Exact solution of the p+ip Hamiltonian revisited: duality relations in the hole-pair picture

Abstract

We study the exact Bethe Ansatz solution of the p+ip Hamiltonian in a form whereby quantum numbers of states refer to hole-pairs, rather than particle-pairs used in previous studies. We find an asymmetry between these approaches. For the attractive system states in the strong pairing regime take the form of a quasi-condensate involving two distinct hole-pair creation operators. An analogous feature is not observed in the particle-pair picture.

arXiv comment19 pages, 2 figures, 2 tables

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Cited by in corpus (12)

• Integrability and dark states in an anisotropic central spin model
• Read-Green resonances in a topological superconductor coupled to a bath
• Solution of the classical Yang--Baxter equation with an exotic symmetry, and integrability of a multi-species boson tunneling model
• Inner products in integrable Richardson-Gaudin models
• An integrable case of the p+ip pairing Hamiltonian interacting with its environment
• Eigenvalue-based determinants for scalar products and form factors in Richardson-Gaudin integrable models coupled to a bosonic mode
• Dissipative dynamics in open XXZ Richardson-Gaudin models
• Integrability and duality in spin chains
• Ground-state energies of the open and closed $p+ip$-pairing models from the Bethe Ansatz
• Read-Green points and level crossings in XXZ central spin models and $p_x+i{p}_y$ topological superconductors
• Solvable 2D superconductors with l-wave pairing
• Integrable model of a $p$-wave bosonic superfluid