Quantum entanglement and Bose-Einstein condensation.

In summary, the question is whether quantum entanglement can be created between two thermodynamically isolated Bose-Einstein condensates of the same atom produced at the same time in close proximity, due to the similarity of their quantum states. The answer is uncertain, as entanglement requires interaction and coupling between the systems, which may not occur in this situation. However, there may be potential for synchronization of the wave functions if there is some minimal interaction between the systems. Further experiments could be done, such as separating the condensates with a thin sheet of gold, to test for entanglement.
  • #1
CarlosLara
15
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Good afternoon. I am wondering if quantum entanglement could be created between two thermodynamically isolated Bose-Einstein condensates of the same atom produced at the same time in close proximity. Due to the similarity of the systems' mathematics regarding their quantum states (wave function), could they become entangled? Could you trigger entanglement in this situation?
 
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  • #2
CarlosLara said:
Good afternoon. I am wondering if quantum entanglement could be created between two thermodynamically isolated Bose-Einstein condensates of the same atom produced at the same time in close proximity. Due to the similarity of the systems' mathematics regarding their quantum states (wave function), could they become entangled? Could you trigger entanglement in this situation?

That's a good question, and I don't know.

If the two systems are completely isolated from one another then by definition there is no interaction. On the other hand systems with the same resonant frequency show a remarkable tendency to entrain. This began with Huygens and his clocks. So if there were a certain minimal interaction you might very well get synchronization of the wave functions. You could try separating them with a very thin (one atom thick) sheet of gold.
 
  • #3
Despite the sameness of the mathematical structure even after some real-dynamics of the two isolated condensates, I would say they are still not entangled because the state of the composite system is still separable into two subsystems of BEC.

I think entanglement is possibly induced by coupling.
 

1. What is quantum entanglement?

Quantum entanglement is a phenomenon in which two or more particles become connected in a way that their states are dependent on each other, regardless of the distance between them. This means that measuring the state of one particle can instantaneously determine the state of the entangled particle, even if they are separated by large distances.

2. How does quantum entanglement work?

Quantum entanglement occurs when two or more particles are created in such a way that their properties, such as spin or polarization, are intrinsically linked. This link remains even if the particles are separated, and any change to one particle will affect the other, regardless of the distance between them.

3. What is Bose-Einstein condensation?

Bose-Einstein condensation is a state of matter that occurs at extremely low temperatures. It is formed when a group of bosons, which are particles with integer spin, become so densely packed that they lose their individual identities and merge into a single entity. This phenomenon was first predicted by Satyendra Nath Bose and Albert Einstein in the 1920s.

4. How does Bose-Einstein condensation occur?

Bose-Einstein condensation occurs when a gas of bosons is cooled to a temperature close to absolute zero. As the temperature decreases, the bosons begin to lose their individual identities and merge into a single quantum state. This results in a macroscopic quantum phenomenon, where all particles in the condensate behave as a single entity.

5. What are the potential applications of quantum entanglement and Bose-Einstein condensation?

Quantum entanglement and Bose-Einstein condensation have potential applications in quantum information processing, quantum computing, and quantum communication. They could also be used to create ultra-precise sensors and clocks, and to study fundamental physics. Additionally, Bose-Einstein condensates have been used in experiments to study superfluidity and to create artificial materials with unique properties.

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