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[Fizinfo] BME Elm. Fiz. szeminarium, szept. 8. Fitos Bence

From: Janos Asboth <asboth.janos AT ttk.bme.hu>
To: fizinfo AT lists.kfki.hu, elmfiz.hallgatok AT lists.bme.hu, elmfiz.oktatok-kutatok AT lists.bme.hu, Bence Fitos <fitos5bence AT gmail.com>
Subject: [Fizinfo] BME Elm. Fiz. szeminarium, szept. 8. Fitos Bence
Date: Wed, 6 Sep 2023 13:41:35 +0200
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Meghívó

BME Elméleti Fizika Szeminárium,

szept. 8. péntek 10h15,

1111 Budapest, Budafoki út 8., BME F III. magasföldszint 01.,
Elméleti Fizika Tanszék szemináriumi szoba

Fitos Bence (BME Elm. Fiz. tanszék):
Weak vs. strong breaking of integrability in interacting scalar quantum
field theories

The recently proposed classification of integrability-breaking
perturbations according to their strength is studied in the context of
quantum field theories. Using random matrix methods to diagnose the
resulting quantum chaotic behaviour, we investigate the $\phi^4$ and
$\phi^6$ interactions of a massive scalar, by considering the crossover
between Poissonian and Wigner-Dyson distributions in systems truncated to a
finite-dimensional Hilbert space. We find that a naive extension of the
scaling of crossover coupling with the volume observed in spin chains does
not give satisfactory results for quantum field theory. Instead, we
demonstrate that considering the scaling of the crossover coupling with the
number of particles yields robust signatures, and is able to distinguish
between the strengths of integrability breaking in the $\phi^4$ and
$\phi^6$ quantum field theories.

[1]: B. Fitos and G. Takács: "Weak vs. strong breaking of integrability in
interacting scalar quantum field theories", arXiv:2305.02666 (2023)

Minden érdeklődőt szeretettel várunk.
Asbóth János,
szemináriumi koordinátor

[Fizinfo] BME Elm. Fiz. szeminarium, szept. 8. Fitos Bence, Janos Asboth, 09/06/2023