Quantum vacuum fluctuation in BEC

In summary, the quantum vacuum fluctuations in a BEC are responsible for excitations, which can propagate as waves and potentially lead to effects such as Hawking radiation.
  • #1
Adele
2
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TL;DR Summary
Propagation of phonon in BEC, several contributions
Hi, I have some problems with visualization (I'm trying to understand Jeff Steinhauer's experiment, but my questions are general).

Why the quantum vacuum fluctuations are guaranteed by the underlying pointlike atoms composing a BEC?

And if vacuum fluctuations generate excitations (i.e phonon) what is the link with the propagation of wave? Does this excitation produce waves? There are propagating waves plus excitation due to vacuum fluctuations?

And more specifically, he used the correlation between annihilation operators for demonstrated the Hawking radiation but why not the creation operators?
Thanks
 
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  • #2
Quantum vacuum fluctuations arise due to the fact that atoms interact with each other in a BEC. The Heisenberg uncertainty principle states that there is an inherent uncertainty in the momentum and position of particles. This means that even in a vacuum, the particles can spontaneously and randomly fluctuate from their ground state to an excited state. These fluctuations can create excitations, or quanta of energy, which can propagate as waves, creating sound waves or other types of waves. As for Jeff Steinhauer's experiment, he used correlation between annihilation operators to demonstrate Hawking radiation because these operators describe the destruction of particles, which is how Hawking radiation is thought to occur. Creation operators on the other hand describe the creation of particles, which does not necessarily correspond to Hawking radiation.
 

Related to Quantum vacuum fluctuation in BEC

1. What is a quantum vacuum fluctuation in BEC?

A quantum vacuum fluctuation in BEC (Bose-Einstein condensate) refers to the spontaneous creation and annihilation of particles in a vacuum state. This phenomenon is a result of the uncertainty principle in quantum mechanics, where even in a vacuum, particles can briefly appear and disappear due to fluctuations in energy.

2. How is a quantum vacuum fluctuation in BEC different from a regular vacuum?

A regular vacuum is considered to be completely empty, with no particles or energy present. However, in a quantum vacuum fluctuation in BEC, particles can briefly appear and disappear due to fluctuations in energy. This phenomenon is not present in a regular vacuum.

3. What is the significance of quantum vacuum fluctuations in BEC?

Quantum vacuum fluctuations in BEC have significant implications in understanding the behavior of matter at a fundamental level. They play a crucial role in phenomena such as superconductivity and superfluidity, and also have potential applications in quantum computing and precision measurement.

4. Can quantum vacuum fluctuations be observed in BEC?

Currently, there is no direct way to observe quantum vacuum fluctuations in BEC. However, their effects can be indirectly observed through various experimental techniques, such as measuring the lifetime of the BEC or studying its collective excitations.

5. How do quantum vacuum fluctuations affect the properties of BEC?

Quantum vacuum fluctuations can influence the behavior and properties of BEC, such as its stability and dynamics. They can also affect the collective excitations of the BEC, leading to phenomena such as phonon-phonon interactions and Bogoliubov sound waves.

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