Stable dynamic helix state in the nonintegrable XXZ Heisenberg model
arXiv:2308.06146 · doi:10.1088/1402-4896/ad5886
Abstract
We investigate the influence of external fields on the stability of spin helix states in an XXZ Heisenberg model. Exact diagonalization on a finite system shows that random transverse fields in the x and y directions drive the transition from integrability to nonintegrability. In such a system, the helix state can be regarded as a quantum scar. Simultaneously, the presence of uniform z field enables the helix state to better maintain its dynamical nature, allowing for a clearer understanding of its evolutionary behavior. However, the entanglement entropy reveals that irrespective of the presence of a uniform z field, as long as the system remains chaotic, the scar extent of the helix state shows no significant variation.
arXiv comment7 pages, 4 figures
References in corpus (50)
- Probing many-body dynamics on a 51-atom quantum simulator
- Localization of interacting fermions at high temperature
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Quantum many-body scars
- Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
- 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 scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
- Microscopic observation of magnon bound states and their dynamics
- Emergent SU(2) dynamics and perfect quantum many-body scars
- Entanglement of Exact Excited States of AKLT Models: Exact Results, Many-Body Scars and the Violation of Strong ETH
- Digital quantum simulation of fermionic models with a superconducting circuit
- Periodic orbits, entanglement and quantum many-body scars in constrained models: matrix product state approach
- Exact Quantum Many-Body Scar States in the Rydberg-Blockaded Atom Chain
- Weak Ergodicity Breaking and Quantum Many-Body Scars in Spin-1 XY Magnets
- Exact Excited States of Non-Integrable Models
- Spin transport in a tunable Heisenberg model realized with ultracold atoms
- Signatures of integrability in the dynamics of Rydberg-blockaded chains
- Far-from-equilibrium spin transport in Heisenberg quantum magnets
- Unified structure for exact towers of scar states in the AKLT and other models
- Onsager's Scars in Disordered Spin Chains
- Eta-Pairing in Hubbard Models: From Spectrum Generating Algebras to Quantum Many-Body Scars
- One-Dimensional Magnetism
- Many-body mobility edge in a mean-field quantum spin glass
- Disorder-Free Localization and Many-Body Quantum Scars from Magnetic Frustration
- Flat Band Quantum Scar
- Connection between quantum-many-body scars and the AKLT model from the viewpoint of embedded Hamiltonians
- Glassy dynamics in a disordered Heisenberg quantum spin system
- Catching Bethe phantoms and quantum many-body scars: Long-lived spin-helix states in Heisenberg magnets
- Transverse spin dynamics in the anisotropic Heisenberg model realized with ultracold atoms
- Anomalous hydrodynamics in a class of scarred frustration-free Hamiltonians
- Robust quantum sensing in strongly interacting systems with many-body scars
- Protecting Spin Coherence in a Tunable Heisenberg Model
- Dispersions of Many-Body Bethe strings
- Exact nonequilibrium steady state of open XXZ/XYZ spin-1/2 chain with Dirichlet boundary conditions
- Solution of the Lindblad equation for spin helix states
- Dynamical signatures of quasiparticle interactions in quantum spin chains
- Phantom Bethe excitations and spin helix eigenstates in integrable periodic and open spin chains
- Exact real-time longitudinal correlation functions of the massive XXZ chain
- Obtaining pure steady states in nonequilibrium quantum systems with strong dissipative couplings
- Probing magnon dynamics and interactions in a ferromagnetic spin-1 chain
- Quantum scars and bulk coherence in a symmetry-protected topological phase
- Many-body localization phase in a spin-driven chiral multiferroic chain
- Disorder-tunable entanglement at infinite temperature
- Enhancing the effect of quantum many-body scars on dynamics by minimising the effective dimension
- Quantum scars in spin-1/2 isotropic Heisenberg clusters
- Tower of quantum scars in a partially many-body localized system
- Steady helix states in a resonant XXZ Heisenberg model with Dzyaloshinskii-Moriya interaction
- Robust unidirectional phantom helix states in the XXZ Heisenberg model with Dzyaloshinskii-Moriya interaction