# Detailed Balance of Thermalization dynamics in Rydberg atom quantum simulators. (arXiv:1712.02065v1 [quant-ph])

Dynamics of large complex systems, such as relaxation towards equilibrium in

classical statistical mechanics, often obeys a master equation. The equation

significantly simplifies the complexities but describes essential information

of occupation probabilities. A related fundamental question is the

thermalization, a coherent evolution of an isolated many-body quantum state

into a state that seems to be in thermal equilibrium. It is valuable to find an

effective equation describing this complex dynamics. Here, we experimentally

investigate the question by observing sudden quench dynamics of quantum

Ising-like models implemented in our quantum simulator, defect-free single-atom

tweezers in conjunction with Rydberg atom interaction. We find that saturation

of local observables, a thermalization signature, obeys a master equation

experimentally constructed by time-resolved monitoring the occupation

probabilities of prequench states and imposing the principle of the detailed

balance. Our experiment agrees with theories, and demonstrates the detailed

balance in a thermalization dynamics that does not require coupling to baths or

postulated randomness.