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Dynamical Critical Exponents in Driven-Dissipative Quantum Systems.

P Comaron1, G Dagvadorj2,3, A Zamora2

  • 1Joint Quantum Centre (JQC) Durham-Newcastle, School of Mathematics, Statistics and Physics, Newcastle University, Newcastle upon Tyne, NE1 7RU, United Kingdom.

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Summary
This summary is machine-generated.

We investigated phase ordering in driven microcavity polaritons, finding they follow dynamical scaling laws. Topological defects significantly influence dynamics, causing logarithmic corrections to vortex decay and length scale growth.

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Area of Science:

  • Quantum optics
  • Condensed matter physics
  • Non-equilibrium dynamics

Background:

  • Microcavity polaritons are quasiparticles formed from exciton-photon coupling.
  • Driven-dissipative systems exhibit unique non-equilibrium phenomena.
  • Phase ordering describes how systems with broken symmetries evolve over time.

Purpose of the Study:

  • To investigate the phase ordering dynamics of driven-dissipative microcavity polaritons.
  • To determine if these systems adhere to the dynamical scaling hypothesis.
  • To analyze the role of topological defects in the ordering process.

Main Methods:

  • Parametric and incoherent driving of microcavity polaritons.
  • Rapid quench across the critical region.
  • Analysis of the two-point correlator at late times.
  • Characterization of topological defects (vortices).

Main Results:

  • The system satisfies the dynamical scaling hypothesis for both driving schemes.
  • Self-similar patterns were observed in the two-point correlator.
  • The dynamical critical exponent was found to be z≈2.
  • Topological defects introduce logarithmic corrections to vortex decay and length scale growth.

Conclusions:

  • Driven-dissipative microcavity polaritons exhibit universal phase ordering behavior.
  • Dynamical scaling is a valid description for these non-equilibrium systems.
  • Topological defects are crucial for understanding the long-time dynamics and scaling properties.