Hierarchy of degenerate stationary states in a boundary-driven dipole-conserving spin chain
arXiv:2411.03309 · doi:10.21468/SciPostPhys.18.3.111
Abstract
Kinetically constrained spin chains serve as a prototype for structured ergodicity breaking in isolated quantum systems. We show that such a system exhibits a hierarchy of degenerate steady states when driven by incoherent pump and loss at the boundary. By tuning the relative pump and loss and how local the constraints are, one can stabilize mixed steady states, noiseless subsystems, and various decoherence-free subspaces, all of which preserve large amounts of information. We also find that a dipole-conserving bulk suppresses current in steady state. These exact results based on the flow in Hilbert space hold regardless of the specific Hamiltonian or drive mechanism. Our findings show that a competition of kinetic constraints and local drives can induce different forms of ergodicity breaking in open systems, which should be accessible in quantum simulators.
arXiv comment8 pages, 2 figures + appendix + notebook with data; Minor refinements to the text and additional derivations
References in corpus (51)
- Decoherence Free Subspaces for Quantum Computation
- A Theory of Quantum Error-Correcting Codes
- Quantum trajectories and open many-body quantum systems
- Glassy dynamics of kinetically constrained models
- Localization from Hilbert space shattering: from theory to physical realizations
- Local constraints can globally shatter Hilbert space: a new route to quantum information protection
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- Symmetries and conserved quantities in Lindblad master equations
- Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
- A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
- A Dissipatively Stabilized Mott Insulator of Photons
- Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
- Fracton hydrodynamics
- From Bloch Oscillations to Many Body Localization in Clean Interacting Systems
- Hilbert-Space Fragmentation from Strict Confinement
- Relaxation times of dissipative many-body quantum systems
- Anomalous Diffusion in Dipole- and Higher-Moment Conserving Systems
- Statistical localization: from strong fragmentation to strong edge modes
- Subdiffusion and heat transport in a tilted 2D Fermi-Hubbard system
- Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise
- Analysis of quantum semigroups with GKS--Lindblad generators II. General
- Localization in fractonic random circuits
- Kinetically constrained freezing transition in a dipole-conserving system
- Observation of Four-body Ring-exchange Interactions and Anyonic Fractional Statistics
- Anomalous Subdiffusion from Subsystem Symmetries
- Stark many-body localization on a superconducting quantum processor
- Thermalization and its absence within Krylov subspaces of a constrained Hamiltonian
- Digital-Analog Quantum Simulations with Superconducting Circuits
- Multipole conservation laws and subdiffusion in any dimension
- Quantum Many-body Scars in a Landau Level on a Thin Torus
- Experimental probes of Stark many-body localization
- PT-symmetric quantum Liouvillian dynamics
- Spectral gaps and mid-gap states in random quantum master equations
- Spectral statistics in constrained many-body quantum chaotic systems
- Emergence of PT-symmetry breaking in open quantum systems
- Many-body localization in a fragmented Hilbert space
- Demonstration of three- and four-body interactions between trapped-ion spins
- Hilbert Space Fragmentation in Open Quantum Systems
- Dissipative spin chains: Implementation with cold atoms and steady-state properties
- Long-Range Coherence and Multiple Steady States in a Lossy Qubit Array
- Exact solution for the filling-induced thermalization transition in a 1D fracton system
- A tunable High-Q millimeter wave cavity for hybrid circuit and cavity QED experiments
- Out-of-equilibrium steady states of a locally driven lossy qubit array
- Hydrodynamics in long-range interacting systems with center-of-mass conservation
- Deconfinement Dynamics of Fractons in Tilted Bose-Hubbard Chains
- A Lindblad model for a spin chain coupled to heat baths
- Hierarchical hydrodynamics in long-range multipole-conserving systems
- Anomalous relaxation and hyperuniform fluctuations in center-of-mass conserving systems with broken time-reversal symmetry
- Observation of multiple steady states with engineered dissipation
- Hyperuniformity in mass transport processes with center-of-mass conservation: Some exact results
- Universal Freezing Transitions of Dipole-Conserving Chains