The Gibbs sum is given by
$$Z=\sum[\lambda \exp(-\varepsilon/\tau)]^N$$
where ##\lambda\equiv\exp(\mu/\tau)##. Since we are assuming ##\mu>\varepsilon##, we take only the last term of the sum because all others can be neglected.
thus
$$Z\approx[\lambda \exp(-\varepsilon/\tau)]^N$$
Now...
Imagine we have a cold region of the universe, almost devoid of matter and radiation. Or perhaps in a future universe where the CMB has "cooled" down to sufficiently low "temperatures"
Could there be long lived macroscopic Bose-Einstein and Fermionic states of matter there? Could matter...
Can anyone tell me what are those vortex lattices in Bose-Einstein condensates (BEC)? Images of these vortex lattices in BEC can be seen here http://www.iap.tu-darmstadt.de/fileadmin/apq/apq_teaching/apq_teaching_ws1213/GESPERRT_moderne_optik/Ketterle_Vortex_Lattices_Science.pdf. Are those...
I am interested in whether or not Bose Einstein condensates have been realized for spin zero stable oxygen isotopes and if so, the maximum density achieved for these condensates. I understand that the quantum spins of oxygen 16 and oxygen 18 are both zero so such condensates would seem to be...
So I understand that scientists have been able to slow light to extremely low speeds using Bose-Einstein Condensates and even without them (https://physics.aps.org/story/v3/st37) and if I understand this correctly they slow light the same way water or air does; atoms absorb the photons and...
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...
I have now seen it repeated multiple times that a particle (a fermion, perhaps?) moving in a condensate can exchange particles (bosons, most probably) "without effect" -- the version of this that I run into usually goes something like that the energy of the condensate does not change AT ALL...
I haven't learned about this yet in school but I'm assuming as the atoms condense down to a single wavelength the volume of the liquid would be very small. If this condensate was instantly released out of a vacuum and into normal atmospheric pressure, would the volume rapidly expand?
Secondly...