Read-Green resonances in a topological superconductor coupled to a bath

Abstract

We study a topological superconductor capable of exchanging particles with an environment. This additional interaction breaks particle-number symmetry and can be modelled by means of an integrable Hamiltonian, building on the class of Richardson-Gaudin pairing models. The isolated system supports zero-energy modes at a topological phase transition, which disappear when allowing for particle exchange with an environment. However, it is shown from the exact solution that these still play an important role in system-environment particle exchange, which can be observed through resonances in low-energy and -momentum level occupations. These fluctuations signal topologically protected Read-Green points and cannot be observed within traditional mean-field theory.

7 pages, 4 figures

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• Completeness of the Bethe states for the rational, spin-1/2 Richardson--Gaudin system
• Quadratic operator relations and Bethe equations for spin-1/2 Richardson-Gaudin models
• Dissipative dynamics in open XXZ Richardson-Gaudin models
• Common framework and quadratic Bethe equations for rational Gaudin magnets in arbitrarily oriented magnetic fields
• A variational method for integrability-breaking Richardson-Gaudin models
• Ground-state energies of the open and closed $p+ip$-pairing models from the Bethe Ansatz
• Ground-state energy of a Richardson-Gaudin integrable BCS model
• Read-Green points and level crossings in XXZ central spin models and $p_x+i{p}_y$ topological superconductors
• The Yang-Baxter paradox
• Dark states in an integrable XY central spin model
• "Bethe-Ansatz-free" eigenstates of spin-1/2 Richardson-Gaudin integrable models
• The Generalized Lipkin-Meshkov-Glick Model and the Modified Algebraic Bethe Ansatz