Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2005-10-12
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
9 pages, submitted to PRA
Scientific paper
10.1103/PhysRevA.73.023601
In this paper we show that a normal total number-of-particle fluctuation can be obtained consistently from the static thermodynamic relation and dynamic compressibility sum rule. In models using the broken U(1) gauge symmetry, in order to keep the consistency between statics and dynamics, it is important to identify the equilibrium state of the system with which the density response function is calculated, so that the condensate particle number $N_0$, the number of thermal depletion particles $\tilde{N}$, and the number of non-condensate particles $N_{nc}$ can be unambiguously defined. We also show that the chemical potential determined from the Hugenholtz-Pines theorem should be consistent with that determined from the equilibrium equation of state. The $N^{4/3}$ anomalous fluctuation of the number of non-condensate particles is an intrinsic feature of the broken U(1) gauge symmetry. However, this anomalous fluctuation does not imply the instability of the system. Using the random phase approximation, which preserves the U(1) gauge symmetry, such an anomalous fluctuation of the number of non-condensate particles is completely absent
No associations
LandOfFree
Number-of-Particle Fluctuations and Stability of Bose-Condensed Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Number-of-Particle Fluctuations and Stability of Bose-Condensed Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Number-of-Particle Fluctuations and Stability of Bose-Condensed Systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-686636