Ground state of charged bosons confined in a harmonic trap
نویسندگان
چکیده
منابع مشابه
Ground state properties of a one - dimensional condensate of hard core bosons in a harmonic trap
The exact N-particle ground state wave function for a one-dimensional con-densate of hard core bosons in a harmonic trap is employed to obtain accurate numerical results for the one-particle density matrix, occupation number distribution of the natural orbitals, and momentum distribution. Our results show that the occupation of the lowest orbital varies as N 0.59 , in contrast to N 0.5 for a sp...
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In the theoretical description of recent experiments with dilute Bose gases confined in external potentials the Gross-Pitaevskii equation plays an important role. Its status as an approximation for the quantum mechanical many-body ground state problem has recently been rigorously clarified. A summary of this work is presented here.
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We propose a simple variational form of the wave function to describe the ground state and vortex states of a system of weakly interacting Bose gas in an anisotropic trap. The proposed wave function is valid for a wide range of the particle numbers in the trap. It also works well in the case of attractive interaction between the atoms. Further, it provides an easy and fast method to calculate t...
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Recent experimental breakthroughs in the treatment of dilute Bose gases have renewed interest in their quantum mechanical description, respectively in approximations to it. The ground state properties of dilute Bose gases confined in external potentials and interacting via repulsive short range forces are usually described by means of the Gross-Pitaevskii energy functional. In joint work with E...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2001
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.64.013603