Weakly interacting Bose gases with generalized uncertainty principle: Effects of quantum gravity

One dimensional Bose–Einstein condensate under the effect of the extended uncertainty principle

“…However, the GPE mean-field approximation typically neglects the fluctuations exhibited by an interacting BEC [40,41]. Thus, to further investigate the effect of EUP on BEC depletion and fraction, it is more accurate to employ the Bogoliubov approximation, which incorporates quantum fluctuations into the description of the system [42][43][44].…”

Study of Bose–Einstein condensate in the presence of the extended uncertainty principle: infinite potential well

“…Moreover, we focused on the deformed case; α = 0.25, since the the observations hold true even in the absence of EUP. We mentioned the depletion and fraction of condensate in the discussion of momentum uncertainty in figures 8 and 17, however, it is very important to point out that for a more precise examination of how EUP influences BEC depletion and fraction, it is advisable to utilize the Bogoliubov approximation, which integrates quantum fluctuations into the system's description [54,55].…”