A proposal for experimental detection of amplitude nth-power squeezing

Abstract

Recently, in several theoretical investigations, amplitude nth-power squeezing has been studied with n = 2, 3, 4, 5. In the present paper, we give a proposal for experimental detection of amplitude nth-power squeezing using ordinary homodyning with coherent light for arbitrary power n and discuss in detail its theory. The proposed scheme requires only repeated measurements of the factorial moments of number of photons in the light obtained after homodyning, with various shifts of phase of coherent light, and involves no approximations, whatsoever. This has advantage over the method proposed by Shchukin and Vogel [Phys. Rev. A 72, 043808 (2005)] in that our method requires only one beam splitter and only one photodetector, and also lesser number of repeatitions of experiment with phase-shifted coherent light.

Squeezing, Sub-Poissonian and Total Noise in Degenerate Six-Wave Mixing Process

“…Using (25) and (40), the statistics of fundamental mode in degenerate six-wave mixing is found to be sub-Poissonian, as…”

“…Recently, Prakash * corresponding author; e-mail: binodvlsi@gmail.com and Mishra [38,39] have reported the higher-order sub-Poissonian photon statistics and their use in detection higher-order squeezing. A proposal for experimental detection of amplitude n-th-power squeezing has been given by Prakash and Yadav [40]. The concept of total noise of a quantum state was introduced by Schumaker [41] in pure states and pointed out that the total noise is always greater than or equal to a half and reaches this value only for coherent state.…”

Nonclassical properties of coherent light in a pair of coupled anharmonic oscillators

“…With the experimental observation of higher order moments available in the literature [36,37], the idea of higher (beyond quadratic in field quadrature) order squeezing is no more an abstract idea. By using the homodyne technique, a proposal for realizing the higher-ordered amplitude squeezing is available in the literature as well [38]. The idea of higher order squeezing originated from the work of Hong and Mandel [39] who generalized the concept of normal squeezing.…”

Enhancement of the Hong-Mandel Higher-Order Squeezing and Amplitude Odd-Power Squeezing in Even Coherent State by its Superposition with Vacuum State

“…This definition of squeezing has been generalized to case of several variables [10][11][12][13]. Hong and Mandel [10] introduced the concept of higher-order squeezing by considering the 2n th order moments of the quadrature component and defined a state to be 2n th order squeezed if the expectation value of the 2n th power of the difference between a field quadrature and its average value is less than what it would be in a * corresponding author; e-mail: pankaj_k25@rediffmail.com coherent state.…”