Particles, Holes, and Solitons: A Matrix Product State Approach
Category: Scientific HighlightsPublished in Physical Review Letters
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 excellent agreement with the exact solution is found. Additionally, we observe solitonic signatures of Lieb’s type II excitation. In addition, a nonintegrable 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 nontrivial bound-state excitation in the dispersion relation.
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Draxler D., Haegeman J., Osborne T.J., Stojevic V., Vanderstraeten L., Verstraete F. (2013), Particles, Holes, and Solitons: A Matrix Product State Approach, Phys. Rev. Lett. 111, 020402. DOI:10.1103/PhysRevLett.111.020402
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