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Update to v1.0:

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Major overhaul: All sections have been changed and improved.

  Added: Computation of the condensate fraction

  Added: Discussion and plots of correlation function and momentum distribution

  Added: Section on numerical computation

  Added: Appendices on functional analysis

  Added: Detailed analysis of the operator K_e

  Change: Parameters for numerical simulations.

  Change: Renamed "Simplified approach" to "Lieb's simplified approach"

  Added: More bibliography

  Added: Acknowledgements
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