heisenberg_chain_42.yaml

basis:
  number_spins: 42
  # Restrict the Hilbert space to the sector of zero magnetization
  hamming_weight: 21
  # Anti-symmetry upon global spin inversion
  spin_inversion: -1
  symmetries:
    # Translation symmetry with eigenvalue -1
    - permutation: [ 1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,
                    17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32,
                    33, 34, 35, 36, 37, 38, 39, 40, 41, 0]
      sector: 21
    # Parity with eigenvalue -1
    - permutation: [41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26,
                    25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10,
                    9, 8, 7, 6, 5, 4, 3, 2, 1, 0]
      sector: 1
hamiltonian:
  name: "Heisenberg Hamiltonian"
  terms:
    - matrix: [ [1,  0,  0,  0],
                [0, -1,  2,  0],
                [0,  2, -1,  0],
                [0,  0,  0,  1] ]
      # Nearest neighbour interaction with periodic boundary conditions
      sites: [ [ 0,  1], [ 1,  2], [ 2,  3], [ 3,  4], [ 4,  5], [ 5,  6], [ 6,  7],
               [ 7,  8], [ 8,  9], [ 9, 10], [10, 11], [11, 12], [12, 13], [13, 14],
               [14, 15], [15, 16], [16, 17], [17, 18], [18, 19], [19, 20], [20, 21],
               [21, 22], [22, 23], [23, 24], [24, 25], [25, 26], [26, 27], [27, 28],
               [28, 29], [29, 30], [30, 31], [31, 32], [32, 33], [33, 34], [34, 35],
               [35, 36], [36, 37], [37, 38], [38, 39], [39, 40], [40, 41], [41, 0] ]
observables: []
number_vectors: 1
max_primme_basis_size: 4
output: "data/heisenberg_chain_42.h5"