An interesting article from Tomas Bohr, the grandson of Niels Bohr :
The walking droplets closely resemble quantum particles driven by a ‘pilot wave’, but how far the analogy can be taken is presently unknown

http://fermatslibrary.com/s/quantum-physics-dropwiseImage attachment

1 week ago

An interesting article from Tomas Bohr, the grandson of Niels Bohr :
"The walking droplets closely resemble quantum particles driven by a ‘pilot wave’, but how far the analogy can be taken is presently unknown"

fermatslibrary.com/s/quantum-physics-dropwise
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3 months ago

[SOUND] Did you know coupled equations can whistle just like a pair of Parakeet ? 🙂 🙂 ... See MoreSee Less

3 months ago

What can you see in the bottom right corner ? ... See MoreSee Less

3 months ago

[ 83 - Dotwave in a ring ] And the end of this presentation !

Muchas gracias to Dr Senor Marc Fleury for support and bananafull discussions for those last 5 years 🍌🖖👍

marcf.blogspot.fr/
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3 months ago

[ 82 - Follow me ] Linear orbit ... See MoreSee Less

3 months ago

[ 81 - bounding and covalence ]
Self-explanatory ?
NB : please notice that a dot disappears exactly when the "covalence bounding" occurs.
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3 months ago

[80- Wave-mediated Spin Inversion ]
Self-explanatory 😉
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3 months ago

[79 - Travelling Wave ] At each impact of the dot, a travelling wave is emitted, which is hardly seen. Here we can visualize this propagating wave, created manually by a small disturbance of the bath.

The speed of this travelling wave is the maximum speed of wave-mediated interaction on the vibrating bath
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3 months ago

[ 78 - invisibility cloak ] Can you see why ? ... See MoreSee Less

4 months ago

[ 77 - molecules ] And a walking crystal primitive cell ... See MoreSee Less

4 months ago

[ 76 - ISOMERS ] "In chemistry, isomers are the compounds that have identical molecular formulas but differ in the nature or sequence of bonding of their atoms or in the arrangement of their atoms in space." (WIKI) ... See MoreSee Less

4 months ago

[75 - Unexpected equilibrium ]

Where a dot is seen finding a nice place inbetween waves after some wiggling....and not moving any more ... !
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4 months ago

[ 74 - bouncing in a 1D box ]

When a walker is forced to move in a monodimensionnal box, it will bounce at each left and right end, and this bounce will create a phase shift.
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4 months ago

[ 73 - Self interference through a slit ? ]
A strange event occured : the walker went inside the slit, self interfered, and reversed its motion...Or was it just an experimental artefact ?

😉
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[ 72 - Cavities eigenstates ]
The final stretch of this presentation now : a pot-pourri, ie a mix of pictures and videos showing several interesting effect, starting with these pictures of stationnary waves inside cavities : so called eigenstates :)

4 months ago

[ 72 - Cavities "eigenstates" ]
The final stretch of this presentation now : a "pot-pourri", ie a mix of pictures and videos showing several interesting effect, starting with these pictures of stationnary waves inside cavities : so called "eigenstates" 🙂
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4 months ago

[ 68-71 Bibliorgasmy (2/2) ]
- Instantaneous time mirrors
- self-organization into quantized eigenstates
- "superposition" and tunable Multi-stability
- parameters analogy
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4 months ago

[ 64-67 Bibliorgasmy (1/2) ]
- Experimental Auto-orbits
- Do-it-Not-Yourself : the MIT Apparatus
- Full Hydrodynamical Model : Navier-Stokes inside
- Lattices of bouncing droplets
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4 months ago

[ 63 - Memory induced calligraphy ] Because these trajectories are pretty, aren't they ? <3 🙂
A dotwave walker is simulated with a very simple discrete code (no fancy integration scheme)
The bouncing in a square box is computed with a simple specular reflection.
It is like a pool table seen from atop. But the surface of the table has a wavelike memory, so that the walker is interacting with its own past and self interfering.
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4 months ago

