Two coupled nonlinear cavities in a driven-dissipative environment

摘要

We investigate two coupled nonlinear cavities that are coherently driven in adissipative environment. We perform semiclassical, numerical and analyticalquantum studies of this dimer model when both cavities are symmetricallydriven. In the semiclassical analysis, we find steady-state solutions withdifferent photon occupations in two cavities. Such states can be consideredanalogs of the closed system double well symmetry breaking states. We analyzethe occurrence and properties of these localized states in the system parameterspace and examine how the symmetry breaking states, in form of a bistable pair,are associated to the single cavity bistable behavior. In a full quantumcalculation of the master equation dynamics that includes quantum fluctuations,the symmetry breaking states and bistability disappear due to the quantumfluctuations. In quantum trajectory picture, we observe enhanced quantum jumpsand switching which indicate the presence of the underlying semiclassicalsymmetry breaking states. Finally, we present a set of analytical solutions forthe steady state correlation functions using the complex P-representation anddiscuss its regime of validity.