Temperature-induced stochastic resonance in time-modulated Kerr non-linear photonic cavities

M. I. Dykman, A. L. Velikovich, G. P. Golubev +2 more

Bertrand Braeckeveldt, Björn Maes

Driven nonlinear photonic cavities are widely studied because they exhibit many interesting effects, such as nonreciprocity, thermal effects, and frequency conversion. Specifically, adding noise to a modulated nonlinear system can lead to stochastic resonance (SR), which corresponds to periodic transitions between stable states. In this work, we study the outgoing power and spectra from a nonlinear-driven photonic cavity coupled to an external port. Using a Langevin framework, we show that the system temperature induces SR in the bistable regime, which we study in detail to exploit for enhanced frequency shift. In this way, the thermal fluctuations of the system itself can function as a driver for effective sideband generation, enabling shift efficiencies of up to 40%. We extensively explore various regimes in order to understand and maximize the process.

Stepan N. Balybin, Roman V. Zakharov, Olga V. Tikhonova

Abstract Influence of the self-phase modulation of quantum light on the induced resonant excitation of a semiconductor quantum dot is studied analytically in the case of the Kerr-nonlinearity of the medium. The phase nonlinearity is found to result actually in a resonance detuning specific for each field photon number state. This effect is shown to provide significant decrease of the excitation efficiency accompanied at the same time by more regular excitation dynamics obtained even for initial squeezed vacuum field state. The enhancement of entanglement between semiconductor and field subsystems with growing non-linearity is demonstrated. As a result, the formation of different types of non-Gaussian field states is found with features being analyzed in details.

Zheng-Chun Li, Bixuan Fan, Lu Zhou +1 more

Virginie Lousse, Jean Pol Vigneron

JungYun Han, Daniel Leykam, Dimitris G. Angelakis +1 more

We explore nonequilibrium quantum heat transport in nonlinear bosonic systems in the presence of a non-Kerr-type interaction governed by hyperparametric oscillation due to two-photon hopping between the two cavities. We estimate the thermodynamic response analytically by constructing the su(2) algebra of the nonlinear Hamiltonian and predict that the system exhibits a negative excitation mode. Consequently, this specific form of interaction enables the cooling of the system by inducing a ground-state transition when the number of particles increases, even though the interaction strength is small. We demonstrate a transition of the heat current numerically in the presence of symmetric coupling between the system and the bath and show long relaxation times in the cooling phase. We compare with the Kerr-type Bose-Hubbard form of interaction induced via cross-phase modulation, which does not exhibit any such transition. We further compute the nonequilibrium heat current in the presence of two baths at different temperatures and observe that the cooling effect for the non-Kerr-type interaction persists. Our findings may help in the manipulation of quantum states using the system's interactions to induce cooling.