Squeezed states in a multiphoton absorption process

Zubairy, M. Suhail; Razmi, M. S. K.; Iqbal, Saleem; Idress, M.

doi:10.1016/0375-9601(83)90575-3

Cited by 29 publications

(14 citation statements)

References 14 publications

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“…In what follows we concentrate on the quantities 2 is dependent on these quantities through the equation…”

Section: Intensity-dependent Two-atom Two-mode Two-photon Jaynes-mentioning

confidence: 99%

“…To analyze the statistical properties of the field modes, we need to calculate the second-order correlation function G (2) ij (t) =…”

Section: Field Statisticsmentioning

confidence: 99%

“…The correlation functions G (2) 11 (t) and G (2) 22 (t) characterize the second-order coherence in modes 1 and 2, respectively, whereas G (2) 12 (t) corresponds to intermode correlation. The second-order correlation functions G (2) ii can be represented as G (2) ii (t) = 1 +…”

Section: Field Statisticsmentioning

confidence: 99%

“…Two-photon processes are of considerable importance in quantum optics due to the high degree of correlation between the emitted photons. This correlation may lead to the generation of nonclassical states of the electromagnetic field, such as squeezed states [1,2] and states which may violate other classical inequalities [3]. With the successful operation of a single-mode two-photon maser in a high-Q cavity [4], the discussion of the nondegenerate two-photon Jaynes-Cummings models has acquired added importance.…”

Section: Introductionmentioning

confidence: 99%

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Dynamics for two atoms interacting with intensity-dependent two-mode quantized cavity fields in the ladder configuration

2012

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Exact solutions are obtained for a collective model of two identical two-level atoms interacting with a quantized bimodal field with intensity-dependent coupling terms in a lossless cavity. A unitary transformation method is used to solve the time-dependent problem that also gives the eigensolutions of the interaction Hamiltonian. The atomic population dynamics and the dynamics of the photon statistics of the two cavity modes are studied. We present evidence of cooperative effects.

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“…In what follows we concentrate on the quantities 2 is dependent on these quantities through the equation…”

Section: Intensity-dependent Two-atom Two-mode Two-photon Jaynes-mentioning

confidence: 99%

“…To analyze the statistical properties of the field modes, we need to calculate the second-order correlation function G (2) ij (t) =…”

Section: Field Statisticsmentioning

confidence: 99%

Section: Field Statisticsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamics for two atoms interacting with intensity-dependent two-mode quantized cavity fields in the ladder configuration

2012

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“…Analyzing the light outside the exciting laser beam we therefore find 11 ' 12 E^rt ) (r,Ol^> illi tud = 0 f (5) where |ty) initial is the initial state vector.…”

Section: (3)mentioning

confidence: 99%

Squeezing Pattern in Resonance Fluorescence from a RegularN-Atom System

Vogel

Welsch

1985

Phys. Rev. Lett.

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It is shown that a squeezing pattern is produced in resonance fluorescence from N atoms distributed at regular positions. The squeezing pattern has twice the periodicity of the ordinary diffraction pattern. Directions in which squeezed coherent states are observed alternate with directions in which squeezed vacuum states occur. The squeezing effect is N times stronger than in resonance fluorescence from a single atom. For some years the problem of producing and observing squeezed states of light has been a subject of increasing interest in quantum optics research. Because of the reduced fluctuations in one quadrature component of the electric field the application of squeezed states in optical communication systems and gravitational-wave detection offers new possibilities. 1 In particular, for interferometric detection of the gravitational waves squeezed vacuum states are needed. 2 However, squeezed states predicted to be generated in nonlinear optical processes, such as four-wave mixing 3 and multiphoton absorption, 4,5 exhibit substantial coherent amplitudes. Even the squeezing effect in resonance fluorescence from a single atom is connected with the occurrence of a nonvanishing coherent amplitude of the scattered light. 6 " 8 Squeezed vacuum states have therefore been proposed to be produced by interference of squeezed coherent states. 9 The effect of squeezing in resonance fluorescence from a single atom driven by coherent light was first predicted by Walls and Zoller. 6 Clearly, this microscopic source of light can hardly be used for practical applications. On the other hand, in the macroscopic case when a large number of atoms contribute to the fluorescent light the effect of squeezing is lost if the atoms are distributed at random positions since there are no well-defined phase relations between the coherently scattered light parts from different atoms. 7,8 In the present Letter we will show that, similar to the ordinary diffraction pattern, a squeezing pattern is produced in resonance fluorescence from many regularly distributed atoms. The directions in which squeezing is observed coincide with the directions of the maxima and minima of the coherent light amplitude. Thus, the resonance fluorescence from TV atoms distributed at regular positions represents a macroscopic light source producing squeezed coherent states and squeezed vacuum states simultaneously.Let us consider a multimode light field, the operator of the electric field strength of which may be written «as EU.O-E^O^+E^Cr,/), (1) where E ( + ) and E (_) = (E^) 1 ", respectively, are the positive-and negative-frequency parts (the caret denotes an operator). The condition for squeezing can be written in terms of the normally ordered variance 1 : <:(AE) 2 :><0(2) in certain space-time intervals. In the case of resonance fluorescence we may write the positivefrequency part of the electric field as 10 where R~+ }(3) f ree and Es C at , respectively, represent the free-field operator and the operator of the field produced by the atomic system. If th...

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Squeezed States of Light in the Second and Third Harmonic Generated by Self‐Squeezed Light

Kielich

Piątek

1993

Advances in Chemical Physics

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Squeezed states in a multiphoton absorption process

Cited by 29 publications

References 14 publications

Dynamics for two atoms interacting with intensity-dependent two-mode quantized cavity fields in the ladder configuration

Dynamics for two atoms interacting with intensity-dependent two-mode quantized cavity fields in the ladder configuration

Squeezing Pattern in Resonance Fluorescence from a RegularN-Atom System

Squeezed States of Light in the Second and Third Harmonic Generated by Self‐Squeezed Light

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