Schrödinger uncertainty relation and squeezed state

Rao, Qin; Xie, Rui Hua

doi:10.1016/s0378-4371(00)00083-2

Cited by 3 publications

(3 citation statements)

References 15 publications

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“…Squeezed states [1,21,22] are distinguished by the property that the quantum fluctuations in a dynamical observable may be reduced below the standard quantum noise limit at the expense of increased fluctuations in its canonical conjugated variable without violating the Heisenberg uncertain relation. Since the first observation of squeezed states of light, the generation of squeezed states has been the subject of an intense theoretical and experimental activity [1,[23][24][25]. The study of these states provides a fundamental understanding of quantum fluctuations and opens a way for new schemes [1,[23][24][25] of quantum communication or imaging beating the standard quantum noise limit.…”

Section: Definition Of Atomic Dipole Squeezingmentioning

confidence: 99%

“…Since the first observation of squeezed states of light, the generation of squeezed states has been the subject of an intense theoretical and experimental activity [1,[23][24][25]. The study of these states provides a fundamental understanding of quantum fluctuations and opens a way for new schemes [1,[23][24][25] of quantum communication or imaging beating the standard quantum noise limit. It has been predicted that a number of physical systems [1,[23][24][25][26][27]] (e.g., four-wave mixing, two-photon laser, parametric amplifiers and Raman scattering) can generate squeezed states of the radiation field.…”

Section: Definition Of Atomic Dipole Squeezingmentioning

confidence: 99%

“…The study of these states provides a fundamental understanding of quantum fluctuations and opens a way for new schemes [1,[23][24][25] of quantum communication or imaging beating the standard quantum noise limit. It has been predicted that a number of physical systems [1,[23][24][25][26][27]] (e.g., four-wave mixing, two-photon laser, parametric amplifiers and Raman scattering) can generate squeezed states of the radiation field. Also, it is known that atomic dipole squeezing (ADS) [16] could be generated through many kinds of nonlinear optical processes [16,[28][29][30][31], such as resonance fluorescence, cooperative Dicke system, Rydberg atom maser, and so on.…”

Section: Definition Of Atomic Dipole Squeezingmentioning

confidence: 99%

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Generation of dipole squeezing in a two-mode system with entangled coherent states of a quantized electromagnetic field

Rao

Xie

2003

Physica A: Statistical Mechanics and its Applications

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Two-mode quantized electromagnetic fields can be entangled and admit a large number of coherent states. In this paper, we consider a two-mode system that consists of a two-level atom interacting with a two-mode quantized electromagnetic field, which is initially prepared in an entangled two-mode coherent state, via a nondegenerate two-photon process in a lossless cavity.We study the quantum fluctuations in the two-mode system and investigate in detail the effects of detuning, Stark shift and atomic coherence on atomic dipole squeezing (ADS). We show that ADS strongly depends on the atomic coherence. It is found that the stronger the correlations between the two modes are involved, the more the ADS could be generated. The detuning or Stark shift has a destructive effect on ADS, but the combined effect of the detuning and Stark shift may lead to a regular, periodical and strong ADS pattern.

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Section: Definition Of Atomic Dipole Squeezingmentioning

confidence: 99%

Section: Definition Of Atomic Dipole Squeezingmentioning

confidence: 99%

Section: Definition Of Atomic Dipole Squeezingmentioning

confidence: 99%

See 1 more Smart Citation

Generation of dipole squeezing in a two-mode system with entangled coherent states of a quantized electromagnetic field

Rao

Xie

2003

Physica A: Statistical Mechanics and its Applications

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Generation of higher-order atomic dipole squeezing in a high-Q micromaser cavity. (VI). Atomic damping by a squeezed vacuum

Xie

Rao

2002

Physica A: Statistical Mechanics and its Applications

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Quantum phase distribution and the number phase Wigner function of the generalized squeezed vacuum states associated with solvable quantum systems

2012

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The quantum phase properties of the generalized squeezed vacuum states associated with solvable quantum systems are studied by using the Pegg—Barnett formalism. Then, two nonclassical features, i.e., squeezing in the number and phase operators, as well as the number—phase Wigner function of the generalized squeezed states are investigated. Due to some actual physical situations, the present approach is applied to two classes of generalized squeezed states: solvable quantum systems with discrete spectra and nonlinear squeezed states with particular nonlinear functions. Finally, the time evolution of the nonclassical properties of the considered systems has been numerically investigated.

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Schrödinger uncertainty relation and squeezed state

Cited by 3 publications

References 15 publications

Generation of dipole squeezing in a two-mode system with entangled coherent states of a quantized electromagnetic field

Generation of dipole squeezing in a two-mode system with entangled coherent states of a quantized electromagnetic field

Generation of higher-order atomic dipole squeezing in a high-Q micromaser cavity. (VI). Atomic damping by a squeezed vacuum

Quantum phase distribution and the number phase Wigner function of the generalized squeezed vacuum states associated with solvable quantum systems

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