Quantum dynamics in driven spin systems with neural-network quantum states

ORAL

Abstract

Neural-network quantum states (NQS) provide an effective variational representation of quantum states, which can be used for the study of many-body quantum systems [1]. NQS can be time-propagated using time-dependent variational Monte Carlo (tVMC) [1,2], making it possible to simulate non-equilibrium phenomena. In particular, this approach can be used to compute dynamical properties of two-dimensional spin systems [3], a setting that has proven to be challenging for established numerical techniques. In this talk, we study magnetic excitations in a driven two-dimensional Heisenberg antiferromagnet. Further, we provide benchmarks of time-dependent NQS against results obtained from exact calculations for small systems as well as results obtained using a time-dependent matrix product state (t-MPS) approach.

[1] Carleo and Troyer. Science 355, 602 (2017).
[2] Carleo, Becca, Schiró, Fabrizio. Sci. Rep. 2, 243 (2012).
[3] Fabiani and Mentink. SciPost Phys. 7, 004 (2019).

*We acknowledge support from Flatiron Institute, a division of the Simons Foundation.
M.S. acknowledges funding from the DFG through the Emmy Noether program (SE 2558/2-1).

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Presenters

  • Damian Hofmann

    • Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany

Authors

  • Damian Hofmann

    • Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany

  • Giuseppe Carleo

    • Center for Computational Quantum Physics, Flatiron Institute, New York, NY, USA
    • Flatiron Institute

  • Angel Rubio

    • Theory Department, Max Planck Institute for the Structure and Dynamics of Matter
    • Center for Computational Quantum Physics (CCQ), The Flatiron Institute
    • Max Planck Institute for Structure and Dynamics of Matter
    • Department of Physics, Columbia University, New York, New York 10027, USA
    • Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany
    • Max Planck Institute for the Structure and Dynamics of Matter
    • Structure and Dynamics of Matter, Max Planck Institute
    • Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, 22761 Hamburg, Germany
    • Max Planck Inst Structure & Dynamics of Matter
    • Max Planck Institue for the Structure and Dynamics of Matter
    • Theory, Max Planck Institute for the Structure & Dynamics of Matter

  • Michael Sentef

    • Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany
    • Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, 22761 Hamburg, Germany
    • Max Planck Inst Structure & Dynamics of Matter
    • Max Planck Institute for the Structure and Dynamics of Matter