Adiabatically driven dissipative many-body quantum spin systems

We explore the evolution of a strongly interacting dissipative quantum Ising spin chain that is driven by a slowly varying time-dependent transverse field. This system possesses an extensive number of instantaneous (adiabatic) stationary states that are coupled through nonadiabatic transitions. We analytically calculate the generator of the ensuing slow dynamics and analyze the creation of coherences through nonadiabatic processes. For a certain choice of the transverse field shape, we show that the system solely undergoes transitions among classical basis states after each pulse. The concatenation of many of such pulses leads to an evolution of the spin chain under a many-body dynamics that features kinetic constraints. Our setting not only allows for a quantitative investigation of adiabatic theorems and nonadiabatic corrections in a many-body scenario. It also directly connects to many-body systems in the focus of current research, such as ensembles of interacting Rydberg atoms that are resonantly excited by a slowly varying laser pulse and subject to dephasing noise.