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arXiv:quant-ph/0608189 · Physics Letters A

Squeezing in multi-mode nonlinear optical state truncation

Ressa S. Said, Mohamed Ridza Wahiddin, Bakhram Umarov

Published Feb 8, 2007• 8 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2007.01.042

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The theory of proof-of-principle triple-mode squeezing is proposed via spontaneous parametric six-wave mixing process in an atomic-cavity coupled system. Special attention is focused on the role of dressed state and nonlinear gain on triple-mode squeezing process. Using the dressed state theory, we find that optical squeezing and Autler-Towns splitting of cavity mode can be realized with nonlinear gain, while the efficiency and the location of maximum squeezing point can be effectively shaped by dressed state in atomic ensemble. Our proposal can find applications in multi-channel communication and multi-channel quantum imaging.
Abstract We report the control of the dressed state in three-mode optical entanglement in an N-type four-level system using two cascaded parametric amplification four-wave mixing steps inside an atom-like optical cavity and injected by thermal optical fields: a coherent field and the Einstein–Podolsky–Rosen field. First, cavity dressing results in Aulter–Towns-like (AT-like peak) anti-squeezing. And the three-cavity dressing interaction induces multi-AT-like peaks. Meanwhile, the cavity enhanced nonlinear gain results in one squeezing dip polariton. In addition, the coupling of three enhanced nonlinear gains brings about multi-dip squeezing. Second, as two nonlinear coefficients change, the nonlinear phase makes the squeezing profile (in phase, amplification) turn into an anti-squeezing profile due to nonlinear loss (out of phase, de-amplification). Finally, the squeezing profile can also be modified by field dressing (AT splitting, enhancement and suppression), and the squeezing degree is affected by injection fields. Thus, by judging the squeezing of three nonseparability criteria, we get three-mode optical entanglement.
The property of N-th power X-squeezing in a kind of intensity asymmetrical multi mode superposition state light field with the superposition of distinguishable two quantum state is firstly studied in detail by using of the general theory of generalized nonlinear difference squeezing in multi mode radiation field. It is found that the kind of multi mode superposition state light field mentioned above presents generalized nonlinear difference-squeezing effect (that is N-th power X-squeezing effect) that changes periodically if some conditions are satisfied respectively by the initial phase of each mode, or by the initial phase difference between the two components, or by photons of each mode, or by squeezing power. By further analysis demonstrate, it is demonstrated that the properties of N-th power X-squeezing in the first and second kind of multi mode superposition state light field are only particular examples of the discussion in this paper under certain conditions.