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Driven-Dissipative Phase Transition in a Kerr Oscillator: From Semi-Classical PT Symmetry to Quantum Fluctuations.

Publication ,  Journal Article
Zhang, XHH; Baranger, HU
Published in: Physical Review A
March 24, 2021

We study a minimal model that has a driven-dissipative quantum phase transition, namely a Kerr non-linear oscillator subject to driving and dissipation. Using mean-field theory, exact diagonalization, and the Keldysh formalism, we analyze the critical phenomena in this system, showing which aspects can be captured by each approach and how the approaches complement each other. Then critical scaling and finite-size scaling are calculated analytically using the quantum Langevin equation. The physics contained in this simple model is surprisingly rich: it includes a continuous phase transition, Z2 symmetry breaking, PT symmetry, state squeezing, and critical fluctuations. Due to its simplicity and solvability, this model can serve as a paradigm for exploration of open quantum many-body physics.

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Published In

Physical Review A

DOI

ISSN

1050-2947

Publication Date

March 24, 2021

Volume

103

Start / End Page

033711 / 033711

Publisher

American Physical Society

Related Subject Headings

  • General Physics
  • 03 Chemical Sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Zhang, X. H. H., & Baranger, H. U. (2021). Driven-Dissipative Phase Transition in a Kerr Oscillator: From Semi-Classical PT Symmetry to Quantum Fluctuations. Physical Review A, 103, 033711–033711. https://doi.org/10.1103/PhysRevA.103.033711
Zhang, Xin H. H., and Harold U. Baranger. “Driven-Dissipative Phase Transition in a Kerr Oscillator: From Semi-Classical PT Symmetry to Quantum Fluctuations.Physical Review A 103 (March 24, 2021): 033711–033711. https://doi.org/10.1103/PhysRevA.103.033711.
Zhang XHH, Baranger HU. Driven-Dissipative Phase Transition in a Kerr Oscillator: From Semi-Classical PT Symmetry to Quantum Fluctuations. Physical Review A. 2021 Mar 24;103:033711–033711.
Zhang, Xin H. H., and Harold U. Baranger. “Driven-Dissipative Phase Transition in a Kerr Oscillator: From Semi-Classical PT Symmetry to Quantum Fluctuations.Physical Review A, vol. 103, American Physical Society, Mar. 2021, pp. 033711–033711. Manual, doi:10.1103/PhysRevA.103.033711.
Zhang XHH, Baranger HU. Driven-Dissipative Phase Transition in a Kerr Oscillator: From Semi-Classical PT Symmetry to Quantum Fluctuations. Physical Review A. American Physical Society; 2021 Mar 24;103:033711–033711.

Published In

Physical Review A

DOI

ISSN

1050-2947

Publication Date

March 24, 2021

Volume

103

Start / End Page

033711 / 033711

Publisher

American Physical Society

Related Subject Headings

  • General Physics
  • 03 Chemical Sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences