How Can the Gross-Pitaevskii Equation Model BECs at Finite Temperatures?

In summary, Bose-Einstein condensation is a phenomenon in physics where a large number of bosons at low temperatures occupy the same quantum state. It is achieved by cooling a dilute gas of bosonic particles to extremely low temperatures. Bose-Einstein condensation has potential real-world applications in quantum computing, precision measurements, and creating new states of matter. Satyendra Nath Bose and Albert Einstein played key roles in the development of the theoretical framework for Bose-Einstein condensation. This phenomenon can only occur with bosonic particles, as fermions are excluded due to the Pauli exclusion principle.
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saeid90
2
0
Hello
What are some method or references to consider BECs or atom lasers in finite temperatures with Gross-Pitaevskii equation?
There is quantum mechanical approach but I want a mean field approach which considers thermal or quantum noises too.
If possible, introduce some references.
Thank you
Saeid Ebrahimzadeh
 
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1. What is Bose-Einstein condensation?

Bose-Einstein condensation is a phenomenon in physics where a large number of bosons (particles with integer spin) at low temperatures occupy the same quantum state, resulting in a coherent matter wave.

2. How is Bose-Einstein condensation achieved?

Bose-Einstein condensation is achieved by cooling a dilute gas of bosonic particles to extremely low temperatures, typically near absolute zero. This causes the particles to lose their individual identities and merge into a single macroscopic quantum state.

3. What are some real-world applications of Bose-Einstein condensation?

Bose-Einstein condensation has been observed in various systems, such as ultracold atomic gases and superconductors. It has potential applications in quantum computing, precision measurements, and creating new states of matter.

4. What did Satyendra Nath Bose and Albert Einstein contribute to the understanding of Bose-Einstein condensation?

Satyendra Nath Bose and Albert Einstein developed the theoretical framework for Bose-Einstein condensation in the 1920s. Bose first derived the statistical basis for the phenomenon, while Einstein provided a physical interpretation and predicted its existence in certain systems.

5. Can Bose-Einstein condensation occur with any type of particle?

No, Bose-Einstein condensation can only occur with bosonic particles, such as photons, helium-4 atoms, and certain types of particles in superconductors. Fermions, particles with half-integer spin, cannot undergo Bose-Einstein condensation due to the Pauli exclusion principle.

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