Magnetization transport in spin ladders and next-nearest-neighbor chains

Abstract

We study magnetization transport at high temperatures in several spin ladder systems as well as in next-nearest-neighbor coupled spin chains. In the integrable ladder considered we analytically show that the transport is ballistic in sectors with nonzero average magnetization, while numerical simulations of a nonequilibrium stationary setting indicate an anomalous transport in the zero magnetization (half-filling) sector. For other systems, isotropic Heisenberg ladder and spin chains, showing eigenlevel repulsion typical of quantum chaotic systems, numerical simulations indicate diffusive transport.

11 pages

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Cited by in corpus (25)

• Finite-temperature transport in one-dimensional quantum lattice models
• Spin diffusion from an inhomogeneous quench in an integrable system
• Superuniversality of superdiffusion
• Multifractal dimensions for random matrices, chaotic quantum maps, and many-body systems
• Lower Bounding Diffusion Constant by the Curvature of Drude Weight
• Harnessing symmetry to control quantum transport
• Spin and thermal conductivity of quantum spin ladders
• Non-equilibrium quantum chains under multi-site Lindblad baths
• Asymmetry in energy versus spin transport in certain interacting, disordered systems
• Microscopic theory of a non-equilibrium open bosonic chain
• Quantum transport in d-dimensional lattices
• The open Heisenberg chain under boundary fields: a magnonic logic gate
• Finite-temperature charge transport in the one-dimensional Hubbard model
• Hubbard-to-Heisenberg crossover (and efficient computation) of Drude weights at low temperatures
• Spin transport in long-range interacting one-dimensional chain
• Exponential damping induced by random and realistic perturbations
• Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum
• Exact dynamics of quantum dissipative $XX$ models: Wannier-Stark localization in the fragmented operator space
• Temperature Dependent Energy Diffusion in Chaotic Spin Chains
• Non-equilibrium thermal transport and vacuum expansion in the Hubbard model
• Breakdown of superdiffusion in perturbed quantum integrable spin chains and ladders
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Thermalization at Low Temperatures via Weakly-Damped Multi-Site Baths
• Efficient quantum information probes of non-equilibrium quantum criticality
• Hierarchy of timescales in a disordered spin-$1/2$ XX ladder