Universality in quantum liquids and the Lattice Field Theory problem
ORAL
Abstract
Quantum gases with short-range interactions at ultralow temperature are usually ”universal”, in the
sense that details of interactions are irrelevant. This is the case thanks to a strong result due to
Dashen, Ma and Bernstein [1]. However, their results do not apply to quantum liquids. In this talk,
I will show that universality in quantum liquids is of a different nature [2], and that for continuum
liquids extreme care has to be taken when using non-renormalizable Lattice Field Theories for their
numerical characterization.
[1] S-matrix Formulation of Statistical Mechanics, R. Dashen, S.-K. Ma and H. J. Bernstein, Phys. Rev. 187, 345 (1972).
[2] Quantum liquids and droplets with low-energy interactions in one dimension, I. Morera, B.
Julia-Diaz and M. Valiente, Phys. Rev. Res. (to be published).
sense that details of interactions are irrelevant. This is the case thanks to a strong result due to
Dashen, Ma and Bernstein [1]. However, their results do not apply to quantum liquids. In this talk,
I will show that universality in quantum liquids is of a different nature [2], and that for continuum
liquids extreme care has to be taken when using non-renormalizable Lattice Field Theories for their
numerical characterization.
[1] S-matrix Formulation of Statistical Mechanics, R. Dashen, S.-K. Ma and H. J. Bernstein, Phys. Rev. 187, 345 (1972).
[2] Quantum liquids and droplets with low-energy interactions in one dimension, I. Morera, B.
Julia-Diaz and M. Valiente, Phys. Rev. Res. (to be published).
*This work is supported by the Ramón y Cajal Programme of the Spanish Ministry of Science and Innovation (RYC2020-029961-I), the University of La Laguna (ULL) and the Spanish Ministry of Science and Innovation (2022/0001532), and the Spanish Ministry of Science and Innovation through grant number PID2021-126039NA-I00.
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Publication: Quantum liquids and droplets with low-energy interactions in one dimension, I. Morera, B.
Julia-Diaz and M. Valiente, Phys. Rev. Res. (to be published).
Presenters
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Manuel Valiente
- Universidad de La Laguna