Dissipative Bethe Ansatz: Exact Solutions of Quantum Many-Body Dynamics Under Loss

Understand

We use the Bethe Ansatz technique to study dissipative systems experiencing loss.

• The method allows us to exactly calculate the Liouvillian spectrum.
• This opens the possibility of analytically calculating the dynamics of a wide range of experimentally relevant models including cold atoms subjected to one and two body losses, coupled cavity arrays with bosons escaping the cavity, and cavity quantum electrodynamics.
• As an example of our approach we study the relaxation properties in a boundary driven XXZ spin chain.