Photon Counting Probabilities in Quantum Optics

Srinivas, M.; Davies, E. B.

doi:10.1080/713820643

Cited by 307 publications

(244 citation statements)

References 22 publications

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“…Srinivas and Davies [10] (3.23) The "in" subscript here indicates that the laser regime being considered is that which minimizes the intensity fluctuations "in" the cavity, rather than in the output.…”

Section: (22)mentioning

confidence: 99%

“…II we present a quantum theory of a feedbackcontrolled cavity field. This is a quantum generalization of the theory of self-exciting point processes [8,9], combined with a general theory of quantum counting given by Srinvivas and Davies [10]. The essential result is a master equation for the intracavity field, which describes multiple photon absorption to all orders.…”

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confidence: 99%

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Reduction in laser-intensity fluctuations by a feedback-controlled output mirror

Wiseman

Milburn

1992

Phys. Rev. A

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We present the theory of a laser in which the transmittivity of one output mirror is controlled by a current derived from a photodetector illuminated by the output light from that end of the cavity. That is, one output port of the laser is controlled by a feedback loop. We calculate the photon statistics inside the cavity. We also calculate the spectrum of intensity fluctuations for the light leaving the cavity through the output mirror not controlled by feedback. We show that intensity fluctuations inside the cavity may be reduced to 50% below the Poissonian limit while outside the cavity the reduction is at best 25% of the shot-noise limit. These optimum results, however, are not achieved under the same operating conditions. PACS number(s): 42.50. Dv, 42.50.Ar, 42.50.Lo, 42.60.Mi

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Section: (22)mentioning

confidence: 99%

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confidence: 99%

Reduction in laser-intensity fluctuations by a feedback-controlled output mirror

Wiseman

Milburn

1992

Phys. Rev. A

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“…Usually in quantum mechanics only instantaneous measurements are considered, but by using the notion of instrument [1]- [3] also measurements continuous in time were consistently introduced [2,4]- [15] and applications worked out [2,7,9,12,16]- [19]; see also [20,23]. Now a natural question is: if during a continuous measurement a certain trajectory of the measured observable is registered, what is the state of the system soon after, conditioned upon this information (the "a posteriori" state)?…”

Section: Introductionmentioning

confidence: 99%

Measurements continuous in time and a posteriori states in quantum mechanics

Barchielli¹,

Belavkin²

1991

J. Phys. A: Math. Gen.

282

283

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Measurements continuous in time were consistently introduced in quantum mechanics and applications worked out, mainly in quantum optics. In this context a quantum filtering theory has been developed giving the reduced state after the measurement when a certain trajectory of the measured observables is registered (the a posteriori states). In this paper a new derivation of filtering equations is presented, in the cases of counting processes and of measurement processes of diffusive type. It is also shown that the equation for the a posteriori dynamics in the diffusive case can be obtained, by a suitable limit, from that one in the counting case. Moreover, the paper is intended to clarify the meaning of the various concepts involved and to discuss the connections among them. As an illustration of the theory, simple models are worked out.

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“…Coherence functions, Q-and P-distributions, phase detection are usually constructed form measured data of homodyne, heterodyne and indirect measurements [3][4][5]. The most simple existed schemas suggest direct measurement of photon counting rate [6] which allows one to estimate statistics for the photon number operator and reveal coherent properties of the field quantum state such as bunching and anti-bunching.…”

Section: Introductionmentioning

confidence: 99%

Quantum measurement of photon distribution statistics for intra-cavity EM field monitored by dumping atom-pointer

Trifanov¹,

Trifanova²

2017

Nanosystems: Phys. Chem. Math.

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We describe and theoretically study a process of photon distribution statistics measurement for intra-cavity mode of EM field monitored by indirect photo-detection scheme. In particular, we investigate photon number distribution and Mandel's parameter (normalized dispersion) of the mode using statistics of atomic state detector clicks. In our model, a two-level atom-pointer which passes through the cavity interacts with the mode and environment, distorting the measured statistical properties of the mode. To account for this, phase distortion (decoherece) and population relaxation are introduced in the model. In this paper, we use the super-operators approach to intra-cavity mode evolution conditioned by atomic state detector clicks.

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Photon Counting Probabilities in Quantum Optics

Cited by 307 publications

References 22 publications

Reduction in laser-intensity fluctuations by a feedback-controlled output mirror

Reduction in laser-intensity fluctuations by a feedback-controlled output mirror

Measurements continuous in time and a posteriori states in quantum mechanics

Quantum measurement of photon distribution statistics for intra-cavity EM field monitored by dumping atom-pointer

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