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Nonequilibrium phase transition in a driven-dissipative quantum antiferromagnet

Physical Review Research, vol. 4

Abstract

A deeper theoretical understanding of driven-dissipative interacting systems and their nonequilibrium phase transitions is essential both to advance our fundamental physics understanding and to harness technological opportunities arising from optically controlled quantum many-body states. This paper provides a numerical study of dynamical phases and the transitions between them in the nonequilibrium steady state of the prototypical two-dimensional Heisenberg antiferromagnet with drive and dissipation. We demonstrate a nonthermal transition that is characterized by a qualitative change in the magnon distribution from subthermal at low drive to a generalized Bose-Einstein form including a nonvanishing condensate fraction at high drive. A finite-size analysis reveals static and dynamical critical scaling at the transition, with a discontinuous slope of the magnon number versus driving field strength and critical slowing down at the transition point. Implications for experiments on quantum materials and polariton condensates are discussed.

Authors 4

  1. Max Planck Society · Center for Free-Electron Laser Science · Max Planck Institute for the Structure and Dynamics of Matter

    Affiliation as printed

    Max Planck Institute for the Structure and Dynamics of Matter, Center for Free Electron Laser Science, Luruper Chaussee 149, 22761 Hamburg, Germany

    Theoretical Description of Pump-Probe Spectroscopies in Solids, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society

  2. Max Planck Society · Jülich Aachen Research Alliance · Center for Free-Electron Laser Science · Max Planck Institute for the Structure and Dynamics of Matter · RWTH Aachen University

    Affiliation as printed

    Institut für Theorie der Statistischen Physik, RWTH Aachen University, 52056 Aachen, Germany

    JARA-Fundamentals of Future Information Technology, 52056 Aachen, Germany

    Max Planck Institute for the Structure and Dynamics of Matter, Center for Free Electron Laser Science, Luruper Chaussee 149, 22761 Hamburg, Germany

    Institut für Theorie der Statistischen Physik, RWTH Aachen University, and JARA-Fundamentals of Future Information Technology

    Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society

  3. Flatiron Institute · Columbia University

    Affiliation as printed

    Center for Computational Quantum Physics, Flatiron Institute, 162 5th Avenue, New York, New York 10010, USA

    Department of Physics, Columbia University, 538 West 120th Street, New York, New York 10027, USA

    Department of Physics, Columbia University

  4. Max Planck Society · Center for Free-Electron Laser Science · Max Planck Institute for the Structure and Dynamics of Matter

    Affiliation as printed

    Max Planck Institute for the Structure and Dynamics of Matter, Center for Free Electron Laser Science, Luruper Chaussee 149, 22761 Hamburg, Germany

    Theoretical Description of Pump-Probe Spectroscopies in Solids, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society

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References 68