In constrained Hilbert considering the symmetry to do Exact Diagonalization.

PXPConstrained is a a powerful exact numerical calculation package using Exact Diagonalization to deal with constrained quantum many-body problems, and leveraging the high performance of Julia. Especially, we use PXP model as example. It provides following functions:

• Generate (symmetric) basis in constrained Hilbert space, including Inversion symmetry, Translation symmetry.
• Provide different physical quantity in constrained Hilbert space, such as EE(Entanglement Entropy), TMI(Tri-paritie Mutual Information), MI(Mutual Information), QFI(Quantum Fisher information).
• Separate the hybridized denegerated scar and thermal states in zero energy subspace.

    N=12
    state=BitStr{N, Int}(0)
    basis = PXP_basis(N)
    H=PXP_Ham(N)
    rdm = rdm_PXP(N, collect(1:6), state)
    energy, states = eigen(H)
    scar, thermal_ensemble = sep_scar_FSA(N, energy, states)

pkg> add https://github.com/zzh-cycling/PXPConstrained.jl.git

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