Hybrid infinite time-evolving block decimation algorithm for long-range multidimensional quantum many-body systems

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Hashizume, Tomohiro and Halimeh, Jad C. and McCulloch, Ian P. (2020) Hybrid infinite time-evolving block decimation algorithm for long-range multidimensional quantum many-body systems. Physical Review B, 102 (3). 035115. ISSN 2469-9950 (https://doi.org/10.1103/PhysRevB.102.035115)

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Abstract

In recent years, the infinite time-evolving block decimation (iTEBD) method has been demonstrated to be one of the most efficient and powerful numerical schemes for time evolution in one-dimensional quantum many-body systems. However, a major shortcoming of the method, along with other state-of-the-art algorithms for many-body dynamics, has been their restriction to one spatial dimension. We present an algorithm based on a hybrid extension of iTEBD where finite blocks of a chain are first locally time evolved before an iTEBD-like method combines these processes globally. This in turn permits simulating the dynamics of many-body systems in spatial dimensions d≥1 where the thermodynamic limit is achieved along one spatial dimension and where long-range interactions can also be included. Our work paves the way for simulating the dynamics of many-body phenomena that occur exclusively in higher dimensions and whose numerical treatments have hitherto been limited to exact diagonalization of small systems, which fundamentally limits a proper investigation of dynamical criticality. We expect the algorithm presented here to be of significant importance to validating and guiding investigations in state-of-the-art ion-trap and ultracold-atom experiments.

  • Item type:Article
    ID code:74201
    Dates:
    Date
    Event
    15 July 2020
    Published
    7 July 2020
    Published Online
    22 June 2020
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:09 Oct 2020 15:15
    Last modified:27 Nov 2024 11:18
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/74201
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