Dunning, Clare and Isaac, Philip S. and Links, Jon and Zhou, Shao-You (2011) BEC-BCS crossover in a p+ip-wave pairing Hamiltonian coupled to bosonic molecular pairs. Nuclear Physics B, 848 (2). pp. 372-397. ISSN 0550-3213.
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We analyse a p+ip-wave pairing BCS Hamiltonian, coupled to a single bosonic degree of freedom representing a molecular condensate, and investigate the nature of the BEC-BCS crossover for this system. For a suitable restriction on the coupling parameters, we show that the model is integrable and we derive the exact solution by the algebraic Bethe ansatz. In this manner we also obtain explicit formulae for correlation functions and compute these for several cases. We find that the crossover between the BEC state and the strong pairing p+ip phase is smooth for this model, with no intermediate quantum phase transition.
|Uncontrolled keywords:||BCS model; Integrable systems; Bethe ansatz; Correlation functions|
|Subjects:||Q Science > QA Mathematics (inc Computing science)|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science|
|Depositing User:||Clare Dunning|
|Date Deposited:||04 Oct 2012 10:19|
|Last Modified:||23 Jan 2013 09:13|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/31251 (The current URI for this page, for reference purposes)|
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