Exercise 1: Renormalization Group
Given the quantum Ising Hamiltonian in transverse field on a one-dimensional lattice with nearest neighbor interaction:
(a) Compute the ground state energy as a function of the transverse field λ by means of the real-space RG algorithm.
(b) Optional: Compute the ground state energy as a function of λ by means of the INFINITE DMRG algorithm. Compare the results between them and with the mean field solution.
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