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Open AccessArticle

Supersymmetric Displaced Number States

Department of Physics, Yeshiva University, New York, NY 10033, USA
Academic Editor: Jonathan Bougie
Symmetry 2015, 7(2), 1017-1027; https://doi.org/10.3390/sym7021017
Received: 7 April 2015 / Revised: 13 May 2015 / Accepted: 2 June 2015 / Published: 5 June 2015
(This article belongs to the Special Issue Supersymmetry 2014)
We introduce, generate and study a family of supersymmetric displaced number states (SDNS) that can be considered generalized coherent states of the supersymmetric harmonic oscillator. The family is created from the seminal supersymmetric boson-fermion entangling annihilation operator introduced by Aragone and Zypman and later expanded by Kornbluth and Zypman. Using the momentum representation, the states are obtained analytically in compact form as displaced supersymmetric number states. We study their position-momentum uncertainties, and their bunchiness by classifying them according to their Mandel Q-parameter in phase space. We were also able to find closed form analytical representations in the space and number basis. View Full-Text
Keywords: supersymmetric coherent states; non-classical light; supercoherent states; minimum uncertainty states, sub-Poissonian light, antibunching supersymmetric coherent states; non-classical light; supercoherent states; minimum uncertainty states, sub-Poissonian light, antibunching
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MDPI and ACS Style

Zypman, F.R. Supersymmetric Displaced Number States. Symmetry 2015, 7, 1017-1027. https://doi.org/10.3390/sym7021017

AMA Style

Zypman FR. Supersymmetric Displaced Number States. Symmetry. 2015; 7(2):1017-1027. https://doi.org/10.3390/sym7021017

Chicago/Turabian Style

Zypman, Fredy R. 2015. "Supersymmetric Displaced Number States" Symmetry 7, no. 2: 1017-1027. https://doi.org/10.3390/sym7021017

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