Symmetry Classification and Universality in Non-Hermitian Many-Body Quantum Chaos by the Sachdev-Ye-Kitaev Model
Antonio M. Garcı́a-Garcı́a, Lucas Sá, J. J. M. Verbaarschot
Abstract
A mathematical analysis classifies variants of the Sachdev-Ye-Kitaev (SYK) model for many-body fermion interactions that do not conserve probability, essential for analyzing the SYK model coupled to an environment.
Topics & Concepts
Hermitian matrixUniversality (dynamical systems)Random matrixPhysicsQuantum chaosObservableQuantumQuantum mechanicsFermionMathematical physicsUnitary stateUnitary matrixStatistical physicsTheoretical physicsQuantum dynamicsEigenvalues and eigenvectorsLawPolitical scienceQuantum chaos and dynamical systemsQuantum many-body systemsQuantum Mechanics and Non-Hermitian Physics