Entanglement transition in a cluster spin chain coupled with free spins
arXiv:2501.05937 · doi:10.1103/cw4n-b8xc
Abstract
We investigate the entanglement of a ladder of spins formed by two sublattices, a ''cluster'' chain and the ''environment'', consisting of independent spins, both coupled by an exchange interaction and evolving under a unitary discrete time dynamics. The automaton is defined by the composition of the two body spin swap gate (between sublattices) and the three body cluster interaction. We observe that, depending on the set of coupling constants, the cluster subsystem evolves towards states corresponding to different entanglement phases. In the weak coupling regime the subsystem remains near the topological cluster state. Increasing the coupling strength leads to random states which transform from almost pure to fully mixed, according to the effective number of the environment active degrees of freedom.
accepted version
References in corpus (59)
- Fault-tolerant quantum computation by anyons
- Separability Criterion for Density Matrices
- A computable measure of entanglement
- Chaos and Quantum Thermalization
- Surface codes: Towards practical large-scale quantum computation
- Probing many-body dynamics on a 51-atom quantum simulator
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Persistent entanglement in arrays of interacting particles
- Topological quantum memory
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Average Entropy of a Subsystem
- The logarithmic negativity: A full entanglement monotone that is not convex
- Zoo of quantum-topological phases of matter
- Lieb-Robinson bounds and the generation of correlations and topological quantum order
- Quantum Entanglement Growth Under Random Unitary Dynamics
- Measurement-driven entanglement transition in hybrid quantum circuits
- Random Quantum Circuits
- Quantum Decoherence
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- Quantum scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
- Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
- Dynamical purification phase transitions induced by quantum measurements
- Topological quantum order: stability under local perturbations
- A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
- Aspects of generic entanglement
- Most quantum states are too entangled to be useful as computational resources
- String order and symmetries in quantum spin lattices
- An introduction to integrable techniques for one-dimensional quantum systems
- Three-spin interactions in optical lattices and criticality in cluster Hamiltonians
- Quantum memories at finite temperature
- A Short Introduction to Topological Quantum Computation
- Long-range quantum entanglement in noisy cluster states
- Statistical localization: from strong fragmentation to strong edge modes
- Measurement-induced entanglement and teleportation on a noisy quantum processor
- Experimental Realization of a Measurement-Induced Entanglement Phase Transition on a Superconducting Quantum Processor
- Topological Order at Non-zero Temperature
- Symmetry enriched phases of quantum circuits
- Statistical mechanics of the Cluster-Ising model
- Long-range entanglement from measuring symmetry-protected topological phases
- Stable Quantum-Correlated Many Body States through Engineered Dissipation
- Topological Phase Transition without Gap Closing
- Topological order in 1D Cluster state protected by symmetry
- Simple Derivation of the Lindblad Equation
- Phase transitions and localizable entanglement in cluster-state spin chains with Ising couplings and local fields
- Phase diagram and quench dynamics of the Cluster-XY spin chain
- Mixed-state long-range order and criticality from measurement and feedback
- Entanglement negativity spectrum of random mixed states: A diagrammatic approach
- Quantum computation by local measurement
- Bounds on entanglement in qudit subsystems
- Quantum simulation of three-body interactions in weakly driven quantum systems
- Entanglement between two subsystems, the Wigner semicircle and extreme value statistics
- Phase transitions for random states and a semi-circle law for the partial transpose
- Entropy-Driven Phase Transitions of Entanglement
- Detecting entanglement of random states with an entanglement witness
- Topological and dynamical properties of a generalized cluster model in one dimension
- Observation of entanglement negativity transition of pseudo-random mixed states
- Edge modes and symmetry-protected topological states in open quantum systems
- Using (1 + 1)D Quantum Cellular Automata for Exploring Collective Effects in Large Scale Quantum Neural Networks
- Entanglement dynamics and phase transitions of the Floquet cluster spin chain