ArticlePhysical review letters2021
Entanglement and Purification Transitions in Non-Hermitian Quantum Mechanics.
Article in Physical review letters, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- Beyond the Non-Hermitian Skin Effect: Scaling-Controlled Topology from Exceptional-Bound Bands.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- Gain engineering and atom lasing in a topological edge state in synthetic dimensions.Nature communications · 2025Article
- Observation of a non-Hermitian supersonic mode on a trapped-ion quantum computer.Nature communications · 2025Article
- Article
- Dispersive nonreciprocity between a qubit and a cavity.Science advances · 2024Article
- Entanglement Phase Transitions in Non-Hermitian Kitaev Chains.Entropy (Basel, Switzerland) · 2024Article
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Authors and funding
2 authors.
Funding
Abstract
A quantum system subject to continuous measurement and postselection evolves according to a non-Hermitian Hamiltonian. We show that, as one increases the strength of postselection, this non-Hermitian Hamiltonian can undergo a spectral phase transition. On one side of this phase transition (for weak postselection), an initially mixed density matrix remains mixed at all times, and an initially unentangled state develops volume-law entanglement; on the other side, an arbitrary initial state approaches a unique pure state with low entanglement. We identify this transition with an exceptional point in the spectrum of the non-Hermitian Hamiltonian, at which PT symmetry is spontaneously broken. We characterize the transition as well as the nontrivial steady state that emerges at late times in the mixed phase using exact diagonalization and an approximate, analytically tractable mean-field theory; these methods yield consistent conclusions.
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