Yang-Lee edge singularity triggered entanglement transition
Shao-Kai Jian, Zhi-Cheng Yang, Zhen Bi, Xiao Chen
Abstract
The authors demonstrate a mechanism whereby the Yang-Lee edge singularity in certain $P\phantom{\rule{0}{0ex}}T$-symmetric non-Hermitian Hamiltonians can trigger a first-order entanglement transition. At the transition, the entanglement entropy of the steady state jumps discontinuously from a volume-law to an area-law scaling. Physically, such non-Hermitian Hamiltonian evolutions arise when post-selecting a particular quantum trajectory of a system subject to continuous weak measurements.
Topics & Concepts
Quantum entanglementSingularityPhysicsQuantum mechanicsHamiltonian (control theory)QuantumSingularity theoryEntropy (arrow of time)Quantum systemHamiltonian systemClassical mechanicsQuantum discordAmplitude damping channelQuantum decoherenceStatistical physicsGravitational singularityMathematicsEnhanced Data Rates for GSM EvolutionState (computer science)Kinetic energyOpen quantum systemTrajectoryTime evolutionQuantum Mechanics and Non-Hermitian PhysicsQuantum many-body systemsBlack Holes and Theoretical Physics