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Published on: July 1, 2018
Spatial and temporal structures in cavities with oscillating boundaries.
Nikolay N Rosanov1, George B Sochilin2, Vera D Vinokurova2
1Theoretical Department, Vavilov State Optical Institute, St Petersburg 199053, Russia Laser Optics, ITMO University, St Petersburg 197101, Russia Laboratory of Atomic Radiospectroscopy, Ioffe Physical Technical Institute, St Petersburg 194021, Russia nrosanov@yahoo.com.
This review explores particles, waves, and solitons within dynamical cavities. It covers classical particle dynamics, quantum particle states, and nonlinear structures like optical and Bose-Einstein condensate solitons.
Area of Science:
- Physics
- Quantum Mechanics
- Nonlinear Dynamics
Background:
- Dynamical cavities with oscillating mirrors present unique environments for studying fundamental physical phenomena.
- Understanding particle and wave behavior in such systems is crucial for advancements in quantum technologies and condensed matter physics.
Approach:
- This review examines the dynamics of classical particles in one-dimensional dynamical billiards with non-elastic collisions.
- It analyzes the quasi-energy states of single quantum particles in periodically oscillating potential wells.
- The study investigates nonlinear structures, including nonlinear Rabi oscillations and cavity optical solitons.
Key Points:
- Non-elastic collisions in classical particle dynamics within dynamical billiards are considered.
- Quantum particle behavior, specifically quasi-energy states in oscillating potentials, is analyzed.
- Nonlinear phenomena such as Rabi oscillations and solitons in Bose-Einstein condensates within dynamical systems are explored.
Conclusions:
- Dynamical cavities offer a rich platform for diverse physical phenomena, from classical mechanics to quantum states and nonlinear soliton dynamics.
- The interplay between oscillating boundaries and matter waves leads to complex behaviors relevant to fundamental physics and potential applications.
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