Two-time Correlations Probing the Dynamics of Dissipative Many-Body Quantum Systems: Aging and Fast Relaxation

Understand

Two-time correlations are a crucial tool to probe the dynamics of many-body systems.

• We use these correlation functions to study the dynamics of dissipative quantum systems.
• Extending the adiabatic elimination method, we show that the correlations can display two distinct behaviors, depending on the observable of interest: a fast exponential decay, with a timescale of the order of the dissipative coupling, or a much slower dynamics.
• We apply this formalism to bosons in a double well subjected to phase noise.