Entanglement phase transitions in non-Hermitian Kitaev chains
arXiv:2402.03001 · doi:10.3390/e26030272
Abstract
The intricate interplay between unitary evolution and projective measurements could induce entanglement phase transitions in the nonequilibrium dynamics of quantum many-particle systems. In this work, we uncover loss-induced entanglement transitions in non-Hermitian topological superconductors. In prototypical Kitaev chains with local particle losses and varying hopping and pairing ranges, the bipartite entanglement entropy of steady states is found to scale logarithmically versus the system size in topologically nontrivial phases and become independent of the system size in the trivial phase. Notably, the scaling coefficients of log-law entangled phases are distinguishable when the underlying system resides in different topological phases. Log-law to log-law and log-law to area-law entanglement phase transitions are further identified when the system switches between different topological phases and goes from a topologically nontrivial to a trivial phase, respectively. These findings not only establish the relationships among spectral, topological and entanglement properties in a class of non-Hermitian topological superconductors, but also provide an efficient means to dynamically reveal their distinctive topological features.
28 pages, 8 figures, close to the published version
References in corpus (59)
- Unpaired Majorana fermions in quantum wires
- Entanglement Entropy and Quantum Field Theory
- Geometric and Renormalized Entropy in Conformal Field Theory
- Entanglement entropy and conformal field theory
- Reduced density matrices and entanglement entropy in free lattice models
- Quantum Zeno Effect and the Many-body Entanglement Transition
- Measurement-driven entanglement transition in hybrid quantum circuits
- Theory of the phase transition in random unitary circuits with measurements
- Measurement-induced criticality in random quantum circuits
- Random Quantum Circuits
- Unitary-projective entanglement dynamics
- Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
- Critical properties of the measurement-induced transition in random quantum circuits
- Entanglement transition in a monitored free fermion chain -- from extended criticality to area law
- Entanglement in a fermion chain under continuous monitoring
- Measurement-Induced Entanglement Transitions in the Quantum Ising Chain: From Infinite to Zero Clicks
- Entanglement transition from variable-strength weak measurements
- Observation of measurement-induced quantum phases in a trapped-ion quantum computer
- Measurement-induced topological entanglement transitions in symmetric random quantum circuits
- Entanglement Transitions from Holographic Random Tensor Networks
- Measurement and entanglement phase transitions in all-to-all quantum circuits, on quantum trees, and in Landau-Ginsburg theory
- Measurement-induced quantum criticality under continuous monitoring
- Measurement-induced entanglement and teleportation on a noisy quantum processor
- Measurement-induced phase transition: A case study in the non-integrable model by density-matrix renormalization group calculations
- Experimental Realization of a Measurement-Induced Entanglement Phase Transition on a Superconducting Quantum Processor
- Parity-time-symmetric topological superconductor
- Measurement-induced dark state phase transitions in long-ranged fermion systems
- Entanglement Transitions from Stochastic Resetting of Non-Hermitian Quasiparticles
- Entanglement and purification transitions in non-Hermitian quantum mechanics
- SYK meets non-Hermiticity II: measurement-induced phase transition
- Topological Phase Transition driven by Infinitesimal Instability: Majorana Fermions in Non-Hermitian Spintronics
- Measurement-induced dynamics of many-body systems at quantum criticality
- Measurement-induced transitions of the entanglement scaling law in ultracold gases with controllable dissipation
- Measurement-induced criticality and entanglement clusters: a study of 1D and 2D Clifford circuits
- Measurement-induced phase transitions in -dimensional stabilizer circuits
- Volume-to-Area Law Entanglement Transition in a non-Hermitian Free Fermionic Chain
- Topological transitions with continuously monitored free fermions
- Measurement-induced phase transitions in quantum automaton circuits
- Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes
- Measurement-induced phase transition for free fermions above one dimension
- Entanglement transitions with free fermions
- Dynamical signatures of topological order in the driven-dissipative Kitaev chain
- Non-Hermitian Floquet Topological Matter -- A Review
- Universal Entanglement Transitions of Free Fermions with Long-range Non-unitary Dynamics
- Non-Hermitian topological phases and dynamical quantum phase transitions: A generic connection
- Dynamic winding number for exploring band topology
- Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains
- Entangled multiplets and unusual spreading of quantum correlations in a continuously monitored tight-binding chain
- Non-Hermitian Majorana modes protect degenerate steady states
- Volume-law to area-law entanglement transition in a non-unitary periodic Gaussian circuit
- Dynamics of entanglement after exceptional quantum quench
- Measurement-induced phase transition in a classical, chaotic many-body system
- Entanglement phase transitions in non-Hermitian quasicrystals
- Measurement induced transitions in non-Markovian free fermion ladders
- Absence of logarithmic and algebraic scaling entanglement phases due to skin effect
- Entanglement phase transition due to reciprocity breaking without measurement or post-selection
- Entanglement Transitions in Unitary Circuit Games
- Correlation-induced phase transitions and mobility edges in an interacting non-Hermitian quasicrystal
- Measurement Induced Chirality II: Diffusion and Disorder