Quantum Critical Regime in a Quadratically Driven Nonlinear Photonic Lattice

We study an array of coupled optical cavities in the presence of two-photon driving and dissipation. The system displays a critical behavior similar to that of a quantum Ising model at finite temperature. Using the corner-space renormalization method, we compute the steady-state properties of finite lattices of varying size, both in one and two dimensions. From a finite-size scaling of the average of the photon number parity, we highlight the emergence of a critical point in regimes of small dissipations, belonging to the quantum Ising universality class. For increasing photon loss rates, a departure from this universal behavior signals the onset of a quantum critical regime, where classical fluctuations induced by losses compete with long-range quantum correlations.


Published in:
Physical Review Letters, 122, 11, 110405
Year:
Mar 21 2019
Publisher:
College Pk, AMER PHYSICAL SOC
ISSN:
0031-9007
1079-7114
Keywords:
Laboratories:




 Record created 2019-06-18, last modified 2019-06-26


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