[ 61 - Collision - Attraction - Bound state] Here we visualize only the dots. They are trapped on a pool table...well..a pool table with memory ... 😉
And as usual, they interact at a distance through their associated wave field.
This brings up a stable 2-bodies attractor.
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5 months ago

[ 60 - a simple discrete model] The walker simulation can also be written in a more simple fashion, without fancy integration scheme. Some of the main features of walkers are reproduced :
- Memory of the wave field leading to self-interference
- Shape of the wave field associated with a walker
- Wave mediated interactions between two walkers

Unlike the previous "surfing droplet" simulation, this simple time-step Euler integration scheme is not suitable for simulating motion in a potential (e.g. harmonic) because it might diverge. Also, the speed of the walker is not constant.

But it can be used in free motion, or in a box where the boundaries are materialized by a simple specular reflection.

And the code runs much faster 😉
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5 months ago

[ 59 - Intermittences ] In this simulation, the walker is placed in a harmonic potential, ie linked to the center via a spring, and has an initial velocity tangential to a circle.

The memory-induced self interference creates random inversion of its spin.
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5 months ago

[ 58 - Qubit Hunting ] In this simulation, the dotwave is trapped in a harmonic potential, in a 1D Channel.

We want to see if the wave field oscillates between several well defined pattern that occur one after the other.

"Superposition as a succession of metastable attractors" ?
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5 months ago

[57 - 2 dotwaves in a box ]
The simulation can be extended and accommodate 2 walkers.
Each walker interacts with its own past AND with the other walker's trajectory and past.
Here, 2 walkers are placed in a square potential well with a repulsive force at the boundary (no wave reflections)
Only the wave field is represented. Still, it is easy to imagine where the dots are located.
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5 months ago

[56 - Sonification of wave field ]
SOUND ON for this video where you will hear the "quantum drum" ( Clown Inside )

The dot is moving in a harmonic potential (tied to a spring located at the center of the image)

The field is spatially sampled and its variations are summed at a certain location above the 2D surface, simulating the postion of a microphone above the vibrating plate.

The sound is generated from its derivative, since the ear is sensitive to the derivative of the pressure field.
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5 months ago

[55 - Harmonic potential ] Another qualitative comparison between experimental and numerical ... See MoreSee Less

5 months ago

[ 54 - Harmonic Potential ] Here, we can compare qualitatively the experimental result and the simulation of a walking droplet in a harmonic potential, that is : "attached to a spring which is tied to the center of the apparatus" (a central attractive force)

The experimental trajectories were recorded by the Paris Team with a ferromagnetic droplet in a magnetic field (See slide [39] )
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5 months ago

[ 53 free motion ] To qualify this model, let's compare : the wake and the "wings" look quite alike .... ... See MoreSee Less

[ 52 - Numericall ] Lets now continue with some numerical models based on the so called strobocopic approximation :  in this model, the dynamical vertical of the droplet is not taken care of.

The dot is surfing on the wave and periodically emits in its wake a circular wave that decays slowly (the speed of decay depends on the memory of the bath)

Please note : this model is non local (hence non physical ?) since the circular wave that is emitted periodically by the dot  propagates instantly in the whole space.

5 months ago

[ 52 - Numericall ] Let's now continue with some numerical models based on the so called strobocopic approximation : in this model, the dynamical vertical of the droplet is not taken care of.

The dot is surfing on the wave and periodically emits in its wake a circular wave that decays slowly (the speed of decay depends on the memory of the bath)

Please note : this model is non local (hence non physical ?) since the circular wave that is emitted periodically by the dot "propagates" instantly in the whole space.
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5 months ago

[51 - "entanglement" ] The idea is the following :
- 2 resonant cavities each containing a dot as in [49]
- Cavities can communicate trough waves but the dot cannot go through
- In each cavity, the dot would follow a "random" trajectory with a ststistical build-up like in [49]

Then, how would the two "random-but-with-a-wavelike-statistics" trajectories correlate ???
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