Physics – Quantum Physics
Scientific paper
2011-03-14
Phys. Rev. B 85, 035130 (2012)
Physics
Quantum Physics
13 pages, 11 figures, 5 tables
Scientific paper
10.1103/PhysRevB.85.035130
We study a matrix product state (MPS) algorithm to approximate excited states of translationally invariant quantum spin systems with periodic boundary conditions. By means of a momentum eigenstate ansatz generalizing the one of \"Ostlund and Rommer [1], we separate the Hilbert space of the system into subspaces with different momentum. This gives rise to a direct sum of effective Hamiltonians, each one corresponding to a different momentum, and we determine their spectrum by solving a generalized eigenvalue equation. Surprisingly, many branches of the dispersion relation are approximated to a very good precision. We benchmark the accuracy of the algorithm by comparison with the exact solutions of the quantum Ising and the antiferromagnetic Heisenberg spin-1/2 model.
Haegeman Jutho
Pirvu Bogdan
Verstraete Frank
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