7 papers
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…
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…
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…
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…
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…
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…