A geometric wave function for a few interacting bosons in a harmonic trap |
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| Institution: | 1. Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra ACT 0200, Australia;2. Instituto de Física da UFRGS, Porto Alegre, RS, Brazil;3. Quantum Sensors Lab, Department of Quantum Science, Australian National University, Canberra 0200, Australia;4. Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, 22290-180 Rio de Janeiro, Brazil |
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| Abstract: | We establish a new geometric wave function that combined with a variational principle efficiently describes a system of bosons interacting in a one-dimensional trap. By means of a combination of the exact wave function solution for contact interactions and the asymptotic behavior of the harmonic potential solution we obtain the ground state energy, probability density and profiles of a few boson system in a harmonic trap. We are able to access all regimes, ranging from the strongly attractive to the strongly repulsive one with an original and simple formulation. |
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