Photon statistics of a bistable absorber

摘要: We discuss the quantum-statistical properties of a system absorbing atoms in ring cavity under action resonant classical field. At semiclassical level, this exhibits bistable behavior sense that transmitted light ${E}_{T}$ is discontinuous function incident ${E}_{I}$ with hysteresis cycle, which resembles first-order phase transition. Here we specify analogy stressing nonthermodynamic coherently driven system. The quantized field described by Glauber $P$ function, obeys to Fokker-Planck equation. This equation derived from very general master case good quality neglecting derivatives order higher than second. A remarkable feature diffusion coefficient nonlinear intensity. steady-state solution has following features. can be single or double peaked according value ${E}_{I}$. In fact, our like one Brownian particle moving potential presents minimum minima separated barrier, depending on peaks correspond potential. double-peaked case, have different widths. maxima $p$ occur at values ${E}_{T}$, coincide stationary solutions are stable linear stability analysis. These give two-valued vs (hysteresis cycle). On contrary, mean $〈{E}_{T}〉$ continuous single-valued ${E}_{I}$, behaves similarly Maxwell construction transition: jumps low high sharp transition region lies between discontinuity points cycle. However, rule obtain quite equilibrium thermodynamics. mean-square fluctuations always small except where they remarkable. also present an exact expression takes into account all higher-order derivatives, and show approximation for calculating fluctuations. Finally, connections link absorption laser injected signal saturable absorber.