Zi Cai Universality out of stochastic driving  10/8/2021

Title: Universality out of stochastic driving

Speaker: Zi Cai

Time: October 8 (Friday), 10:00 am

Place: Rm M830, IOP-CAS

Abstract: In this talk, we study the mean-field dynamics of a general class of quantum many-body systems with stochastically fluctuating interactions. Our findings reveal a universal algebraic decay of the order parameter $m(t)\sim t^{-\chi}$ with an exponent $\chi=\frac 13$ that is independent of most system details including the strength of the stochastic driving, the energy spectrum of the undriven systems,  the initial states and even the driving protocols. It is shown that such a dynamical universality class can be understood as a consequence of a diffusive process with a time-dependent diffusion constant which is determined self-consistently during the evolution.  The finite-size effect, as well as the relevance of our results with current experiments in high-finesse cavity QED systems are also discussed.