Quantum dynamics and statistics of two coupled down-conversion processes

Mišta, Ladislav; Herec, Jiri; Jelinek, Viktor; Řeháček, J.; Peřina, Jan

doi:10.1088/1464-4266/2/6/304

Cited by 15 publications

(14 citation statements)

References 21 publications

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“…This flexibility to switch between the quantum Zeno and anti-Zeno effects was not observed in earlier studies on quantum Zeno and anti-Zeno effects in optical couplers. 23,24,26 Further, the effects of change in linear coupling and phase mismatch on the spatial variation of the Zeno parameter are also illustrated.…”

Section: Resultsmentioning

confidence: 99%

“…21 These facts motivated the study of Zeno effect in macroscopic systems, 22 too. Quantum Zeno and anti-Zeno effects in the nonlinear optical couplers have been studied in the recent past [23][24][25][26] by considering that one of the mode in the nonlinear waveguide is coupled with the auxiliary mode in a linear waveguide, and the auxiliary linear mode acts as a probe (continuous observation) on the evolution of the system (nonlinear waveguide) and changes the photon statistics of the other modes of the nonlinear *tkishore36@yahoo.com waveguide, which are not coupled with the probe. This kind of continuous interaction with an external system is equivalent to the original inhibition or enhancement of evolution of the system on continuous measurement as measurement is strong coupling with a measuring device.…”

Section: Introductionmentioning

confidence: 99%

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Quantum Zeno and anti-Zeno effects in an asymmetric nonlinear optical coupler

Thapliyal

Pathak

2015

SPIE Proceedings

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Quantum Zeno and anti-Zeno eects in an asymmetric nonlinear optical coupler are studied. The asymmetric nonlinear optical coupler is composed of a linear waveguide (χ (1) ) and a nonlinear waveguide (χ (2) ) interacting with each other through the evanescent waves. The nonlinear waveguide has quadratic nonlinearity and it operates under second harmonic generation. A completely quantum mechanical description is used to describe the system. The closed form analytic solutions of Heisenberg's equations of motion for the dierent eld modes are obtained using Sen-Mandal perturbative approach. In the coupler, the linear waveguide acts as a probe on the system (nonlinear waveguide). The eect of the presence of the probe (linear waveguide) on the photon statistics of the second harmonic mode of the system is considered as quantum Zeno and anti-Zeno eects. Further, it is also shown that in the stimulated case, it is easy to switch between quantum Zeno and anti-Zeno eects just by controlling the phase of the second harmonic mode of the asymmetric coupler.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantum Zeno and anti-Zeno effects in an asymmetric nonlinear optical coupler

Thapliyal

Pathak

2015

SPIE Proceedings

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“…The ZWM experiment has also inspired new mathematical methods for describing SPDC processes [27][28][29], has been used for experimentally falsifying certain variations of de Broglie's deterministic pilot wave interpretation of quantum mechanics [30], and has inspired proposals to detect effects in quantum cosmology [31].…”

Section: B Brief Theoretical Analysismentioning

confidence: 99%

Quantum Indistinguishability by Path Identity: The awakening of a sleeping beauty

Hochrainer,

Lahiri,

Erhard

et al. 2021

Preprint

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Two photon-pair creation processes can be arranged such that the paths of the emitted photons are identical. Thereby the path information is not erased but is never born in the first place. In addition to its implications for fundamental physics, this concept has recently led to a series of discoveries in the fields of imaging, spectroscopy, and quantum information science. Here we present the idea of path identity and provide a comprehensive review of the recent developments.

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“…The linear part of the Hamiltonian obeys the resonance condition so that the phase mismatch must be property of another operator, i. e., the linear part of the momentum operator. The total momentum operator appropriate for the description of the coupler reads (4) where Xj is the nonlinear coupling constant in waveguide j = 1,2 and i, ice, i'c stand for linear coupling constants between the pump, signal, and idler modes. The symbol k3 denotes the wave vector of the jth mode along the z axis.…”

Section: Quantum Dynamicsmentioning

confidence: 99%