Bose-Einstein Condensation of Small Systems
نویسندگان
چکیده
We look at the Yang-Lee zeros in the complex temperature plane of Bose-Einstein condensate in a harmonic trap of dimensions 2− 5. We apply the Grossmann classification scheme to characterize the phase transition. We observe how the true phase transition is approached in the infinite particle number limit. We find the scaling with respect to particle number of the imaginary part of the zero of the canonical partition function closest to the real axis.
منابع مشابه
Solitons for nearly integrable bright spinor Bose-Einstein condensate
Using the explicit forms of eigenstates for linearized operator related to a matrix version of Nonlinear Schrödinger equation, soliton perturbation theory is developed for the $F=1$ bright spinor Bose-Einstein condensates. A small disturbance of the integrability condition can be considered as a small correction to the integrable equation. By choosing appropriate perturbation, the soli...
متن کاملSimple criterion for the occurrence of Bose-Einstein condensation
We examine the occurrence of Bose-Einstein condensation in both nonrelativistic and relativistic systems with no self-interactions in a general setting. A simple condition for the occurrence of Bose-Einstein condensation can be given if we adopt generalized ζ-functions to define the quantum theory. We show that the crucial feature governing Bose-Einstein condensation is the dimension q associat...
متن کاملSimple criterion for the occurrence of Bose-Einstein condensation and the Meissner-Ochsenfeld effect
We examine the occurrence of Bose-Einstein condensation in both nonrelativistic and relativistic systems with no self-interactions in a general setting. A simple condition for the occurrence of Bose-Einstein condensation is given. We show that condensation can occur only if q ≥ 3, where q is the dimension associated with the continuous part of the eigenvalue spectrum of the Hamiltonian for nonr...
متن کاملRe-distribution (condensation) of magnons in a ferromagnet under pumping
Last years several experiments were performed, which studied the Bose-Einstein condensation of quasi-particles, in particular, magnons in magnetically ordered systems. Recently the Bose-Einstein condensation of magnons was observed at room temperatures in a ferromagnetic film. The theory of the condensation (re-distribution) of magnons under the conditions of pumping, which explains many featur...
متن کاملBose-Einstein Condensation for Homogeneous Interacting Systems with a One-Particle Spectral Gap
We prove rigorously the occurrence of zero-mode Bose-Einstein condensation for a class of continuous homogeneous systems of boson particles with superstable interactions. This is the first example of a translation invariant continuous Bose-system, where the existence of the Bose-Einstein condensation is proved rigorously for the case of non-trivial two-body particle interactions, provided there...
متن کاملFerroelectricity by Bose–Einstein condensation in a quantum magnet
The Bose-Einstein condensation is a fascinating phenomenon, which results from quantum statistics for identical particles with an integer spin. Surprising properties, such as superfluidity, vortex quantization or Josephson effect, appear owing to the macroscopic quantum coherence, which spontaneously develops in Bose-Einstein condensates. Realization of Bose-Einstein condensation is not restric...
متن کامل