Understanding Phase Diffusion in Bose Einstein Condensates

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In summary, people are discussing the phase diffusion of a Bose Einstein condensate, which is a result of the presence of atom-atom interaction causing different phase evolution rates in a superposition state. This phenomenon is also referred to as "collapse and revival", but due to decoherence, the revival part is not typically observed in experiments with BEC.
  • #1
wdlang
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in literatures, people are discussing about the phase diffusion of a bose einstein condensate

what does it mean?

the phase of the bec drifts on the unit circle randomly?

does this concept come from quantum optics?
 
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A classical, phase-coherent state is a superposition of many different Fock states (or number states). Now, due to the presence of atom-atom interaction in the condensates, each Fock state has different phase evolution rate. Therefore, a superposition state will have a spread of evolution rates, leading to ‘‘phase diffusion’’.
 
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  • #3
lazybird said:
A classical, phase-coherent state is a superposition of many different Fock states (or number states). Now, due to the presence of atom-atom interaction in the condensates, each Fock state has different phase evolution rate. Therefore, a superposition state will have a spread of evolution rates, leading to ‘‘phase diffusion’’.

Thanks a lot!

However, this effect is named as 'collapse and revival' as i understand.
 
  • #4
Sure. You're right. Except in experiments with BEC, you don't get to see the revival part due to decoherences from other sources. For example, let's say you split a single BEC into two phase-coherent BECs. These two independent (yet initially coherent) condensates now will go through the "phase diffusion" that you mentioned. Before they have a chance to "rephase", though, other decoherence mechanisms (such as relative motion of the condensates) can totally erase the phase relationship, hence no revival.
 

1. What is phase diffusion?

Phase diffusion is a process in which a substance transitions from one phase to another, such as from solid to liquid or liquid to gas. This can occur due to changes in temperature or pressure, and involves the rearrangement of molecules within the substance.

2. How does phase diffusion differ from other phase transitions?

Phase diffusion is different from other phase transitions, such as melting or boiling, because it involves a gradual change from one phase to another rather than an abrupt change. It also does not involve the addition or removal of heat from the substance.

3. What factors affect phase diffusion?

Phase diffusion can be affected by several factors, including temperature, pressure, and the properties of the substance itself. The rate of phase diffusion can also be influenced by the presence of impurities or the addition of other substances.

4. What are some examples of phase diffusion?

Some examples of phase diffusion include the gradual melting of a solid as it is heated, the slow evaporation of a liquid at room temperature, and the sublimation of dry ice (solid carbon dioxide) into a gas. Phase diffusion can also occur in chemical reactions, as different substances form and change phases.

5. How is phase diffusion studied and measured?

Phase diffusion can be studied and measured using a variety of techniques, including microscopy, thermal analysis, and spectroscopy. These methods allow scientists to observe the changes in molecular structure and properties as a substance undergoes phase diffusion.

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