Dynamical Critical Exponents in Driven-Dissipative Quantum Systems
2018
We study the phase ordering of parametrically and incoherently driven microcavity polaritons after an
infinitely rapid quench across the critical region. We confirm that the system, despite its driven-dissipative
nature, satisfies the dynamical scaling hypothesis for both driving schemes by exhibiting self-similar
patterns for the two-point correlator at late times of the phase ordering. We show that polaritons are
characterized by the dynamical critical exponent z ≈ 2 with topological defects playing a fundamental role
in the dynamics, giving logarithmic corrections both to the power-law decay of the number of vortices and
to the associated growth of the characteristic length scale.
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