Yang-Baxter integrable Lindblad equations
Aleksandra A. Ziolkowska, Fabian Essler
Abstract
We consider Lindblad equations for one dimensional fermionic models and quantum spin chains. By employing a (graded) super-operator formalism we identify a number of Lindblad equations than can be mapped onto non-Hermitian interacting Yang-Baxter integrable models. Employing Bethe Ansatz techniques we show that the late-time dynamics of some of these models is diffusive.
Topics & Concepts
Integrable systemFormalism (music)Bethe ansatzPhysicsMathematical physicsQuantumLindblad equationAnsatzMaster equationQuantum systemQuantum mechanicsDynamics (music)Quantum dynamicsClassical mechanicsMathematicsWork (physics)Quantum statistical mechanicsHeisenberg pictureStatistical physicsAlgebraic structures and combinatorial modelsQuantum many-body systemsAdvanced Topics in Algebra