Sciolla Bruno, Poletti Dario, Kollath Corinna
University of Bonn, HISKP, Nussallee 14-16, 53115 Bonn, Germany.
Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372 Singapore.
Phys Rev Lett. 2015 May 1;114(17):170401. doi: 10.1103/PhysRevLett.114.170401. Epub 2015 Apr 30.
We use two-time correlation functions to study the complex dynamics of dissipative many-body quantum systems. In order to measure, understand, and categorize these correlations we extend the framework of the adiabatic elimination method. We show that, for the same parameters and times, two-time correlations can display two distinct behaviors depending on the observable considered: a fast exponential decay or a much slower dynamics. We exemplify these findings by studying strongly interacting bosons in a double well subjected to phase noise. While the single-particle correlations decay exponentially fast with time, the density-density correlations display slow aging dynamics. We also show that this slow relaxation regime is robust against particle losses. Additionally, we use the developed framework to show that the dynamic properties of dissipatively engineered states can be drastically different from their Hamiltonian counterparts.
