Random point field approach to analysis of anisotropic Bose-Einstein condensations
نویسنده
چکیده
Position distributions of constituent particles of the perfect Bose-gas trapped in exponentially and polynomially anisotropic boxes are investigated by means of the boson random point fields (processes) and by the spatial random distribution of particle density. Our results include the case of generalised Bose-Einstein Condensation. For exponentially anisotropic quasi two-dimensional system (SLAB), we obtain three qualitatively different particle density distributions. They correspond to the normal phase, the quasi-condensate phase (type III generalised condensation) and to the phase when the type III and the type I Bose condensations coexist. An interesting feature is manifested by the type II generalised condensation in one-directional polynomially anisotropic system (BEAM). In this case the particle density distribution rests truly random even in the macroscopic scaling limit.
منابع مشابه
Bose-Einstein condensation and entanglement in magnetic systems
We present a study of magnetic field induced quantum phase transitions in insulating systems. A generalized scaling theory is used to obtain the temperature dependence of several physical quantities along the quantum critical trajectory (H = HC , T → 0) where H is a longitudinal external magnetic field and HC the critical value at which the transition occurs. We consider transitions from a spin...
متن کاملSolitons 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 کاملA Random Point Field related to Bose-Einstein Condensation
The random point field which describes the position distribution of the system of ideal boson gas in a state of Bose-Einstein condensation is obtained through the thermodynamic limit. The resulting point field is given by convolution of two independent point fields: the so called boson process whose generating functional is represented by inverse of the Fredholm determinant for an operator rela...
متن کاملBOSE-EINSTEIN CORRELATIONS IN PION PRODUCTION AT TRISTAN
Measurement of Bose-Einstein correlations in the production of like-signed pion pairs has been made with the AMY detector at TRISTAN. An event sample of 10120 hadronic events with ranging between 50 to 61 GeV was used. These measurements indicate a strength of the enhancement of ? = 0.61M.07, with a typical correlation size of Ro = 1.16±.08 fm. This value of ? is consistent with measurem...
متن کاملar X iv : c on d - m at / 9 50 90 41 v 1 7 S ep 1 99 5 Bose - Einstein condensation in the harmonic oscillator potential
The Bose-Einstein condensation of a dilute gas of rubidium-87 atoms was achieved by cooling a small number of atoms in a magnetic trap. The effective potential of the trap is to lowest order harmonic and under these conditions we estimate the critical temperature and the heat capacity of an ideal gas of Bose particles. Previously this has been estimated within the semiclassical approximation. H...
متن کامل