Coexistence of Anomalous and Normal Diffusion in Integrable Mott Insulators

Abstract

We study the finite-momentum spin dynamics in the one-dimensional XXZ spin chain within the Ising-type regime at high temperatures using density autocorrelations within linear response theory and real-time propagation of nonequilibrium densities. While for the nonintegrable model results are well consistent with normal diffusion, the finite-size integrable model unveils the coexistence of anomalous and normal diffusion in different regimes of time. In particular, numerical results show a Gaussian relaxation at smallest nonzero momenta which we relate to nonzero stiffness in a grand canonical ensemble. For larger but still small momenta normal-like diffusion is recovered. Similar results for the model of impenetrable particles also help to resolve rather conflicting conclusions on transport in integrable Mott insulators.

5 pages, 4 figures

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Cited by in corpus (26)

• Finite-temperature transport in one-dimensional quantum lattice models
• A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
• Exact matrix product solution for the boundary-driven Lindblad $XXZ$-chain
• Real-time and real-space spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures
• Spin-current autocorrelations from single pure-state propagation
• Spin and energy currents in integrable and nonintegrable spin-1/2 chains: A typicality approach to real-time autocorrelations
• Eigenstate thermalization hypothesis and integrals of motion
• Local and Quasilocal Conserved Quantities in Integrable Systems
• Breakdown of the generalized Gibbs ensemble for current-generating quenches
• Transport properties of the one-dimensional Hubbard model at finite temperature
• Magnetization transport in spin ladders and next-nearest-neighbor chains
• Finite-temperature charge transport in the one-dimensional Hubbard model
• Nonequilibrium steady-state Kubo formula: equality of transport coefficients
• Anomalous nonequilibrium current fluctuations in the Heisenberg model
• Spin hydrodynamics in the S = 1/2 anisotropic Heisenberg chain
• Eigenvalue statistics of reduced density matrix during driving and relaxation
• Coexistence of diffusive and ballistic transport in integrable quantum lattice models
• From dissipationless to normal diffusion in easy-axis Heisenberg spin chain
• Peltier effect in strongly driven quantum wires
• Interaction-Induced Weakening of Localization in Few-Particle Disordered Heisenberg Chains
• Energy and particle currents in a driven integrable system
• A universal solution scheme for fractional and classical PDEs
• Thouless approach in transport in integrable and perturbed easy-axis Heisenberg chains
• Reversal of relaxation due to dephasing environment
• Scaling of diffusion constants in perturbed easy-axis Heisenberg spin chains
• Energy current and energy fluctuations in driven quantum wires