Density matrix renormalization group for continuous quantum systems

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Dutta, Shovan and Buyskikh, Anton and Daley, Andrew J. and Mueller, Erich J. (2022) Density matrix renormalization group for continuous quantum systems. Physical Review Letters, 128 (23). 230401. ISSN 1079-7114 (https://doi.org/10.1103/PhysRevLett.128.230401)

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Abstract

We introduce a versatile and practical framework for applying matrix product state techniques to continuous quantum systems. We divide space into multiple segments and generate continuous basis functions for the many-body state in each segment. By combining this mapping with existing numerical density matrix renormalization group routines, we show how one can accurately obtain the ground-state wave function, spatial correlations, and spatial entanglement entropy directly in the continuum. For a prototypical mesoscopic system of strongly interacting bosons we demonstrate faster convergence than standard grid-based discretization. We illustrate the power of our approach by studying a superfluid-insulator transition in an external potential. We outline how one can directly apply or generalize this technique to a wide variety of experimentally relevant problems across condensed matter physics and quantum field theory.

ORCID iDs

Dutta, Shovan, Buyskikh, Anton ORCID logoORCID: https://orcid.org/0000-0003-4542-7086, Daley, Andrew J. ORCID logoORCID: https://orcid.org/0000-0001-9005-7761 and Mueller, Erich J.;
  • Item type:Article
    ID code:81561
    Dates:
    Date
    Event
    8 June 2022
    Published
    6 May 2022
    Accepted
    20 August 2021
    Submitted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:25 Jul 2022 13:22
    Last modified:11 Nov 2024 13:33
    URI:https://strathprints.strath.ac.uk/id/eprint/81561
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