exact diagonalization with U(1) symmetry in dilute systems

Codes

• unofficial python/julia test codes for QS-Cube/ED (see https://github.com/QS-Cube/ED https://arxiv.org/abs/2107.00872 )

• (Python version works at least for numba-0.54.1. If it does not work (possibly "f1 = p_xxz[0,j-1] in st_list" in "ham_to_vec_wave_vector_2"), please comment out "@jit(nopython=True)")

• spin 1/2, 1d Heisenberg, python

• spin 1/2, 1d Heisenberg, julia

• (# local Hilbert space) = (# particles) (no truncation), 1d Bose-Hubbard (U/J=10), Ponomarev basis, python

References

• spin 1/2

  • https://arxiv.org/abs/2107.00872
  • https://doi.org/10.1103/PhysRevB.101.235115 ( https://arxiv.org/abs/1912.11240 )

• general spin

  • https://doi.org/10.1016/j.jcp.2008.01.027 ( https://arxiv.org/abs/0706.3293 )

• Bose-Hubbard

  • tag method

    • https://doi.org/10.1088/0143-0807/31/3/016 ( https://arxiv.org/abs/1102.4006 )
    • https://github.com/MelkoCollective/BH_diagonalize
    • https://github.com/rgmelko/BH_diagonalize/blob/master/BH_basis.jl

  • Jeszenszki basis

    • https://doi.org/10.1016/j.chemphys.2011.10.003 ( http://coulson.chem.elte.hu/surjan/PREPRINTS/181.pdf )
    • https://github.com/0/JeszenszkiBasis.jl
    • https://github.com/0/JeszenszkiBasis.jl/blob/master/src/basis.jl

  • Ponomarev basis

    • https://doi.org/10.1088/1361-6455/aa68b1 ( https://arxiv.org/abs/1410.7280 )
    • https://www.tdx.cat/handle/10803/666723