Abstract
Sum squeezing of the field amplitude is studied in the nondegenerate and degenerate frequency upconversion process under the short interaction time. It is shown that sum squeezing can be converted into normal squeezing via sum-frequency generation in the nondegenerate frequency upconversion process, while the amplitude-squared squeezing of the fundamental mode directly changed into the squeezing of the harmonic in the degenerate frequency upconversion process. All reachable conditions of uncorrelated modes for obtaining a sum squeezing in two modes and its dependence on the squeezing of individual field modes are investigated. It is found that the squeezed states are associated with large number of pump photons. It is also confirmed that the higher-order squeezing (sum squeezing) is directly associated with coupling of the field and interaction time.
Highlights
Over the past years, the squeezing [1,2,3,4,5,6] in quantized electromagnetic fields has received a great deal of attention because of its wide applications in many branches of science and technology, especially for low quantum fluctuations [7,8,9] having potential application in optical telecommunication [10], quantum cryptography [11, 12], and others
E steady fall of the curves infers that the sum squeezing exists and responses nonlinearly to the number of pump photons. It shows that when |α|2 increases, the degree of sum squeezing increases, i.e., SS is getting more negative. is confirms that the squeezed states are associated with large number of pump photons. It confirms that the higher-order squeezing is directly associated with the coupling of the field and interaction time
Optimum squeezing can be realized in short-time scale
Summary
The squeezing [1,2,3,4,5,6] in quantized electromagnetic fields has received a great deal of attention because of its wide applications in many branches of science and technology, especially for low quantum fluctuations [7,8,9] having potential application in optical telecommunication [10], quantum cryptography [11, 12], and others. Prakash and Mishra [32, 33] have reported the higher-order sub-Poissonian photon statistics and their use in detection of Hong and Mandel squeezing and amplitude-squared squeezing. Another type of seminal paper on higher-order squeezing, called sum and difference squeezing, was proposed by Hillery [34] for the two modes which are the simplest versions of multimode higher-order squeezing. E objective of this paper is to study the sum squeezing in the nondegenerate and degenerate frequency upconversion process under the short-time scale based on a fully quantum approach It is a higher-order squeezing of the radiation field to achieve significantly larger quantum noise reduction.
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