# Low-frequency analogue Hawking radiation: the Korteweg–de Vries model

@article{Coutant2017LowfrequencyAH, title={Low-frequency analogue Hawking radiation: the Korteweg–de Vries model}, author={Antonin Coutant and Silke E. Ch. Weinfurtner}, journal={Physical Review D}, year={2017}, volume={97}, pages={025005} }

We derive analytic expressions for the low-frequency properties of the analogue Hawking radiation in a general weak-dispersive medium. A thermal low-frequency part of the spectrum is expected even when dispersive effects become significant. We consider the two most common class of weak-dispersive media and investigate all possible anomalous scattering processes due inhomogeneous background flows. We first argue that under minimal assumptions, the scattering processes in near-critical flows are…

## 16 Citations

### Low-frequency analogue Hawking radiation: The Bogoliubov-de Gennes model

- Physics
- 2018

We analytically study the low-frequency properties of the analogue Hawking effect in Bose-Einstein condensates. We show that in one-dimensional flows displaying an analogue horizon, the Hawking…

### Analog Hawking effect: A master equation

- Physics
- 2020

We consider further the problem of the analog Hawking radiation. We propose a fourth order ordinary differential equation, which allows us to discuss the problem of Hawking radiation in analog…

### Analogous Hawking Effect: S-Matrix and Thermofield Dynamics

- PhysicsUniverse
- 2022

We consider the full S-matrix in the scattering giving rise to analogous Hawking radiation in dispersive media. We show the general structure of the scattering in the weak dispersion approximation…

### Non-linear Processes and Stimulated Hawking Radiation in Hydrodynamics for Decelerating Subcritical Free Surface Flows with a Subluminal Dispersion Relation

- Physics
- 2021

In [1], the authors have “conducted experiments in order to verify the thermal nature of the stimulated Hawking process at a white hole horizon in a fluid analogue gravity system” namely the linear…

### Gravity waves on modulated flows downstream from an obstacle: The transcritical case

- Physics
- 2018

Periodic spatial modulations arise in analogue gravity experiments aimed at detecting the analogue version of the Hawking effect in a white-hole flow. Having the same spatial periodicity as…

### Analog Hawking effect: BEC and surface waves

- Physics
- 2020

We take into account two further physical models which play an utmost importance in the framework of Analogue Gravity. We first consider Bose--Einstein condensates (BEC) and then surface gravity…

### Analytical description of quantum emission in optical analogs to gravity

- Physics
- 2020

We consider a moving refractive index perturbation in an optical medium as an optical analogue to waves under the influence of gravity. We describe the dielectric medium by the Lagrangian of the…

### Analogue quantum simulation of the Hawking effect in a polariton superfluid

- PhysicsThe European Physical Journal D
- 2022

Quantum effects of fields on curved spacetimes may be studied in the laboratory thanks to quantum fluids. Here we use a polariton fluid to study the Hawking effect, the correlated emission from the…

### Polariton fluids for analogue gravity physics

- PhysicsPhilosophical Transactions of the Royal Society A
- 2020

It is demonstrated how optically generating a defect in a polariton microcavity enables the creation of one- and two-dimensional, transsonic fluid flows and it is shown that this highly tuneable method permits thecreation of horizons.

### On the analogy between black holes and bathtub vortices

- Physics
- 2020

Analogical thinking is a valuable tool in theoretical physics, since it allows us to take the understanding we have developed in one system and apply it to another. In this thesis, we study the…

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