Entanglement area law for 1D gauge theories and bosonic systems

ORAL

Abstract

In this talk I will introduce the proof of an entanglement area law for a class of 1D quantum systems involving infinite-dimensional local Hilbert spaces. This class of quantum systems include bosonic models and lattice gauge theories in one spatial dimension. Our proof relies on new results concerning the robustness of the ground state and spectral gap to the truncation of Hilbert space, applied within the approximate ground state projector (AGSP) framework. Our result provides theoretical justification for using tensor networks to study the ground state properties of quantum systems with infinite local degrees of freedom.

*This work is partially supported by the Department of Energy under the Quantum System Accelerator (QSA) program (Y.T.) and the Spin Chain Bootstrap under BES (N.B.), by the National Science Foundation under the Quantum Leap Challenge Institute (QLCI) program through grant number OMA-2016245, NSERC Discovery Program (N.W.), Google Inc (N.W.) and by the Simons Foundation (N.A.).

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Publication: https://arxiv.org/abs/2203.16012

Presenters

  • Yu Tong

    • California Institute of Technology

Authors

  • Yu Tong

    • California Institute of Technology

  • Yuan Su

    • Microsoft Quantum
    • Google Research
    • Google

  • Nilin Abrahamsen

    • University of California, Berkeley

  • Nathan Wiebe

    • University of Toronto, Pacific Northwest National Laboratory
    • University of Toronto
    • Pacific Northwest Natl Lab

  • Ning Bao

    • Brookhaven National Laboratory