Superdiffusive magnetization transport in the XX spin chain with non-local dephasing

Abstract

We study a recently discussed XX spin chain with non-local dephasing [arXiv:2310.03069] in a steady-state boundary-driven setting, confirming superdiffusive magnetization transport in the thermodynamic limit. The emergence of superdiffusion is rather interesting as the Lindblad operators causing it are a coherent sum of two terms, each of which would separately cause diffusion. One therefore has a quantum phenomenon where a coherent sum of two diffusive terms results in superdiffusion. We also study perturbations of the superdiffusive model, finding that breaking the exact form of dissipators, as well as adding interactions to the XX chain, results in superdiffusion changing into diffusion.

5 pages

References in corpus (9)

• The density-matrix renormalization group in the age of matrix product states
• Spin transport in a one-dimensional anisotropic Heisenberg model
• Kardar-Parisi-Zhang physics in the quantum Heisenberg magnet
• A momentum conserving model with anomalous thermal conductivity in low dimension
• Dissipative Dynamics and Phase Transitions in Fermionic Systems
• Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
• Kardar-Parisi-Zhang universality from soft gauge modes
• Transport in a disordered tight-binding chain with dephasing
• A matrix product solution for a nonequilibrium steady state of an XX chain

Cited by in corpus (5)

• Superdiffusive transport on lattices with nodal impurities
• Inhomogeneous SU(2) symmetries in homogeneous integrable U(1) circuits and transport
• Superdiffusive transport in chaotic quantum systems with nodal interactions
• Transfer matrix approach to quantum systems subject to certain Lindblad evolution
• Anomalous diffusion in quantum system driven by heavy-tailed stochastic processes