Linear response and exact hydrodynamic projections in Lindblad equations with decoupled Bogoliubov hierarchies
Abstract
We consider a class of spinless-fermion Lindblad equations that exhibit decoupled BBGKY hierarchies. In the cases where particle number is conserved, their late time behaviour is characterized by diffusive dynamics, leading to an infinite temperature steady state. Some of these models are Yang-Baxter integrable, others are not. The simple structure of the BBGKY hierarchy makes it possible to map the dynamics of Heisenberg-picture operators on few-body imaginary-time Schrödinger equations with non-Hermitian Hamiltonians. We use this formulation to obtain exact hydrodynamic projections of operators quadratic in fermions, and to determine linear response functions in Lindbladian non-equilibrium dynamics.
Fields of Study & Subjects
Quantum many-body systems
Quantum Mechanics and Non-Hermitian Physics
Algebraic structures and combinatorial models
Publication details
- Journal / source
- SciPost Physics
- Publisher
- Stichting SciPost
- Volume
- 20
- Issue
- 2
- Publication date
- 25 February 2026
- Language
- EN