Diverging current fluctuations in critical Kerr resonators
- URL: http://arxiv.org/abs/2205.02622v2
- Date: Mon, 26 Sep 2022 10:57:29 GMT
- Title: Diverging current fluctuations in critical Kerr resonators
- Authors: Michael J. Kewming, Mark T. Mitchison, Gabriel T. Landi
- Abstract summary: We study a driven-dissipative nonlinear cavity with both continuous and discontinuous quantum phase transitions.
Considering both direct photodetection and homodyne detection schemes, we find that the current fluctuations diverge exponentially at the discontinuous phase transition.
Our findings highlight the rich features of current fluctuations near nonequilibrium phase transitions in quantum-optical systems.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The parametrically pumped Kerr model describes a driven-dissipative nonlinear
cavity, whose nonequilibrium phase diagram features both continuous and
discontinuous quantum phase transitions. We consider the consequences of these
critical phenomena for the fluctuations of the photocurrent obtained via
continuous weak measurements on the cavity. Considering both direct
photodetection and homodyne detection schemes, we find that the current
fluctuations diverge exponentially at the discontinuous phase transition.
However, we find strikingly different current fluctuations for these two
detection schemes near the continuous transition, a behaviour which is
explained by the complementary information revealed by measurements in
different bases. To obtain these results, we develop formulas to efficiently
compute the diffusion coefficient -- which characterises the long-time current
fluctuations -- directly from the quantum master equation, thus connecting the
formalisms of full counting statistics and stochastic quantum trajectories. Our
findings highlight the rich features of current fluctuations near
nonequilibrium phase transitions in quantum-optical systems.
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