Quantum Zeno effect in two coupled nonlinear optical processes

Chirkin, A. S.; Родионов, А. В.

doi:10.1007/s10946-005-0008-2

Cited by 5 publications

(1 citation statement)

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“…Quantum Zeno effect in the original formulation refers to the inhibition of the temporal evolution of a system on continuous measurement, [1][2][3] while quantum anti-Zeno or inverse Zeno effect refers to the enhancement of the evolution instead of the inhibition 4 (see 5,6 for reviews on Zeno and anti-Zeno effect). In the last four decades, quantum Zeno effect has been studied in different physical systems, such as two coupled nonlinear optical processes, 7 parametric down-conversion 8 and cascaded parametric down-conversion with losses. 9 Similarly, quantum anti-Zeno effect is also reported in various physical systems.…”

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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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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