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arXiv:1103.4243

Higher-order optical-polarization

Ravi Shankar Singh, Hari Prakash

Published Mar 22, 2011• 2 citations
arXivHTMLPDF

Abstract

Polarization properties of optical field in Schrödinger Cat states or Even- or Odd-Coherent states are investigated by generalizing usual concept of optical-polarization to render the concept of Higher-order optical-polarization. It is observed that Higher-order optical-polarization is a basis-dependent property of optical field.
DOI
10.48550/arxiv.1103.4243

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There has been a lot of interest recently in what are referred to as Schrodinger cat states. No precise formulation of the concepts of Schrodinger cat states and classical distinguishability appears to exist. This paper aims to explore these concepts. A number of illustrative examples are presented, including a perturbed harmonic oscillator admitting coherent states with time-dependent amplitude modulation. One can convert the results on harmonic oscillators to single-mode optical systems in the standard manner. It would be interesting to see an experimental realization of these amplitude-modulated coherent states.
Higher-generation Schrödinger cat states of the quantized electromagnetic field can be produced in a high-Q cavity, starting from a coherent state, through the passage of prepared Rydberg atoms interacting dispersively across it. These states are natural generalizations of the even and odd coherent states, the N th-generations corresponding to specific superpositions of 2 N states on a circle in phase space with well defined parity, and present very peculiar properties. Their photon statistics interchange between super- and sub-Poissonian behaviours and the nature of the photon bunching oscillates as the field intensity in the cavity is varied. For higher-generation even states, the minimum value of the Mandel factor almost reaches −1.0 and the state represents the Fock state |2 N ). Squeezing properties and the Wigner function of these higher-generation Schrödinger cat states are also considered.