Generation and dynamics of crystallised-type states of light within the Tavis-Cummings model

O. Casta˜ños (), S. Cordero, E. Nahmad-Achar and R. López-Pe˜ña
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O. Casta˜ños: Universidad Nacional Autónoma de México, Instituto de Ciencias Nucleares
S. Cordero: Universidad Nacional Autónoma de México, Instituto de Ciencias Nucleares
E. Nahmad-Achar: Universidad Nacional Autónoma de México, Instituto de Ciencias Nucleares
R. López-Pe˜ña: Universidad Nacional Autónoma de México, Instituto de Ciencias Nucleares

A chapter in Physical and Mathematical Aspects of Symmetries, 2017, pp 119-125 from Springer

Abstract: Abstract A generation of superpositions of photon number operator states within the generalized Tavis-Cummings model (GTC) is proposed, which is independent of the dipolar strengths and of the considered number of atoms. These are obtained by considering a linear combination of states, with total number of excitations M1 and M2, whose corresponding Husimi function for the electromagnetic field exhibits a cyclic point group symmetry Cn, with n = |M2 –M1|, that is, describes a crystallised-type state. Finally we establish that these superpositions under evolution with respect to the GTC Hamiltonian yields a Husimi function that preserves the cyclic point group symmetry.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-69164-0_17

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DOI: 10.1007/978-3-319-69164-0_17

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