TY - JOUR
T1 - Multiphoton supercoherent states
AU - Díaz-Bautista, Erik
AU - Fernández C, David J.
N1 - Publisher Copyright:
© 2019, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2019/2/1
Y1 - 2019/2/1
N2 - In this paper we are going to build the multiphoton supercoherent states for the supersymmetric harmonic oscillator as eigenstates of the m -th power of a special form (but still with a free parameter) of the Kornbluth-Zipman supersymmetric annihilation operator. They become expressed in terms of the multiphoton coherent states for the standard harmonic oscillator. The Heisenberg uncertainty relation and some statistical properties for these states will be studied. Since the multiphoton supercoherent states turn out to be periodic, then the associated geometric phases will be as well evaluated.
AB - In this paper we are going to build the multiphoton supercoherent states for the supersymmetric harmonic oscillator as eigenstates of the m -th power of a special form (but still with a free parameter) of the Kornbluth-Zipman supersymmetric annihilation operator. They become expressed in terms of the multiphoton coherent states for the standard harmonic oscillator. The Heisenberg uncertainty relation and some statistical properties for these states will be studied. Since the multiphoton supercoherent states turn out to be periodic, then the associated geometric phases will be as well evaluated.
UR - http://www.scopus.com/inward/record.url?scp=85061492819&partnerID=8YFLogxK
U2 - 10.1140/epjp/i2019-12423-7
DO - 10.1140/epjp/i2019-12423-7
M3 - Artículo
AN - SCOPUS:85061492819
SN - 2190-5444
VL - 134
JO - European Physical Journal Plus
JF - European Physical Journal Plus
IS - 2
M1 - 61
ER -