Freezing Optical Rogue Waves by Zeno Dynamics
arXiv:1701.01997 · doi:10.1016/j.optcom.2017.12.051
Abstract
We investigate the Zeno dynamics of the optical rogue waves. Considering their usage in modeling rogue wave dynamics, we analyze the Zeno dynamics of the Akhmediev breathers, Peregrine and Akhmediev-Peregrine soliton solutions of the nonlinear Schrodinger equation. We show that frequent measurements of the wave inhibits its movement in the observation domain for each of these solutions. We analyze the spectra of the rogue waves under Zeno dynamics. We also analyze the effect of observation frequency on the rogue wave profile and on the probability of lingering of the wave in the observation domain. Our results can find potential applications in optics including nonlinear phenomena.
References in corpus (19)
- Protecting entanglement via the quantum Zeno effect
- Quantum Zeno dynamics: mathematical and physical aspects
- Non-exponential decay via tunneling in tight-binding lattices and the optical Zeno effect
- Deterministic generation of multiparticle entanglement by quantum Zeno dynamics
- Deterministic generation of large cluster states using non-deterministic collective measurements based on quantum Zeno effect
- Freezing a Coherent Field Growth in a Cavity by Quantum Zeno Effect
- Rogue waves of the Kundu-Eckhaus equation in a chaotic wave field
- Early Detection of Rogue Waves by the Wavelet Transforms
- Rogue Wave Spectra of the Kundu-Eckhaus Equation
- Deterministic Local Expansion of W States
- Deterministic generation of large scale atomic W states
- A Nonlinear Schrödinger Wave Equation With Linear Quantum Behavior
- Quantum Zeno and Anti-Zeno Effects on the Entanglement Dynamics of Qubits Dissipating into a Common and non-Markovian Environment
- Linear and nonlinear quantum Zeno and anti-Zeno effects in a nonlinear optical coupler
- Compressive Spectral Renormalization Method
- Large-time limit of the quantum Zeno effect
- Early Detection of Rogue Waves Using Compressive Sensing
- An extended Kundu-Eckhaus equation for modeling dynamics of rogue waves in a chaotic wave-current field
- Rogue wavefunctions due to noisy quantum tunneling potentials