411 citations · 900 across the 13 of their papers we have counts for
13 papers
Finding zeros of the Riemann zeta function by periodic driving of cold atoms
C. E. Creffield, G. Sierra
The Riemann hypothesis, which states that the non-trivial zeros of the Riemann zeta function all lie on a certain line in the complex plane, is one of the most important unresolved…
Exactly solvable Richardson-Gaudin models for many-body quantum systems
J. Dukelsky, S. Pittel, G. Sierra
The use of exactly-solvable Richardson-Gaudin (R-G) models to describe the physics of systems with strong pair correlations is reviewed. We begin with a brief discussion of Richard…
The elementary excitations of the BCS model in the canonical ensemble
G. Sierra, J. M. Roman, J. Dukelsky
We summarize previous works on the exact ground state and the elementary excitations of the exactly solvable BCS model in the canonical ensemble. The BCS model is solved by Richard…
What are the elementary excitations of the BCS model in the canonical ensemble?
J. M. Roman, G. Sierra, J. Dukelsky
We have found the elementary excitations of the exactly solvable BCS model for a fixed number of particles. These turn out to have a peculiar dispersion relation, some of them with…
Large N limit of the exactly solvable BCS model: analytics versus numerics
J. M. Roman, G. Sierra, J. Dukelsky
We have studied the numerical solutions of Richardson equations of the BCS model in the limit of large number of energy levels at half-filling, and compare them with the analytic r…
Integrability and Conformal Symmetry in the BCS model
G. Sierra
The exactly solvable BCS Hamiltonian of superconductivity is considered from several viewpoints: Richardson's ansatz, conformal field theory, integrable inhomogenous vertex models…