 2021. G.K.C. was supported by the Center for Molecular Magnetic Quantum Materials, an Energy Frontier Research Center funded by the U.S. Department of Energy, Office of Science, Basic Energy Sciences under Award No. DE-SC0019330. E.Y. was primarily supported by the Google PhD fellowship program with supplemental salary support from the Center for Molecular Magnetic Quantum Materials. Support for industrial mentorship for E.Y. was provided via the QISE-NET program, funded via NSF Award No. DMR-1747426.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0019330
Google PhD FellowshipUNSPECIFIED
NSFDMR-1747426
Issue or Number:4
DOI:10.1063/5.0047260
Record Number:CaltechAUTHORS:20210316-101643523
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210316-101643523
Official Citation:Constructing tensor network influence functionals for general quantum dynamics. J. Chem. Phys. 155, 044104 (2021); doi: 10.1063/5.0047260
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108450
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 Mar 2021 00:42
Last Modified:02 Aug 2021 16:26

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