Archivio Istituzionale della RicercaWe define k’-photon uncertainties ΔX(k’),ΔP(k’) in k-photon states, and show that all such calculations can be correlated using a fractional photon index r≡k’/k. We exemplify by choosing as k-photon states the coherent states of the k-photon generalized harmonic oscillator, and also the group-theoretic coherent states corresponding to Holstein-Primakoff realizations of SU(2) and SU(1,1). We compute the squeezing obtained in these cases, and show that they have a common limit.
Squeezed and coherent states of fractional photons / J., Katriel; Rasetti, Mario; A. I., Solomon. - In: PHYSICAL REVIEW D. - ISSN 0556-2821. - 35:4(1987), pp. 1248-1254. [10.1103/PhysRevD.35.1248]
Squeezed and coherent states of fractional photons
RASETTI, Mario;
1987
Abstract
We define k’-photon uncertainties ΔX(k’),ΔP(k’) in k-photon states, and show that all such calculations can be correlated using a fractional photon index r≡k’/k. We exemplify by choosing as k-photon states the coherent states of the k-photon generalized harmonic oscillator, and also the group-theoretic coherent states corresponding to Holstein-Primakoff realizations of SU(2) and SU(1,1). We compute the squeezing obtained in these cases, and show that they have a common limit.
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https://hdl.handle.net/11583/1847090
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