TY - JOUR
T1 - Polynomial Heisenberg algebras, multiphoton coherent states and geometric phases
AU - Castillo-Celeita, Miguel
AU - Díaz-Bautista, Erik
AU - Fernández, David J.C.
N1 - Publisher Copyright:
© 2019 IOP Publishing Ltd.
PY - 2019/2/1
Y1 - 2019/2/1
N2 - In this paper we will realize the polynomial Heisenberg algebras through the harmonic oscillator. We are going to construct then the Barut-Girardello coherent states, which coincide with the so-called multiphoton coherent states, and we will analyze the corresponding Heisenberg uncertainty relation and Wigner distribution function for some particular cases. We will show that these states are intrinsically quantum and cyclic, with a period being a fraction of the oscillator period. The associated geometric phases will be as well evaluated.
AB - In this paper we will realize the polynomial Heisenberg algebras through the harmonic oscillator. We are going to construct then the Barut-Girardello coherent states, which coincide with the so-called multiphoton coherent states, and we will analyze the corresponding Heisenberg uncertainty relation and Wigner distribution function for some particular cases. We will show that these states are intrinsically quantum and cyclic, with a period being a fraction of the oscillator period. The associated geometric phases will be as well evaluated.
KW - Polynomial Heisenberg algebras
KW - coherent states
KW - geometric phases
KW - multiphoton coherent states
UR - http://www.scopus.com/inward/record.url?scp=85061512196&partnerID=8YFLogxK
U2 - 10.1088/1402-4896/aafc75
DO - 10.1088/1402-4896/aafc75
M3 - Artículo
AN - SCOPUS:85061512196
SN - 0031-8949
VL - 94
JO - Physica Scripta
JF - Physica Scripta
IS - 4
M1 - 045203
ER -