Accessing and Manipulating Dispersive Shock Waves in a Nonlinear and Nonlocal Rydberg Medium
arXiv:2210.10614 · doi:10.1103/PhysRevA.107.033503
Abstract
Dispersive shock waves (DSWs) are fascinating wave phenomena occurring in media when nonlinearity overwhelms dispersion (or diffraction). Creating DSWs with low generation power and realizing their active controls is desirable but remains a longstanding challenge. Here, we propose a scheme to generate weak-light DSWs and realize their manipulations in an atomic gas involving strongly interacting Rydberg states under the condition of electromagnetically induced transparency (EIT). We show that for a two-dimensional (2D) Rydberg gas a weak nonlocality of optical Kerr nonlinearity can significantly change the edge speed of DSWs and induces a singular behavior of the edge speed and hence an instability of the DSWs. However, by increasing the degree of the Kerr nonlocality, the singular behavior of the edge speed and the instability of the DSWs can be suppressed. We also show that in a 3D Rydberg gas, DSWs can be created and propagate stably when the system works in the intermediate nonlocality regime. Due to the EIT effect and the giant nonlocal Kerr nonlinearity contributed by the Rydberg-Rydberg interaction, DSWs found here have extremely low generation power. In addition, an active control of DSWs can be realized; in particular, they can be stored and retrieved with high efficiency and fidelity through switching off and on a control laser field. The results reported here are useful not only for unveiling intriguing physics of DSWs but also for finding promising applications of nonlinear and nonlocal Rydberg media.
20 pages, 13 figures
References in corpus (18)
- Universal Approach to Optimal Photon Storage in Atomic Media
- On Dispersive and Classical Shock Waves in Bose-Einstein Condensates and Gas Dynamics
- Storage and control of optical photons using Rydberg polaritons
- Shocks in nonlocal media
- Coherent Optical Memory with High Storage Efficiency and Large Fractional Delay
- Enhanced metrology at the critical point of a many-body Rydberg atomic system
- Storing images in warm atomic vapor
- Observation of a gradient catastrophe generating solitons
- Formation of Quantum Shock Waves by Merging and Splitting Bose-Einstein Condensates
- Dissipative Many-body Quantum Optics in Rydberg Media
- Quantum Shock Waves - the case for non-linear effects in dynamics of electronic liquids
- The theory of optical dispersive shock waves in photorefractive media
- Ultraslow Optical Solitons and Their Storage and Retrieval in an Ultracold Ladder-Type Atomic System
- Quantitative Analysis of Shock Wave Dynamics in a Fluid of Light
- Light storage based on four-wave mixing and electromagnetically induced transparency in cold atoms
- Gurevich-Pitaevskii problem and its development
- Giant Kerr nonlinearities and magneto-optical rotations in a Rydberg-atom gas via double electromagnetically induced transparency
- Structural Phase Transitions of Optical Patterns in Atomic Gases with Microwave Controlled Rydberg Interactions