25 citations · 45 across the 6 of their papers we have counts for
6 papers
Exact solution of the infinite-range dissipative transverse-field Ising model
David Roberts, Aashish A. Clerk
The dissipative variant of the Ising model in a transverse field is one of the most important models in the analysis of open quantum many-body systems, due to its paradigmatic char…
Competition between two-photon driving, dissipation and interactions in bosonic lattice models: an exact solution
David Roberts, Aashish Clerk
We present an exact solution in arbitrary dimensions for the steady states of a class of quantum driven-dissipative bosonic models, where a set of modes is subject to arbitrary two…
Hypergeometric supercongruences
David Roberts, Fernando Rodriguez Villegas
We discuss two related principles for hypergeometric supercongrences, one related to accelerated convergence and the other to the vanishing of Hodge numbers. This is an extended ab…
Monopole-Enriched Groundstates of Two-Dimensional BCS Models
David Roberts
We extract the macroscopic characteristics of the groundstate sectors of two dimensional Bose-condensed BCS models with a fixed number of magnetic flux quanta, on length scales muc…
The Total Green's Function of a Non-Interacting System
David Roberts
Despite its centrality in the mathematical structure of perturbative many-body theory, the total Green's function for the many-body time-dependent Schrodinger equation has been ign…
RETRACTED: Yang-Mills theory for bundle gerbes
Varghese Mathai, David Roberts
Given a bundle gerbe with connection on an oriented Riemannian manifold of dimension at least equal to 3, we formulate and study the associated Yang-Mills equations. When the Riema…