Constructing Integrable Lindblad Superoperators

Understand

We develop a new method for the construction of one-dimensional integrable Lindblad systems, which describe quantum many body models in contact with a Markovian environment.

• We find several new models with interesting features, such as annihilation-diffusion processes, a mixture of coherent and classical particle propagation, and a rectified steady state current.
• We also find new ways to represent known classical integrable stochastic equations by integrable Lindblad operators.
• Our method can be extended to various other situations and it establishes a structured approach to the study of solvable open quantum systems.