Volume 108, Number 4, November 2014
|Number of page(s)||6|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||14 November 2014|
Searching for pairing energies in phase space
1 Departamento de Matemática Aplicada, Universidad de Granada - Fuentenueva s/n, 18071 Granada, Spain
2 Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México - Apdo. Postal 70-543, México 04510 D.F., México
3 Departamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada - Fuentenueva s/n, 18071 Granada, Spain
Received: 1 July 2014
Accepted: 26 October 2014
We obtain a representation of pairing energies in phase space, for the Lipkin-Meshkov-Glick and boson Bardeen-Cooper-Schrieffer pairing mean-field–like Hamiltonians. This is done by means of a probability distribution of the quantum state in phase space. In fact, we prove a correspondence between the points at which this probability distribution vanishes and the pairing energies. In principle, the vanishing of this probability distribution is experimentally accessible and additionally gives a method to visualize pairing energies across the model control parameter space. This result opens new ways to experimentally approach quantum pairing systems.
PACS: 71.10.Li – Excited states and pairing interactions in model systems / 21.10.-k – Properties of nuclei; nuclear energy levels / 74.20.Fg – BCS theory and its development
© EPLA, 2014
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