Dissipative Yao-Lee Spin-Orbital Model: Exact Solvability and Symmetry Breaking
arXiv:2512.04155 · doi:10.1103/zc8g-9fw7
Abstract
Exactly solvable dissipative models provide an analytical tool for studying the relaxation dynamics in open quantum systems. In this work, we study an exactly solvable model based on an anisotropic variant of the Yao-Lee spin-orbital model, with dissipation acting in the spin sector. We map Liouvillian dynamics to fermions hopping in a doubled Hilbert space under a non-Hermitian Hamiltonian and demonstrate the model's exact solvability. We analyze the model's strong and weak symmetries, which protect an exponentially large manifold of non-equilibrium steady states, establishing the system as a physically feasible dissipative spin liquid. Furthermore, we analyze the transient dynamics in a translationally invariant sector and discover that the single-particle Liouvillian spectrum hosts an exceptional ring in momentum space. We map out a characteristic symmetry breaking transition driven by the dissipation strength, which governs the crossover from oscillatory to decaying relaxation of physical observables. Our work provides a physically motivated, solvable setting for exploring the coexistence of dissipative spin liquid physics and Liouvillian spectral singularities.
13 pages, 4 figures
References in corpus (70)
- Anyons in an exactly solved model and beyond
- Making Sense of Non-Hermitian Hamiltonians
- Exceptional Topology of Non-Hermitian Systems
- Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- Non-Markovian dynamics in open quantum systems
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- Quantum many-body systems out of equilibrium
- Topological Band Theory for Non-Hermitian Hamiltonians
- Matrix Product Density Operators: Simulation of finite-T and dissipative systems
- An Open-System Quantum Simulator with Trapped Ions
- Quantum trajectories and open many-body quantum systems
- Open Quantum Systems. An Introduction
- Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
- Third quantization: a general method to solve master equations for quadratic open Fermi systems
- Symmetries and conserved quantities in Lindblad master equations
- Spectral theory of Liouvillians for dissipative phase transitions
- A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
- IBM Q Experience as a versatile experimental testbed for simulating open quantum systems
- Controlling open quantum systems: Tools, achievements, and limitations
- A review of progress in the physics of open quantum systems: theory and experiment
- Variational Matrix Product Operators for the Steady State of Dissipative Quantum Systems
- Tenfold Way for Quadratic Lindbladians
- A positive tensor network approach for simulating open quantum many-body systems
- Exact Bethe ansatz spectrum of a tight-binding chain with dephasing noise
- Quantum critical states and phase transitions in the presence of non equilibrium noise
- Quantum criticality under decoherence or weak measurement
- Exact Liouvillian Spectrum of a One-Dimensional Dissipative Hubbard Model
- Non-equilibrium quantum dynamics and formation of the Bose polaron
- Dissipative spin chain as a non-Hermitian Kitaev ladder
- Decoherence Induced Exceptional Points in a Dissipative Superconducting Qubit
- Fermionic magnons, non-Abelian spinons, and spin quantum Hall effect from an exactly solvable Kitaev Hamiltonian with SU(2) symmetry
- Symmetry classes of open fermionic quantum matter
- PT-symmetric quantum Liouvillian dynamics
- Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos
- Exceptional Spin Liquids from Couplings to the Environment
- Strong-to-Weak Spontaneous Symmetry Breaking in Mixed Quantum States
- One-dimensional many-body entangled open quantum systems with tensor network methods
- Dissipative quantum Ising chain as a non-Hermitian Ashkin-Teller model
- Symmetry Classification of Many-Body Lindbladians: Tenfold Way and Beyond
- Emergence of PT-symmetry breaking in open quantum systems
- Symmetry protected topological phases under decoherence
- Integrable quantum dynamics of open collective spin models
- Exact solutions of interacting dissipative systems via weak symmetries
- Entanglement in one-dimensional critical state after measurements
- Open Quantum System Dynamics from Infinite Tensor Network Contraction
- Topological energy conversion through bulk or boundary of driven systems
- Half-integer quantized topological response in quasiperiodically driven quantum systems
- phase transition in open quantum systems with Lindblad dynamics
- Many-Body Open Quantum Systems
- Generic examples of PT-symmetric qubit (spin 1/2) Liouvillians
- Dissipative Boundary State Preparation
- Vison crystals, chiral and crystalline phases in the Yao-Lee model
- Universal nonadiabatic energy pumping in a quasiperiodically driven extended system
- Higher-form Symmetries under Weak Measurement
- Probing two-body exceptional points in open dissipative systems
- Exceptional dynamics of interacting spin liquids
- Real-space topological invariant for time-quasiperiodic Majoranas
- Solvable BCS-Hubbard Liouvillians in arbitrary dimensions
- An exactly solvable dissipative spin liquid
- Quantum quenches in driven-dissipative quadratic fermionic systems with parity-time symmetry
- Microscopic Roadmap to a Yao-Lee Spin-Orbital Liquid
- Observation of multiple steady states with engineered dissipation
- Engineering imaginary stark ladder in a dissipative lattice: passive symmetry, K symmetry and localized damping
- Non-Hermitian generalizations of the Yao-Lee model augmented by SO(3)-symmetry-breaking terms
- Spin Liquid and Superconductivity emerging from Steady States and Measurements
- Hardness of observing strong-to-weak symmetry breaking
- A study of dissipative models based on Dirac matrices
- Exactly solvable dissipative dynamics and one-form strong-to-weak spontaneous symmetry breaking in interacting two-dimensional spin systems
- Efficient tensor network simulation of multi-emitter non-Markovian systems
- Simulation of bilayer Hamiltonians based on monitored quantum trajectories