Dissipative phase transition of interacting non-reciprocal fermions
arXiv:2505.15711 · doi:10.1103/n8xv-kygx
Abstract
While non-reciprocal couplings are ubiquitous in classical systems, their impact on quantum many-body criticality and entanglement remains largely unexplored. Using exact numerical simulations, we study an interacting fermionic chain subject to non-reciprocal gain and loss. We show that the interplay between dissipation and interactions drives a dissipative phase transition, marked by the opening of a many-body gap and a crossover from power-law to exponential relaxation. The weakly-interacting regime displays non-reciprocal signatures, including nonzero currents and directional charge accumulation reminiscent of the skin effect. Notably, despite this localization, quantum trajectories exhibit volume-law entanglement. Finally, reciprocity is dynamically restored above a critical interaction strength.
arXiv comment6 pages + 2 pages of End Matter + 15 pages of Supplementary Material; 5 + 2 + 8 Figures. Comments are welcome
References in corpus (60)
- Edge states and topological invariants of non-Hermitian systems
- Non-Hermitian Physics
- The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
- Localization transitions in non-Hermitian quantum mechanics
- Topological phases of non-Hermitian systems
- Symmetry and Topology in Non-Hermitian Physics
- Anomalous edge state in a non-Hermitian lattice
- Quantum trajectories and open many-body quantum systems
- Vortex Pinning and Non-Hermitian Quantum Mechanics
- What is Nonreciprocity?
- Non-Hermitian skin effect and chiral damping in open quantum systems
- Non-reciprocal phase transitions
- Nonreciprocal Photon Transmission and Amplification via Reservoir Engineering
- Non-reciprocal robotic metamaterials
- Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
- Non-Hermitian topological phenomena: A review
- Odd dynamics of living chiral crystals
- Nonreciprocity as a generic route to traveling states
- Tunable non-reciprocal quantum transport through a dissipative Aharonov-Bohm ring in ultracold atoms
- Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
- Relaxation times of dissipative many-body quantum systems
- Liouvillian Skin Effect: Slowing Down of Relaxation Processes without Gap Closing
- Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
- Scalar Active Mixtures: The Non-Reciprocal Cahn-Hilliard Model
- Topological framework for directional amplification in driven-dissipative cavity arrays
- Current fluctuations in open quantum systems: Bridging the gap between quantum continuous measurements and full counting statistics
- Super-fermion representation of the Lindblad master equation for the electron transport problem
- Non-Hermitian phase transition from a polariton Bose-Einstein condensate to a photon laser
- Non-equilibrium stationary states of quantum non-Hermitian lattice models
- Topological Amplification in Photonic Lattices
- Solving quasi-free and quadratic Lindblad master equations for open fermionic and bosonic systems
- Liouvillian Skin Effect in an Exactly Solvable Model
- Nonreciprocal pattern formation of conserved fields
- Universality in driven open quantum matter
- Generalized Lotka-Volterra equations with random, non-reciprocal interactions: the typical number of equilibria
- Resonant thermalization of periodically driven strongly correlated electrons
- The non-reciprocal Dicke model
- Absence of Thermalization in Finite Isolated Interacting Floquet Systems
- Field Theory of Many-Body Lindbladian Dynamics
- Nonreciprocal Ising model
- Quantum Criticality in Open Quantum Spin Chains with Nonreciprocity
- Introduction to quantum non-reciprocal interactions: from non-Hermitian Hamiltonians to quantum master equations and quantum feedforward schemes
- Restoration of the non-Hermitian bulk-boundary correspondence via topological amplification
- Phase transition to chaos in complex ecosystems with non-reciprocal species-resource interactions
- Nonreciprocal Synchronization of Active Quantum Spins
- Non-reciprocal frustration: time crystalline order-by-disorder phenomenon and a spin-glass-like state
- Measurement-induced transitions for interacting fermions
- Criticality and Phase Classification for Quadratic Open Quantum Many-Body Systems
- Many-Body Open Quantum Systems
- Persistent currents by reservoir engineering
- Universal phenomenology at critical exceptional points of nonequilibrium models
- Interactions and integrability in weakly monitored Hamiltonian systems
- Non-reciprocal dynamics and the non-Hermitian skin effect of repulsively bound pairs
- Current rectification in double quantum dot through fermionic reservoir engineering
- Dissipative flow equations
- Non-Unitary Quantum Many-Body Dynamics using the Faber Polynomial Method
- Phase Transitions in Nonreciprocal Driven-Dissipative Condensates
- Nonreciprocal Spin-Glass Transition and Aging
- Toolbox for nonreciprocal dispersive models in circuit QED
- Nonreciprocal interactions induce frequency shifts in superradiant lasers