Martin Wood Complex, Department of Physics, University of Oxford, Parks Road, Oxford, OX1 3PU
Mr Patrik Penc, University of Oxford
Dumitru Calugaru <dumitru.calugaru@physics.ox.ac.uk>
Abstract
Hydrodynamics in Open Quantum Systems
Conservation laws shape the late-time relaxation of quantum many-body systems as described by a hydrodynamic theory. In systems with conserved quantities, operators coupled to the conserved densities can exhibit power-law decay. For example, particle-number conservation can give rise to diffusive dynamics. However, deriving the late-time behaviour directly from microscopic dynamics is generally difficult.
In my talk, I will present a model in which the late-time dynamics of Heisenberg-picture operators can be derived exactly. The model is described by an interacting, particle-number-conserving Lindblad equation with a decoupled BBGKY hierarchy. This structure allows us to diagonalise the quadratic operator sector and identify the eigenoperators that govern the late-time hydrodynamic behaviour.