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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).

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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