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Journal of Qufu Normal University

Squeezing State of Anti-ferromagnetic Raman Scattering

LV Xiu-juan

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

Many non-classical states have been found in the field of quantum mechanics, among which is the squeezing state. In general, according to the requirements of the uncertainty principle, a squeezed state may have lower quantum fluctuation in one quadrature than that in a coherent state, while another quadrature is greater than that of a coherent state. The idea of the squeezing states can be used to reduce quantum noise in measuring high precise signal. In this paper, the authors discussed the effect of temperature on the quantum fluctuations in the second-order Raman scattering. The domain of temperature is obtained, which satisfies the conditions of generating squeezed states.

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Squeezing of radiation in nonlinear optical processes

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Complement 5A: Squeezed states of light: the reduction of quantum fluctuations

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We showed in Section 5.2 of the present chapter that according to quantum theory the value of the electric field of an electromagnetic wave could not be predicted to arbitrarily high precision, this being a consequence of the uncertainty relation satisfied by the two quadrature components of the field (Equation 5.32), which imposed a finite limit on the product of their variances. This limit is more than an abstract theoretical limit; it is often the overriding factor determining the resolution of high-precision optical measurements. In such situations measurements by photodetectors on the field exhibit uncontrollable fluctuations of quantum origin known as quantum noise . Fortunately, as we shall show in this complement, it is possible to overcome this by using non-classical states of the radiation field, namely the squeezed states , provided measurements are made of a single one of a pair of conjugate field variables. A field mode prepared in such a state exhibits reduced quantum noise in one of the variables at the expense of increased noise in the other, so that the uncertainty relation involving their variances is still satisfied. The potential of such states for increasing the obtainable precision of optical measurements is self-evident. However, the practical realization of the potential benefits requires delicate experimental techniques that we describe only briefly here.

Cambridge University Press eBooks•Sep 2, 2010•0 citations
Many non-classical states have been found in the field of quantum mechanics, among which is the squeezing state. In general, according to the requirements of the uncertainty principle, a squeezed state may have lower quantum fluctuation in one quadrature than that in a coherent state, while another quadrature is greater than that of a coherent state. The idea of the squeezing states can be used to reduce quantum noise in measuring high precise signal. In this paper, the authors discussed the effect of temperature on the quantum fluctuations in the second-order Raman scattering. The domain of temperature is obtained, which satisfies the conditions of generating squeezed states.
We study squeezed states of phonons, which allow a reduction in the quantum fluctuations of the atomic displacements to below the zero-point quantum noise level of coherent phonon states. We investigate the generation of squeezed phonon states using a second-order Raman scattering process. We calculate the expectation values and fluctuations of both the atomic displacement and the lattice amplitude operators, as well as the effects of the phonon squeezed states on macroscopically measurable quantities, such as changes in the dielectric constant. These results are compared with recent experiments.
Enhanced Raman scattering can be obtained by the initially prepared atomic spin excitation, or by injecting a seeded light field which is correlated with the initially prepared atomic spin excitation. This paper theoretically calculated the quantum fluctuations of the quadrature components of the two-mode photon-atom quantum interface and found that the enhanced Raman scattering based on coherence can improve the initial photon-atom squeezing slightly in a certain scope, and correlation-enhanced Raman scattering can produce strong two-mode squeezing of photon-atom. Such a strong two-mode squeezed state at the photon-atom interface has very important applications in precision measurement research based on the light field and atomic system.
By making use of thermo-field dynamics(TFD),higher-order fluctuations and higher-order squeezing of quadrature components for coherent states and squeezed states with thermal noise have been studied.The higher-order fluctuations of the phase for these thermalized states have been investigated using the concept of measured phase operators.Thus the dependence of the lower-and higher-order fluctuations and squeezing on temperature in these states at finite temperature can be seen.It is significant to discuss the effect of temperature on the fluctuations and squeezing,since the states of real field are always at finite temperatures.
Abstract By making use of thermo field dynamics(TFD),higher order fluctuations and higher order squeezing of quadrature components for coherent states and squeezed states with thermal noise have been studied.The higher order fluctuations of the phase for these thermalized states have been investigated using the concept of measured phase operators.Thus the dependence of the lower and higher order fluctuations and squeezing on temperature in these states at finite temperature can be seen.It is significant to discuss the effect of temperature on the fluctuations and squeezing,since the states of real field are always at finite temperatures.
Squeezing of radiation is a purely quantum mechanical phenomenon which has no classical counterpart. This quantum effect is expected to manifest itself in optical processes in which the nonlinear response of the system to the radiation field plays an important role. The concept of squeezing started in mid 1980s. Since then there has been an enormous upsurge of interest in this field owing to its low noise property. In the present paper various aspects of squeezing of radiation are studied and possible means of generation of squeezed light in which the quantum fluctuations are reduced below shot noise limit are investigated. The amplitude of the electric field of a mode of an electromagnetic field is always associated with quantum mechanical fluctuations. Squeezing states are characterised by reduced quantum fluctuations in one quadrature component of the field at the expense of increased fluctuations in the other noncommuting component. A fully quantum mechanical approach is followed. In the present paper we intend to review different aspects of squeezing and higher order squeezing in higher order Raman processes as well as in multiwave mixing processes. A comparative study between different processes are made which will pave a way for easier generation of squeezed light.
We showed in Section 5.2 of the present chapter that according to quantum theory the value of the electric field of an electromagnetic wave could not be predicted to arbitrarily high precision, this being a consequence of the uncertainty relation satisfied by the two quadrature components of the field (Equation 5.32), which imposed a finite limit on the product of their variances. This limit is more than an abstract theoretical limit; it is often the overriding factor determining the resolution of high-precision optical measurements. In such situations measurements by photodetectors on the field exhibit uncontrollable fluctuations of quantum origin known as quantum noise . Fortunately, as we shall show in this complement, it is possible to overcome this by using non-classical states of the radiation field, namely the squeezed states , provided measurements are made of a single one of a pair of conjugate field variables. A field mode prepared in such a state exhibits reduced quantum noise in one of the variables at the expense of increased noise in the other, so that the uncertainty relation involving their variances is still satisfied. The potential of such states for increasing the obtainable precision of optical measurements is self-evident. However, the practical realization of the potential benefits requires delicate experimental techniques that we describe only briefly here.