Ground-state energies of the open and closed \(p + ip\)-pairing models from the Bethe Ansatz

DOI10.1016/j.nuclphysb.2018.08.015zbMath1402.82011arXiv1807.00428OpenAlexW2810285500MaRDI QIDQ1626448

Phillip S. Isaac, Yi-Bing Shen, J. R. Links

Publication date: 27 November 2018

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.00428

zbMATH Keywords

BCS-Hamiltonian

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly solvable models; Bethe ansatz (82B23) Many-body theory; quantum Hall effect (81V70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical thermodynamics (82B30) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (4)

Integrable spin-${\frac{1}{2}}$ Richardson–Gaudin XYZ models in an arbitrary magnetic field ⋮ Classical $r$-matrices, ``elliptic BCS and Gaudin-type Hamiltonians and spectral problem ⋮ Bethe states and Knizhnik-Zamolodchikov equations of the trigonometric Gaudin model with triangular boundary ⋮ Twisted rational \(r\)-matrices and algebraic Bethe ansatz: application to generalized Gaudin and Richardson models

Cites Work

• Solution of the classical Yang-Baxter equation with an exotic symmetry, and integrability of a multi-species boson tunnelling model
• BEC-BCS crossover in a \((p+ip)\)-wave pairing Hamiltonian coupled to bosonic molecular pairs
• Electrostatic analogy for integrable pairing force Hamiltonians
• Integrable quantum spin chains, non-skew symmetric \(r\)-matrices and quasigraded Lie algebras
• Large-\(N\) limit of the exactly solvable BCS model: Analytics versus numerics
• Integrability of an extended \(d+id\)-wave pairing Hamiltonian
• Generalized shift elements and classical \(r\)-matrices: construction and applications
• An integrable case of thep+ ippairing Hamiltonian interacting with its environment
• Generalized Heine–Stieltjes and Van Vleck polynomials associated with two-level, integrable BCS models
• Non-skew-symmetric classicalr-matrices and integrable cases of the reduced BCS model
• Exact solution of the $p+{\rm{i}}p$ Hamiltonian revisited: duality relations in the hole-pair picture
• A restricted class of exact eigenstates of the pairing-force Hamiltonian
• On the determinant representations of Gaudin models’ scalar products and form factors
• On the Bethe ansatz for the Jaynes–Cummings–Gaudin model

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