Non-Hermitian Hamiltonians violate the eigenstate thermalization hypothesis
Giorgio Cipolloni, Jonah Kudler-Flam
Abstract
The eigenstate thermalization hypothesis (ETH) represents a cornerstone in the theoretical understanding of the emergence of thermal behavior in closed quantum systems. Here, the authors investigate to what extent the ETH holds for non-Hermitian Hamiltonians, relevant for open and monitored quantum systems, and come to the surprising conclusion that fluctuations are greatly enhanced, indicating the breakdown of thermalization.
Topics & Concepts
ThermalisationEigenvalues and eigenvectorsHermitian matrixQuantumPhysicsQuantum mechanicsMathematical physicsTheoretical physicsStatistical physicsQuantum many-body systemsQuantum Mechanics and Non-Hermitian PhysicsSpectroscopy and Quantum Chemical Studies