Anisotropic Optical Shock Waves in Isotropic Media with Giant Nonlocal Nonlinearity
arXiv:1909.04506 · doi:10.1103/PhysRevLett.125.243902
Abstract
Dispersive shock waves in thermal optical media belong to the third-order nonlinear phenomena, whose intrinsic irreversibility is described by time asymmetric quantum mechanics. Recent studies demonstrated that nonlocal wave breaking evolves in an exponentially decaying dynamics ruled by the reversed harmonic oscillator, namely, the simplest irreversible quantum system in the rigged Hilbert spaces. The generalization of this theory to more complex scenarios is still an open question. In this work, we use a thermal third-order medium with an unprecedented giant Kerr coefficient, the M-Cresol/Nylon mixed solution, to access an extremely-nonlinear highly-nonlocal regime and realize anisotropic shock waves. We prove that a superposition of the Gamow vectors in an ad hoc rigged Hilbert space describes the nonlinear beam propagation beyond the shock point. Specifically, the resulting rigged Hilbert space is a tensorial product between the reversed and the standard harmonic oscillators spaces. The anisotropy turns out from the interaction of trapping and antitrapping potentials in perpendicular directions. Our work opens the way to a complete description of novel intriguing shock phenomena, and those mediated by extreme nonlinearities.
arXiv comment6 pages, 5 figures
References in corpus (28)
- Route to nonlocality and observation of accessible solitons
- Dispersive, superfluid-like shock waves in nonlinear optics
- On Dispersive and Classical Shock Waves in Bose-Einstein Condensates and Gas Dynamics
- Shocks in nonlocal media
- Controlled formation and reflection of a bright solitary matter-wave
- Observation of a gradient catastrophe generating solitons
- Formation of Quantum Shock Waves by Merging and Splitting Bose-Einstein Condensates
- Dissipationless shock waves in repulsive Bose-Einstein condensates
- Formation of shock waves in a Bose-Einstein condensate
- Feshbach resonance induced shock waves in Bose-Einstein condensates
- Quantum Shock Waves - the case for non-linear effects in dynamics of electronic liquids
- The theory of optical dispersive shock waves in photorefractive media
- Observations on Sound Propagation in Rapidly Rotating Bose-Einstein Condensates
- A Pedestrian Introduction to Gamow Vectors
- Perturbative analysis of generally nonlocal spatial optical solitons
- Light meets water in nonlocal media: Surface tension analogue in optics
- Shock waves in disordered media
- Time Asymmetric Quantum Physics
- Topological Control of Extreme Waves
- Observation of dispersive shock waves, solitons, and their interactions in viscous fluid conduits
- Quantum Mechanics of Damped Systems II. Damping and Parabolic Potential Barrier
- Quantum mechanics of damped systems
- Anderson Localization in Nonlocal Nonlinear Media
- Pearcey solitons in curved nonlinear photonic caustic lattices
- Nonlinear Gamow vectors, shock waves and irreversibility in optically nonlocal media
- Shock waves in thermal lensing
- Irreversible Evolution of a Wave Packet in The Rigged Hilbert Space Quantum Mechanics
- Optical Spatial Shock Waves in Nonlocal Nonlinear Media