Superdiffusion from nonabelian symmetries in nearly integrable systems

S Gopalakrishnan, R Vasseur - Annual Review of Condensed …, 2024 - annualreviews.org
The Heisenberg spin chain is a canonical integrable model. As such, it features stable
ballistically propagating quasiparticles, but spin transport is subballistic at any nonzero …

Nonlinear fluctuating hydrodynamics for Kardar-Parisi-Zhang scaling in isotropic spin chains

J De Nardis, S Gopalakrishnan, R Vasseur - Physical review letters, 2023 - APS
Finite temperature spin transport in integrable isotropic spin chains is known to be
superdiffusive, with dynamical spin correlations that are conjectured to fall into the Kardar …

Parametrically long lifetime of superdiffusion in nonintegrable spin chains

AJ McRoberts, R Moessner - Physical Review Letters, 2024 - APS
Superdiffusion is surprisingly easily observed even in systems without the integrability
underpinning this phenomenon. Indeed, the classical Heisenberg chain—one of the …

Slow crossover from superdiffusion to diffusion in isotropic spin chains

C McCarthy, S Gopalakrishnan, R Vasseur - Physical Review B, 2024 - APS
Finite-temperature spin transport in integrable isotropic spin chains (ie, spin chains with
continuous non-Abelian symmetries) is known to be superdiffusive, with anomalous …

Domain wall dynamics in classical spin chains: Free propagation, subdiffusive spreading, and soliton emission

AJ McRoberts, T Bilitewski, M Haque, R Moessner - Physical Review Letters, 2024 - APS
The nonequilibrium dynamics of domain wall initial states in a classical anisotropic
Heisenberg chain exhibits a striking coexistence of apparently linear and nonlinear …

Subdiffusive spin transport in disordered classical Heisenberg chains

AJ McRoberts, F Balducci, R Moessner, A Scardicchio - Physical Review B, 2023 - APS
We study the transport and equilibration properties of a classical Heisenberg chain, whose
couplings are random variables drawn from a one-parameter family of power-law …

Diagnosing quantum transport from wave function snapshots

DS Bhakuni, R Verdel, C Muzzi, R Andreoni… - Physical Review B, 2024 - APS
We study nonequilibrium quantum dynamics of spin chains by employing principal
component analysis on data sets of wave function snapshots and examine how information …

Domain wall dynamics in classical spin chains: free propagation, subdiffusive spreading, and topological soliton emission

AJ McRoberts, T Bilitewski, M Haque… - arxiv preprint arxiv …, 2023 - arxiv.org
The non-equilibrium dynamics of domain wall initial states in a classical anisotropic
Heisenberg chain exhibits a striking coexistence of apparently linear and non-linear …

Ballistic conductance with and without disorder in a boundary-driven XXZ spin chain

A McRoberts, R Moessner - SciPost Physics, 2025 - scipost.org
Motivated by recent experiments on Google's sycamore NISQ platform on the spin transport
resulting from a non-unitary periodic boundary drive of an XXZ chain, we study a classical …

Semiclassical analysis of spin dynamics in the non-Hermitian Hubbard model

D Sticlet, CP Moca, B Dóra - Physical Review B, 2024 - APS
We investigate a specific limit of the one-dimensional non-Hermitian Hubbard Hamiltonian
with complex interactions. In this framework, fermions with different spin quantum numbers …