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We investigate the temporal photonic analogue of the dam-break phenomenon for shallow water by exploiting a fiber optics setup. We clearly observe the decay of the step-like input (photonic dam) into a pair of oppositely propagating…

The one-dimensional piston shock problem is a classical result of shock wave theory. In this work, the analogous dispersive shock wave (DSW) problem for a dispersive fluid described by the nonlinear Schr\"odinger equation is analyzed.…

Pattern Formation and Solitons · Physics 2010-08-12 M. A. Hoefer , M. J. Ablowitz , P. Engels

We report the observation of a two-dimensional dam break flow of a photon fluid in a nonlinear optical crystal. By precisely shaping the amplitude and phase of the input wave, we investigate the transition from one-dimensional (1D) to…

Pattern Formation and Solitons · Physics 2024-09-30 Ludovica Dieli , Davide Pierangeli , Eugenio DelRe , Claudio Conti

We consider the Riemann problem of evolution of initial discontinuities for the photon fluid propagating in a normal dispersion fiber with account of self-steepening effects. The dynamics of light field is described by the nonlinear…

Pattern Formation and Solitons · Physics 2018-01-22 S. K. Ivanov , A. M. Kamchatnov

Motivated by recent experiments, we theoretically analyze the flow past an obstacle of a one-dimensional "quantum fluid of light" which is resonantly driven, and exhibits bistability. The flow is found to abruptly change several times when…

Quantum Gases · Physics 2023-02-01 Vincent Hakim , Simon Pigeon , Amandine Aftalion

Quantum fluids of light are the photonic counterpart of Bose gases. They currently attract increasing interest since they are versatile and highly tunable systems for probing many-body physics quantum phenomena, such as superfluidity.…

Optics · Physics 2020-11-25 Quentin Fontaine

A recently introduced two-phase flow model by Chun Shen is studied in this work. The model is derived to describe the dynamics of immersed water bubbles in liquid water as carrier. Several assumptions are made to obtain a reduced form of…

Fluid Dynamics · Physics 2025-12-03 Abdul Rab

Liquid-vapor flows with phase transitions have a wide range of applications. Isothermal two-phase flows described by a single set of isothermal Euler equations, where the mass transfer is modeled by a kinetic relation, have been…

Analysis of PDEs · Mathematics 2022-11-03 Maren Hantke , Ferdinand Thein

While photons in vacuum are massless particles that do not interact with each other, significant photon-photon interactions appear in suitable nonlinear media, leading to novel hydrodynamic behaviors typical of quantum fluids. Here we show…

Quantum gases of light, as photons or polariton condensates in optical microcavities, are collective quantum systems enabling a tailoring of dissipation from e.g. cavity loss. This makes them a tool to study dissipative phases, an emerging…

Flash evaporation, a liquid-to-gas phase transition phenomenon in real fluids, is prevalent in aerospace propulsion systems. To elucidate the physical mechanisms of such complex flows and provide theoretical benchmarks for Computational…

Fluid Dynamics · Physics 2026-01-27 Haotong Bai , Ping Yi , Yixin Yang , Guoyan Zhao , Wenjia Xie , Mingbo Sun

Wave modes induced by cross-phase reshaping of a probe photon in the guiding structure of a periodic train of temporal pulses are investigated theoretically with emphasis on exact solutions to the wave equation for the probe. The study has…

Pattern Formation and Solitons · Physics 2021-09-16 Alain M. Dikande

We propose a two-dimensional model consisting of photons and photon pairs. In the model, the mixed gas of photons and photon pairs is formally equivalent to a two-dimensional system of massive bosons with non-vanishing chemical potential,…

Quantum Gases · Physics 2015-06-04 Jianjun Zhang , Jianhui Yuan

Gas injection in the context of the three-phase flow in porous media appears in applications such as Enhanced Oil Recovery, aquifer remediation, and carbon capture, utilization, and storage (CCUS). In general, this technique suffers from a…

Analysis of PDEs · Mathematics 2026-05-18 Luis Fernando Lozano , Grigori Chapiro , Dan Marchesin

In this paper, we theoretically propose an optomechanical scheme to explore the possibility of simulating the propagation of the collective excitations of the photon fluid in a curved spacetime. For this purpose, we introduce two…

Quantum Physics · Physics 2017-11-16 F. Bemani , R. Roknizadeh , M. H. Naderi

We analyze the non-equilibrium dynamics of a gas of interacting photons in an array of coupled dissipative nonlinear cavities driven by a pulsed external coherent field. Using a mean-field approach, we show that the system exhibits a phase…

Strongly Correlated Electrons · Physics 2010-06-15 A. Tomadin , V. Giovannetti , R. Fazio , D. Gerace , I. Carusotto , H. E. Tureci , A. Imamoglu

We propose an experimental setup that should make it possible to reveal the frictionless flow of a superfluid of light from the suppression of the drag force that it exerts onto a material obstacle. In the paraxial-propagation geometry…

Quantum Gases · Physics 2015-05-18 P. -É. Larré , I. Carusotto

The piston shock problem is a prototypical example of strongly nonlinear fluid flow that enables the experimental exploration of fluid dynamics in extreme regimes. Here we investigate this problem for a nominally dissipationless, superfluid…

Quantum Gases · Physics 2018-11-09 Maren E. Mossman , Mark A. Hoefer , Keith Julien , Panos G. Kevrekidis , Peter Engels

In this paper a hyperbolic system of partial differential equations for two-phase mixture flows with $N$ components is studied. It is derived from a more complicated model involving diffusion and exchange terms. Important features of the…

Analysis of PDEs · Mathematics 2022-08-24 Maren Hantke , Christoph Matern , Gerald Warnecke , Hazem Yaghi

We consider the excitation dynamics of the two-photon \sts transition in a beam of atomic hydrogen by 243 nm laser radiation. Specifically, we study the impact of ionization damping on the transition line shape, caused by the possibility of…

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