Constructing Integrable Lindblad Superoperators.

Phys Rev Lett

Department of Theoretical Physics & MTA-ELTE "Momentum" Integrable Quantum Dynamics Research Group, Eötvös Loránd University, Budapest, Hungary.

Published: June 2021

AI Article Synopsis

  • A new method is introduced for creating one-dimensional integrable Lindblad systems, which are crucial for understanding quantum many-body models interacting with a Markovian environment.
  • Several innovative models are discovered, highlighting unique behaviors like annihilation-diffusion processes and a combination of coherent and classical movement of particles.
  • The method also allows for new representations of classical integrable stochastic equations through integrable Lindblad operators, paving the way for broader applications in solvable open quantum systems.

Article Abstract

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.

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http://dx.doi.org/10.1103/PhysRevLett.126.240403DOI Listing

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