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Program for solving Bogoliubov de Gennes equation in a 2D opttical lattice system

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bogoliubov-de-gennes

Feature

This program describes the simulation of two-componet ultracold fermions trapped in a two dimentional optical lattice.
It is enable to simulate a variety of mesurable physical quantities by tunning 5 parameters of the following.

  • Hopping energy
  • Interparticle attractive interaction
  • Imbalanced population
  • Strength of a trapped potential
  • Temparature

Also, the program provide the following distributions in real space that can be simulated.

  • Up-spin particles or down-spin particles
  • Superfluid parameters
  • Magnetization

Model

The following Bogoliubov de Gennes Hamiltonian is determined numerically by diagonalization
within the mean field approximation.

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Program for solving Bogoliubov de Gennes equation in a 2D opttical lattice system

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