Colloquium: Exactly solvable Richardson-Gaudin models for many-body quantum systems

Keywords

Physics, Boson, Pauli exclusion principle, Hamiltonian (control theory), Theoretical physics

References

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• New mechanism for the enhancement of sd dominance in interacting boson models.J. Dukelsky, S. P̧ittel — 2001
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• Thermodynamic properties of a small superconducting grainMoshe Schechter, Y. Imry, Y. Levinson — 2000
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• CONSERVATION OF PARTICLE NUMBER IN THE NUCLEAR PAIRING MODELK. Dietrich, H.J. Mang, J. Pradal — 1964
• Condensate fragmentation in a new exactly solvable model for confined bosons.J. Dukelsky, P. Schuck — 2000
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• Coherent and chaotic properties of nuclear pairingAlexander Volya, Vladimir Zelevinsky, B. A. Brown — 2001
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Cited by

• Benchmarking the Variational Reduced Density Matrix Theory in the Doubly Occupied Configuration Interaction Space with Integrable Pairing Models.Taku Takeda, Kakuko Yasunaka, Keiichi Tanaka — 2018
• Confinement quantique dans les nanocristaux supraconducteurs et transport électronique dans les réseaux de nanocristaux métalliquesH. Moreira — 2009
• Spin-1 microcondensate in a magnetic fieldAusten Lamacraft — 2011
• Particle-number-conserving theory for nuclear pairingLu Jia — 2013
• Model wavefunction forms to describe strong correlation in quantum chemistryPaul A. Johnson — 2014
• BCS ansatz for superconductivity in the light of the Bogoliubov approach and the Richardson–Gaudin exact wave functionMonique Combescot, W. V. Pogosov, O. Betbeder‐Matibet — 2013
• Analytical determination of the Cooper pair condensation using linearized solutions of the BCS HamiltonianCarlos Ramírez, Vicenta Sánchez, Chumín Wang — 2015
• Mesoscopic bcs pairing in the repulsive one-dimensional hubbard modelLuigi Amico, A. Mastellone, Andreas Osterloh — 2005
• Making, probing and understanding ultracold Fermi gasesWolfgang Ketterle, Martin W. Zwierlein — 2008
• Projected quasiparticle perturbation theoryDenis Lacroix, D. Gambacurta — 2012
• Coherent oscillations in superconducting cold Fermi atoms and their applicationsRazvan Teodorescu — 2007
• Ground State of 1D Bosons with Delta Interaction: Link to the BCS ModelMurray T. Batchelor, Xi-Wen Guan, James McGuire — 2003
• Quantum computation algorithm for many-body studiesEirik Ovrum, M. Hjorth‐Jensen — 2007
• Coupled SU(3) models of rotational states in nuclei and quasi-dynamical symmetryG. Thiamová, D.J. Rowe — 2006
• Thermodynamics of the Two-Level Richardson ModelA. Ciechan, K. I. Wysokiński — 2007
• Particle-hole duality, integrability, and Russian doll BCS modelL. V. Bork, W. V. Pogosov — 2014
• Effects of symmetry breaking in finite quantum systemsJ.L. Birman, R.G. Nazmitdinov, V.I. Yukalov — 2013
• BEC–BCS crossover in a (p+ip)-wave pairing Hamiltonian coupled to bosonic molecular pairsClare Dunning, Phillip S. Isaac, Jon Links — 2011
• Classification of parameter-dependent quantum integrable models, their parameterization, exact solution and other propertiesHaile K Owusu, Emil A Yuzbashyan — 2011
• The sl(2|1)(2) Gaudin magnet with diagonal boundary termsA. Lima-Santos — 2009

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