activity
20212026
most citedAnomalous Dynamics and Equilibration in the Classical Heisenberg Chain

31 citations · 78 across the 13 of their papers we have counts for

collaborators

13 papers

cond-mat.str-el2026

Counting Edge Modes with the Higher Berry Curvature: A Bulk Topological Order Parameter for Quantum Spin Chains

Adam J. McRoberts, Joe Crossley, Chris Hooley +1

We show that the higher Berry curvature (HBC) can be used to count the gapless edge modes created by an entanglement cut, and thus defines an integer-valued topological order param…

cond-mat.stat-mech2026

Integrability-breaking-induced Mpemba effect in spin chains

Adam J. McRoberts

We show that there are two distinct mechanisms that can cause the symmetry-restoration Mpemba effect in spin chains with \textit{weakly broken} integrability, such that the asympto…

cond-mat.stat-mech2025

Exact results on the hydrodynamics of certain kinetically-constrained hopping processes

Adam J. McRoberts, Vadim Oganesyan, Antonello Scardicchio

We consider a model of interacting random walkers on a triangular chain and triangular lattice, where a particle can move only if the other two sites of the triangle are unoccupied…

cond-mat.stat-mech2024★ 1 cited

Transition between critical antiferromagnetic phases in the - spin chain

Adam J. McRoberts, Chris Hooley, A. G. Green

The - spin chain is one of the canonical models of quantum magnetism, and has long been known to host a critical antiferromagnetic phase with power-law decay of spin corr…

cond-mat.stat-mech2024★ 2 cited

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

Adam J. McRoberts, Roderich Moessner

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…

cond-mat.str-el2024★ 1 cited

A Generalised Haldane Map from the Matrix Product State Path Integral to the Critical Theory of the - Chain

F. Azad, Adam J. McRoberts, Chris Hooley +1

We study the - spin- chain using a path integral constructed over matrix product states (MPS). By virtue of its non-trivial entanglement structure, the MPS ansatz ca…

cond-mat.stat-mech2024★ 12 cited

Parametrically long lifetime of superdiffusion in non-integrable spin chains

Adam J. McRoberts, Roderich Moessner

Superdiffusion is surprisingly easily observed even in systems without the integrability underpinning this phenomenon. Indeed, the classical Heisenberg chain -- one of the simplest…

cond-mat.stat-mech2023★ 6 cited

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

Adam J. McRoberts, Thomas Bilitewski, Masudul Haque +1

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 behaviour…

cond-mat.stat-mech2023★ 4 cited

Subdiffusive spin transport in disordered classical Heisenberg chains

Adam J. McRoberts, Federico Balducci, Roderich Moessner +1

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 distributio…

cond-mat.stat-mech2022★ 4 cited

Prethermalization in periodically-driven nonreciprocal many-body spin systems

Adam J. McRoberts, Hongzheng Zhao, Roderich Moessner +1

We analyze a new class of time-periodic nonreciprocal dynamics in interacting chaotic classical spin systems, whose equations of motion are conservative (phase-space-volume-preserv…

cond-mat.stat-mech2022★ 13 cited

Long-lived Solitons and Their Signatures in the Classical Heisenberg Chain

Adam J. McRoberts, Thomas Bilitewski, Masudul Haque +1

Motivated by the KPZ scaling recently observed in the classical ferromagnetic Heisenberg chain, we investigate the role of solitonic excitations in this model. We find that the Hei…

cond-mat.str-el2022★ 4 cited

Intermediate-scale theory for electrons coupled to frustrated local-moments

Adam J. McRoberts, J. F. Mendez-Valderrama, Roderich Moessner +1

A classic route for destroying long-lived electronic quasiparticles in a weakly interacting Fermi liquid is to couple them to other low-energy degrees of freedom that effectively a…

cond-mat.stat-mech2021★ 31 cited

Anomalous Dynamics and Equilibration in the Classical Heisenberg Chain

Adam J. McRoberts, Thomas Bilitewski, Masudul Haque +1

The search for departures from standard hydrodynamics in many-body systems has yielded a number of promising leads, especially in low dimension. Here we study one of the simplest c…