Constructing Integrable Lindblad Superoperators

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.

Automated summary

The new method is able to construct one-dimensional integrable Lindblad systems with unique features and represent known classical integrable stochastic equations. This approach can be extended to various situations and establishes a structured method for the study of solvable open quantum systems.