Estado fundamental e excitações coletivas de condensados de Bose-Einstein espinoriais / Ground state and collective excitations od spinor Bose-Einstein condensates

AUTOR(ES)

Dimas Rodrigues Romano

DATA DE PUBLICAÇÃO

2007

RESUMO

In the framework of the Bogoliubov theory, we determined the equilibrium configurations and the collective excitations of a homogeneous Bose-Einstein S = 1 spinor condensate, in the presence and absence of an externa1 magnetic field. In this thesis we found the equilibrium configurations as function of the parameters and m, where q is the intensity of the quadratic term of the Zeeman energy, ca is the intensity of the spin dependent atom-atom interaction term, p is the condensate density and m the magnetization per particle. By the study of the behaviour of the collective excitation energies as function of the moment, we found the stable equilibrium configurations and we show that they can be classified by the miscibility of the components a = O and a f 1, which is a direct consequence of the axial symmetry in the spin space. Examining the phase diagram, we see that it depends on the antiferromagnetic or ferromagnetic character of the atoms. In the antiferromagnetic limit, the ground state is imiscible and with an undetermined phase. However in the ferromagnetic limit the ground state can be miscible and with a fixed phase. On the other hand, we see in both cases the dominance of the quadratic term of the Zeeman energy, wlien &>O in the antiferromagnetic limit and wlien A- >2 in the ferromagnetic limit. Phenomena such as condensate collapse and phase transition is also possible. This work differs from others by taking explicitly into account the conservation of the magnetization of the system, wich allowed us to perform a sistematic study of the equilibrium configurations, that can be a guide to future studies of effects that occur not only at the stable as also in the unstable regions

ASSUNTO(S)

física moderna condensado de bose-einstein física atômica atomic physics condensado de bose-einstein espinoral modern physics teoria de bogoliubov bose-einstein condensates

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