Spin transport in long-range interacting one-dimensional chain

Abstract

We numerically study spin transport and nonequilibrium spin-density profiles in a clean one-dimensional spin-chain with long-range interactions, decaying as a power-law,$r^{-\alpha }$ with distance. We find two distinct regimes of transport: for $\alpha <1/2$, spin excitations relax instantaneously in the thermodynamic limit, and for $\alpha >1/2$, spin transport combines both diffusive and superdiffusive features. We show that while for $\alpha >3/2$ the spin diffusion coefficient is finite, transport in the system is never strictly diffusive, contrary to corresponding classical systems.

8 pages, 10 figures

References in corpus (22)

• The density-matrix renormalization group in the age of matrix product states
• Real time evolution using the density matrix renormalization group
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Bose-Einstein Condensation of Erbium
• Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
• Scalable quantum register based on coupled electron spins in a room temperature solid
• Quantum degenerate dipolar Fermi gas
• Kitaev chains with long-range pairing
• Scrambling and thermalization in a diffusive quantum many-body system
• Nearly-linear light cones in long-range interacting quantum systems
• Applying matrix product operators to model systems with long-range interactions
• Information propagation in isolated quantum systems
• Diverging equilibration times in long-range quantum spin models
• Time-dependent variational principle in matrix-product state manifolds: pitfalls and potential
• Quantum thermalization dynamics with Matrix-Product States
• Universal Scaling Laws for Correlation Spreading in Quantum Systems with Short- and Long-Range Interactions
• Coexistence of diffusive and ballistic transport in a simple spin ladder
• Emergent locality in systems with power-law interactions
• Universal threshold for the dynamical behavior of lattice systems with long-range interactions
• Scaling of diffusion constants in the spin-1/2 XX ladder
• Interplay of Soundcone and Supersonic Propagation in Lattice Models with Power Law Interactions
• $N$-Scaling of Timescales in Long-Range $N$-Body Quantum Systems

Cited by in corpus (22)

• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Strictly linear light cones in long-range interacting systems of arbitrary dimensions
• Numerical Assessment for Accuracy and GPU Acceleration of TD-DMRG Time Evolution Schemes
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Absence of fast scrambling in thermodynamically stable long-range interacting systems
• Non-local emergent hydrodynamics in a long-range quantum spin system
• Parallel time-dependent variational principle algorithm for matrix product states
• Transport and entanglement growth in long-range random Clifford circuits
• Lieb Robinson bounds and out of time order correlators in a long range spin chain
• Diffusion constants from the recursion method
• Suppression of heating by long-range interactions in periodically driven spin chains
• Magnetization dynamics in clean and disordered spin-1 XXZ chains
• Hydrodynamics in long-range interacting systems with center-of-mass conservation
• Sub-diffusive phases in open clean long-range systems
• Spin transport in disordered long-range interacting spin chain
• Long-range interaction in an open boundary-driven Heisenberg spin lattice: A far-from-equilibrium transition to ballistic transport
• Spatiotemporal dynamics of classical and quantum density profiles in low-dimensional spin systems
• Spin-1/2 XXZ chain coupled to two Lindblad baths: Constructing nonequilibrium steady states from equilibrium correlation functions
• Real-time broadening of bath-induced density profiles from closed-system correlation functions
• Diffusion of excitation and power-law localization in long-range-coupled strongly disordered systems
• Quasiballistic transport in long-range anisotropic Heisenberg model
• Quantum transport under oscillatory drive with disordered amplitude