Entanglement phase transition due to reciprocity breaking without measurement or post-selection

Abstract

Despite its fully unitary dynamics, the bosonic Kitaev chain (BKC) displays key hallmarks of non-Hermitian physics including non-reciprocal transport and the non-Hermitian skin effect. Here we demonstrate another remarkable phenomena: the existence of an entanglement phase transition (EPT) in a variant of the BKC that occurs as a function of a Hamiltonian parameter g, and which coincides with a transition from a reciprocal to a non-reciprocal phase. As g is reduced below a critical value, the post-quench entanglement entropy of a subsystem of size l goes from a volume-law phase where it scales as l to a super-volume law phase where it scales like lN with N the total system size. This EPT occurs for a system undergoing purely unitary evolution and does not involve measurements, post-selection, disorder or dissipation. We derive analytically the entanglement entropy out of and at the critical point for the $l=1$ and $l/N\ll 1$ case.

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• Entanglement Dynamics in Monitored Systems and the Role of Quantum Jumps
• Measurement-induced phase transition in a single-body tight-binding model
• Quantum entanglement and non-Hermiticity in free-fermion systems
• The Interplay of Finite and Infinite Size Stability in Quadratic Bosonic Lindbladians
• Measurement-Induced Entanglement Phase Transition in Free Fermion Systems
• Measurement-induced phase transition in free bosons
• Entanglement phase transitions in non-Hermitian Kitaev chains
• Entanglement Spectrum Dynamics as a Probe for Non-Hermitian Bulk-Boundary Correspondence in Systems with Periodic Boundaries
• Topologically protected negative entanglement
• Entanglement phases and phase transitions in monitored free fermion system due to localizations
• Symmetry and Topology of Monitored Quantum Dynamics
• CDJ-Pontryagin Optimal Control for General Continuously Monitored Quantum Systems
• Entanglement dynamics in minimal Kitaev chains
• Dissipative Generation of Currents by Nonreciprocal Local and Global Environments