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Exact diagonalization, maximal basis reduction for machine efficient computation of local ground state correlations of spin chains using QuSpin

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prikarsartam/programs_on_local_Ising_chains

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Several computations involving Exact Diagonalization of 1-dimensional spin systems, adiabatic gauge potentials and maximal reduction of symmetry based on used-defined operators.

Locality tests for nearest neighbour Ising chains with maximal basis reduced computation for highest machine efficiency, for chains with upto 10-spin locality.

Evaluated dataset for examining the critical phenomon in three-spin Ising chain.

h_values = np.linspace(0.8, 1.2, 256)

N = [6, 9, 12, 15, 18, 21, 24, 27]

Correlation:

  1. < Z >

Derivative of correlation: 2. dh_< Z > 3. dh_< Z >disconnected 4. dh < ZZ >connected 5. dh< Z0Z > 6. dh_< ZZZ > 7. dh_< XXX > 8. dh_< YYX > = dh_< XYY > 9. dh_< YXY >

metric response of relative entanglement entropy: 10. single site 11. 2-local sites 12. 3-local sites

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Exact diagonalization, maximal basis reduction for machine efficient computation of local ground state correlations of spin chains using QuSpin

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