Can a particle cause a Bose-Einstein condensate to wave?

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Discussion Overview

The discussion centers around the behavior of Bose-Einstein condensates (BECs) in relation to particles moving through them and the potential for such interactions to cause wave-like disturbances. Participants explore the nature of BECs, comparisons to fluid dynamics, and the implications of chaotic systems in quantum mechanics.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant questions whether a particle could displace a Bose-Einstein condensate, causing it to wave.
  • Another participant introduces fluid mechanics and chaotic systems, suggesting that certain fluid behaviors might mimic quantum mechanics, but does not confirm that these fluids are BECs.
  • A different participant argues that while fluid-drop experiments serve as an analogy for quantum mechanics, they are not representative of BECs and their behaviors are only superficially similar.
  • One participant clarifies that they are not inquiring about the fluid used in specific experiments but rather about the theoretical implications of a particle moving through a BEC.
  • Another participant expresses uncertainty about the nature of disturbances generated by a particle in a BEC, indicating a lack of clear answers in the literature.
  • A later post raises the question of whether the underlying phenomena leading to quantum mechanics' probabilistic nature could be attributed to chaotic BECs and if such condensates could be involved in double-slit experiments.
  • One participant dismisses the idea that the referenced paper supports the notion of chaotic BECs influencing quantum mechanics.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between fluid dynamics and Bose-Einstein condensates, with no consensus reached on whether a particle can cause a BEC to wave or if chaotic BECs could explain quantum phenomena.

Contextual Notes

Participants note limitations in the existing literature regarding the behavior of BECs in response to disturbances and the definitions of the systems being discussed, which may affect the interpretations of their claims.

Fred Thompson
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Could a particle move through and displace a Bose-Einstein condensate, causing it to wave?
 
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Could the fluid described in the following articles be a Bose-Einstein condensate?

Fluid mechanics suggests alternative to quantum orthodoxy

The fluidic pilot-wave system is also chaotic. It’s impossible to measure a bouncing droplet’s position accurately enough to predict its trajectory very far into the future. But in a recent series of papers, Bush, MIT professor of applied mathematics Ruben Rosales, and graduate students Anand Oza and Dan Harris applied their pilot-wave theory to show how chaotic pilot-wave dynamics leads to the quantumlike statistics observed in their experiments.​

When Fluid Dynamics Mimic Quantum Mechanics

If you have a system that is deterministic and is what we call in the business ‘chaotic,’ or sensitive to initial conditions, sensitive to perturbations, then it can behave probabilistically,” Milewski continues. “Experiments like this weren’t available to the giants of quantum mechanics. They also didn’t know anything about chaos. Suppose these guys — who were puzzled by why the world behaves in this strange probabilistic way — actually had access to experiments like this and had the knowledge of chaos, would they have come up with an equivalent, deterministic theory of quantum mechanics, which is not the current one? That’s what I find exciting from the quantum perspective.​
 
These fluid-drop experiments have been discussed in many previous threads here.

They are an analogy for Bohmian mechanics, and they're a really neat visual aid. But an analogy will only go so far; the fluid is not a Bose-Einstein condensate and the behavior it displays is only superficially similar to the behavior of quantum particles.
 
They're actually an analogy for de Broglie's double solution theory, not Bohmian mechanics. And I'm not asking if the fluid used in the walking droplets experiments is a Bose-Einstein condensate. The fluid is a silicon substrate. What I am asking is if a particle were to move through a Bose-Einstein condensate would it displace it, causing it to wave?
 
Fred Thompson said:
Could the fluid described in the following articles be a Bose-Einstein condensate?

From the first article: In the experiments reported in PRE, the researchers mounted a shallow tray with a circular depression in it on a vibrating stand. They filled the tray with a silicone oil and began vibrating it at a rate just below that required to produce surface waves.

I've looked through the paper and I see no mention of it being a BE condensate, so it appears to be just a normal fluid.

As to the question in your original post, I cannot provide an accurate answer. I would assume that it would generate some kind of disturbance, but I don't know how that's treated in a BE condensate.
 
My second post wasn't clear. I was referring to the underlying physical phenomenon which leads to the probabilistic nature of quantum mechanics. I'm asking if the underlying physical 'stuff' which leads to the probabilistic nature of quantum mechanics could be a chaotic Bose-Einstein condensate. I'm then asking if this Bose-Einstein condensate could also be what waves in a double slit experiment.
 
Nothing in the paper even remotely suggests such an idea.
 

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