Details
| Original language | English |
|---|---|
| Article number | 020402 |
| Journal | Physical Review Letters |
| Volume | 111 |
| Issue number | 2 |
| Publication status | Published - 9 Jul 2013 |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Physical Review Letters, Vol. 111, No. 2, 020402, 09.07.2013.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Particles, holes, and solitons
T2 - A matrix product state approach
AU - Draxler, Damian
AU - Haegeman, Jutho
AU - Osborne, Tobias J.
AU - Stojevic, Vid
AU - Vanderstraeten, Laurens
AU - Verstraete, Frank
PY - 2013/7/9
Y1 - 2013/7/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84880119132&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.111.020402
DO - 10.1103/PhysRevLett.111.020402
M3 - Article
AN - SCOPUS:84880119132
VL - 111
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 2
M1 - 020402
ER -