Universal entanglement of mid-spectrum eigenstates of chaotic local Hamiltonians
Yichen Huang
Abstract
In systems governed by chaotic local Hamiltonians, my previous work [7] conjectured the universality of the average entanglement entropy of all eigenstates by proposing an exact formula for its dependence on the subsystem size. In this note, I extend this result to the average entanglement entropy of a constant fraction of eigenstates in the middle of the energy spectrum. The generalized formula is supported by numerical simulations of various chaotic spin chains.
Topics & Concepts
Quantum entanglementEigenvalues and eigenvectorsChaoticUniversality (dynamical systems)Entropy (arrow of time)Statistical physicsPhysicsEnergy spectrumQuantum mechanicsSpectrum (functional analysis)MathematicsMathematical physicsQuantumComputer scienceArtificial intelligenceQuantum many-body systemsNeural Networks and Reservoir ComputingQuantum Computing Algorithms and Architecture