Quasiballistic transport in long-range anisotropic Heisenberg model
arXiv:2206.05960 · doi:10.1103/PhysRevB.107.045134
Abstract
Purely ballistic transport is a rare feature even for integrable models. By numerically studying the Heisenberg chain with the power-law exchange, \mbox{}, where is a distance, we show that for spin anisotropy the system exhibits a quasiballistic spin transport and the presence of fermionic excitation which do not decay up to extremely long times . This conclusion is reached on the base of the dynamics of spin domains, the dynamical spin conductivity, inspecting the matrix elements of the spin-current operator, and by the analysis of most conserved operators. Our results smoothly connects two models where fully ballistic transport is present: free particles with nearest-neighbor hopping and the isotropic Haldane-Shastry model.
References in corpus (52)
- Probing many-body dynamics on a 51-atom quantum simulator
- Many-Body Physics with Individually-Controlled Rydberg Atoms
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
- Observation of entanglement propagation in a quantum many-body system
- A Rydberg Quantum Simulator
- Non-local propagation of correlations in long-range interacting quantum systems
- Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
- Transport and conservation laws
- Prethermalization
- Interaction Quench in the Hubbard model
- Tools for quantum simulation with ultracold atoms in optical lattices
- Finite-temperature transport in one-dimensional quantum lattice models
- Spin transport in a one-dimensional anisotropic Heisenberg model
- Spread of correlations in long-range interacting quantum systems
- Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions
- Spin transport in a tunable Heisenberg model realized with ultracold atoms
- Generalized Gibbs ensemble prediction of prethermalization plateaus and their relation to nonthermal steady states in integrable systems
- Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion
- Far-from-equilibrium spin transport in Heisenberg quantum magnets
- Nearly-linear light cones in long-range interacting quantum systems
- Conservation laws, integrability and transport in one-dimensional quantum systems
- Probing quench dynamics across a quantum phase transition into a 2D Ising antiferromagnet
- Microwave-engineering of programmable XXZ Hamiltonians in arrays of Rydberg atoms
- Ground State and Finite Temperature Lanczos Methods
- Real-time and real-space spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures
- Observing emergent hydrodynamics in a long-range quantum magnet
- Transverse-Field Ising Dynamics in a Rydberg-Dressed Atomic Gas
- Ground states of a frustrated quantum spin chain with long-range interactions
- Quasi-localized excitations induced by long-range interactions in translationally-invariant quantum spin chains
- Universal Scaling Laws for Correlation Spreading in Quantum Systems with Short- and Long-Range Interactions
- Finite-temperature Drude weight within the anisotropic Heisenberg chain
- Entanglement and fluctuations in the XXZ model with power-law interactions
- Causality and quantum criticality in long-range lattice models
- Sudden expansion of Mott insulators in one dimension
- Density dynamics in translationally invariant spin-1/2 chains at high temperatures: a current auto-correlation approach to finite time- and length-scales
- Spin and energy currents in integrable and nonintegrable spin-1/2 chains: A typicality approach to real-time autocorrelations
- Local and Quasilocal Conserved Quantities in Integrable Systems
- Realizing distance-selective interactions in a Rydberg-dressed atom array
- Metastability and discrete spectrum of long-range systems
- Quasiparticles in quantum spin chains with long-range interactions
- Singular dynamics and emergence of nonlocality in long-range quantum models
- Spreading of Correlations and Entanglement in the Long-Range Transverse Ising Chain
- Expansion velocity of a one-dimensional, two-component Fermi gas during the sudden expansion in the ballistic regime
- Is there an attraction between spinons in the Haldane--Shastry model?
- A Note on Dressed S-Matrices in Models with Long-Range Interactions
- Spin transport in long-range interacting one-dimensional chain
- Characterizing Topological Excitations of a Long-Range Heisenberg Model with Trapped Ions
- R-matrix-valued Lax pairs and long-range spin chains
- Entanglements and correlations of one-dimensional quantum spin-1/2 chain with anisotropic power-law long range interactions
- Coexistence of diffusive and ballistic transport in integrable quantum lattice models
- From dissipationless to normal diffusion in easy-axis Heisenberg spin chain