by **Jarek** » Sat Aug 25, 2018 12:52 am

There are these popular experiments with droplets having wave-particle duality started by Couder, e.g. here is

Veritasium video with 2.5M views,

great webpage with materials and videos, a

lecture by Couder,

my slides with additional hydrodynamical analogues (e.g. of Casimir effect and Aharonov-Bohm).

Among others, they claim to recreate:

1)

Interference in particle statistics of double-slit experiment (PRL 2006) - corpuscle travels one path, but its "pilot wave" travels all paths - affecting trajectory of corpuscle (measured by detectors).

2) Unpredictable

tunneling (PRL 2009) due to complicated state of the field ("memory"), depending on the history - they observe exponential drop of probability to cross a barrier with its width.

3) Landau orbit

quantization (PNAS 2010) - using rotation and Coriolis force as analog of magnetic field and Lorentz force (Michael Berry 1980). The intuition is that the clock has to find a resonance with the field to make it a standing wave (e.g. described by Schrödinger's equation).

4) Zeeman-like

level splitting (PRL 2012) - quantized orbits split proportionally to applied rotation speed (with sign).

5)

Double quantization in harmonic potential (Nature 2014) - of separately both radius (instead of standard: energy) and angular momentum. E.g. n=2 state switches between m=2 oval and m=0 lemniscate of 0 angular momentum.

6) Recreating

eigenstate form statistics of a walker's trajectories (PRE 2013).

They connect these experiments with de Broglie-Bohm interpretation, e.g. supported by measurement of average trajectories in double-slit experiment (

Science 2011).

While in Couder's experiments oscillations are due to external periodic force, for quantum physics they would need e.g. intrinsic oscillations of particles - called

de Broglie's clock or

Zitterbewegung, which

has been confirmed experimentally.

Can we use intuitions they bring to understand their quantum counterparts?
There are these popular experiments with droplets having wave-particle duality started by Couder, e.g. here is [url=https://www.youtube.com/watch?v=WIyTZDHuarQ]Veritasium video with 2.5M views[/url], [url=http://dualwalkers.com/]great webpage with materials and videos[/url], a [url=http://www.emqm13.org/abstracts/presentation-videos/video-yves-couder/]lecture by Couder[/url], [url=https://www.dropbox.com/s/kxvvhj0cnl1iqxr/Couder.pdf]my slides with additional hydrodynamical analogues[/url] (e.g. of Casimir effect and Aharonov-Bohm).

Among others, they claim to recreate:

1) [b]Interference [/b]in particle statistics of double-slit experiment (PRL 2006) - corpuscle travels one path, but its "pilot wave" travels all paths - affecting trajectory of corpuscle (measured by detectors).

2) Unpredictable [b]tunneling[/b] (PRL 2009) due to complicated state of the field ("memory"), depending on the history - they observe exponential drop of probability to cross a barrier with its width.

3) Landau orbit [b]quantization[/b] (PNAS 2010) - using rotation and Coriolis force as analog of magnetic field and Lorentz force (Michael Berry 1980). The intuition is that the clock has to find a resonance with the field to make it a standing wave (e.g. described by Schrödinger's equation).

4) Zeeman-like [b]level splitting[/b] (PRL 2012) - quantized orbits split proportionally to applied rotation speed (with sign).

5) [b]Double quantization[/b] in harmonic potential (Nature 2014) - of separately both radius (instead of standard: energy) and angular momentum. E.g. n=2 state switches between m=2 oval and m=0 lemniscate of 0 angular momentum.

6) Recreating [b]eigenstate form statistics[/b] of a walker's trajectories (PRE 2013).

They connect these experiments with de Broglie-Bohm interpretation, e.g. supported by measurement of average trajectories in double-slit experiment ([url=http://science.sciencemag.org/content/332/6034/1170.full]Science 2011[/url]).

While in Couder's experiments oscillations are due to external periodic force, for quantum physics they would need e.g. intrinsic oscillations of particles - called [url=https://en.wikipedia.org/wiki/Matter_wave_clock]de Broglie's clock[/url] or [url=https://en.wikipedia.org/wiki/Zitterbewegung]Zitterbewegung[/url], which [url=https://link.springer.com/article/10.1007/s10701-008-9225-1]has been confirmed experimentally[/url].

[b]Can we use intuitions they bring to understand their quantum counterparts?[/b]