Supersymmetric Displaced Number States

Symmetry

Fredy R. Zypman¹ 

[1] Department of Physics, Yeshiva University, New York, NY 10033, USA; E-Mail

关键词: supersymmetric coherent states;    non-classical light;    supercoherent states;    minimum uncertainty states;    sub-Poissonian light;    antibunching;   

DOI  :  10.3390/sym7021017

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland