Spin transport in disordered long-range interacting spin chain

Abstract

Using a numerically exact technique we study spin transport and the evolution of spin-density excitation profiles in a disordered spin-chain with long-range interactions, decaying as a power-law, $r^{-\alpha }$ with distance and $\alpha <2$. Our study confirms the prediction of recent theories that the system is delocalized in this parameters regime. Moreover we find that for $\alpha >3/2$ the underlying transport is diffusive with a transient super-diffusive tail, similarly to the situation in clean long-range systems. We generalize the Griffiths picture to long-range systems and show that it captures the essential properties of the exact dynamics.

5 pages, 5 figures, revised and added entanglement entropy

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• Suppression of heating by long-range interactions in periodically driven spin chains
• Many-body localization and enhanced non-ergodic sub-diffusive regime in the presence of random long-range interactions
• Sub-diffusive phases in open clean long-range systems
• Fast Time-Evolution of Matrix-Product States using the QR decomposition
• An SYK-inspired model with density-density interactions: spectral & wave function statistics, Green's function and phase diagram
• Signatures of Integrability and Exactly Solvable Dynamics in an Infinite-Range Many-Body Floquet Spin System
• Quantum walkers in a disordered lattice with power-law hopping
• Local density of states and scattering rates across the many-body localization transition