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arXiv · 1212.1114

Particles, holes and solitons: a matrix product state approach

Damian Draxler·Jutho Haegeman·Tobias J. Osborne·Vid Stojevic·Laurens Vanderstraeten·Frank Verstraete
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Abstract

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 critical Lieb-Liniger model as a benchmark and excelent agreement with the exact solution is found. Additionally, we observe solitonic signatures of Lieb's Type II excitation. In addition, a non-integrable model is introduced 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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Damian Draxler, Jutho Haegeman, Tobias J. Osborne, Vid Stojevic, Laurens Vanderstraeten, Frank Verstraete. 2012-12-05. Particles, holes and solitons: a matrix product state approach. https://doi.org/10.1103/physrevlett.111.020402

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