Journal
PHYSICAL REVIEW LETTERS
Volume 111, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.111.020402
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Funding
- EU
- Austrian FWF SFB
- Research Foundation Flanders
- Doctoral Scholarship of the Special Research Fund UGent
- cluster of excellence EXC 201 Quantum Engineering and Space-Time Research
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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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