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DTSTART;TZID=Europe/Paris:20250916T140000
DTEND;TZID=Europe/Paris:20250916T160000
DTSTAMP:20260502T102252
CREATED:20250915T073939Z
LAST-MODIFIED:20250915T100413Z
UID:11640-1758031200-1758038400@fermi.univ-tlse3.fr
SUMMARY:Extracting Subleading Asymptotics from Finite-Size Scaling in One-Dimensional Quantum Liquids. - (Oleksandr Gamayun / LPT / Seminar). - 16/09/2025\, 14H
DESCRIPTION:Séminaire LPT \nOleksandr Gamayun (London Institute for Mathematical Sciences) \nSeminar LPT\, 16/09/2025\, 14H\, 3R4\, salle de conférence \nSummary\nThe hydrodynamic framework of Luttinger liquid theory conventionally describes one-dimensional quantum liquids of bosons\, fermions\, and spins. This approach predicts power-law asymptotic behavior of the correlation functions with the exponents governed by the dimensionless Luttinger parameter and determined by the thermodynamic properties of the system. While the universal exponents are well understood\, the non-universal prefactors can be computed through finite-size scaling of form factors (matrix elements). In this talk\, I present a method that goes further\, enabling the extraction of subleading asymptotic behavior directly from the full finite-size dependence of form factors. My primary example will be the tau function in the context of one-dimensional impenetrable bosons.
URL:https://fermi.univ-tlse3.fr/event/tba-oleksandr-gamayun-lpt-seminar-16-09-2025-14h/
LOCATION:Salle de conférence\, Bâtiment 3R4
CATEGORIES:Events,LPT,Seminars
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