Dissipative Phase Transition

Dissipative Phase Transition

For more than 40 years, optical bistability — the existence of two stable states with different photon numbers for one driving condition —has been reported [1]. Remarkably, the quantum theory of a nonlinear resonator always predicts a unique steady-state [2]. This apparent contradiction arises because quantum fluctuations can induce switching between states (leading to a unique steady-state) over astronomical time scales [3]. While fluctuations forbid the static hysteresis associated with bistability, hysteresis emerges dynamically for finite sweep rates of the driving intensity [4].

 

Recently, we demonstrated the influence of quantum fluctuations on the optical hysteresis of semiconductor microcavities.  The hysteresis area decays following a double power-law on a time scale vastly greater than the photon lifetime. Approaching the thermodynamic limit of high photon densities, the double power-law becomes a single power-law. This algebraic behavior characterizes a dissipative phase transition [5].  These results are promising for exploring critical phenomena in photonic lattices. Therein,  the interplay of photon hopping and interactions is expected to give rise to a rich phenomenology that we would like to explore.

 

 

 

 

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