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- W1760686186 abstract "We investigate the properties of hard core Bosons in harmonic traps over a wide range of densities. Bose-Einstein condensation is formulated using the one-body Density Matrix (OBDM) which is equally valid at low and high densities. The OBDM is calculated using diffusion Monte Carlo methods and it is diagonalized to obtain the natural single particle orbitals and their occupation, including the condensate fraction. At low Boson density, $na^3 < 10^{-5}$, where $n = N/V$ and $a$ is the hard core diameter, the condensate is localized at the center of the trap. As $na^3$ increases, the condensate moves to the edges of the trap. At high density it is localized at the edges of the trap. At $na^3 leq 10^{-4}$ the Gross-Pitaevskii theory of the condensate describes the whole system within 1%. At $na^3 approx 10^{-3}$ corrections are 3% to the GP energy but 30% to the Bogoliubov prediction of the condensate depletion. At $na^3 gtrsim 10^{-2}$, mean field theory fails. At $na^3 gtrsim 0.1$, the Bosons behave more like a liquid $^4$He droplet than a trapped Boson gas." @default.
- W1760686186 created "2016-06-24" @default.
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- W1760686186 date "2003-09-10" @default.
- W1760686186 modified "2023-09-26" @default.
- W1760686186 title "Natural orbitals and Bose-Einstein condensates in traps: A diffusion Monte Carlo analysis" @default.
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- W1760686186 doi "https://doi.org/10.1103/physreva.68.033602" @default.
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