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Macroscopic Zeno effect and stationary flows in nonlinear waveguides with localized dissipation
D A Zezyulin1, V V Konotop, G Barontini
1Centro de Física Teórica e Computacional, Faculdade de Ciências, Universidade de Lisboa, Avenida Professor Gama Pinto 2, Lisboa 1649-003, Portugal.
Physical Review Letters
|October 4, 2012
Summary
We demonstrate the macroscopic Zeno effect in nonlinear waveguides with dissipation. Stable flows emerge, showing a nonmonotonic dependence on dissipation strength, crucial for observation.
Area of Science:
- Nonlinear optics
- Condensed matter physics
- Quantum optics
Background:
- The Zeno effect typically describes quantum systems prevented from evolving by frequent measurements.
- Nonlinear systems and localized dissipation introduce unique dynamics.
- Understanding macroscopic quantum phenomena is key to novel applications.
Purpose of the Study:
- To theoretically demonstrate the macroscopic Zeno effect in nonlinear waveguides with localized dissipation.
- To explore the conditions for stable stationary flows in dissipative systems.
- To analyze the influence of dissipation parameters on the Zeno effect manifestation.
Main Methods:
- Theoretical modeling of nonlinear waveguide dynamics.
- Analysis of stationary flow solutions in the presence of localized losses.
- Investigation of the dependence of flow properties on dissipation strength.
Main Results:
- Existence of stable stationary flows balanced by localized losses.
- Observation of the macroscopic Zeno effect through nonmonotonic flow dependence on dissipation.
- Identification of critical dissipation parameters for observing the phenomenon.
Conclusions:
- The macroscopic Zeno effect is theoretically possible in nonlinear dissipative systems.
- Localized dissipation plays a crucial role in stabilizing flows and enabling the Zeno effect.
- Findings are applicable to diverse systems like Bose-Einstein condensates and optical waveguides.
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