Damian Draxler, Jutho Haegeman, Tobias J. Osborne, Vid Stojevic, Laurens Vanderstraeten, Frank Verstraete
We introduce a variational method for calculating dispersion relations of translation invariant (1+1)-dimensional quantum field theories. The method is based on continuous matrix product states and can be implemented efficiently. We study the Lieb-Liniger model as a benchmark where, despite criticality, excellent agreement with the exact solution is found, including, clear solitonic effects in Lieb's Type II excitation. In addition, a non-integrable model is studied where a U(1)-symmetry breaking term is added to the Lieb-Liniger Hamiltonian. For this model we find evidence of a non-trivial bound-state excitation in the dispersion relation.
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http://arxiv.org/abs/1212.1114
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