Correlation functions of the quantum sine-Gordon model in and out of equilibrium

Kukuljan, Ivan (author), Sotiriadis, Spyros (author), Takács, Gábor (author)

Complete information on the equilibrium behavior and dynamics of quantum field theory (QFT) is provided by multipoint correlation functions. However, their theoretical calculation is a challenging problem, even for exactly solvable models. This has recently become an experimentally relevant problem, due to progress in cold-atom experiments simulating QFT models and directly measuring higher order correlations. Here we compute correlation functions of the quantum sine-Gordon model, a prototype integrable model of central interest from both theoretical and experimental points of view. Building upon the so-called truncated conformal space approach, we numerically construct higher order correlations in a system of finite size in various physical states of experimental relevance, both in and out of equilibrium. We measure deviations from Gaussianity due to the presence of interaction and analyze their dependence on temperature, explaining the experimentally observed crossover between Gaussian and non-Gaussian regimes. We find that correlations of excited states are markedly different from the thermal case, which can be explained by the integrability of the system. We also study dynamics after a quench, observing the effects of the interaction on the time evolution of correlation functions, their spatial dependence, and their non-Gaussianity as measured by the kurtosis.

• Language: English
• Keywords: statistical mechanics, quantum mechanics, quantum field theory, integrable models
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Year: 2018
• Number of pages: Str. 110402-1-110402-7
• Numbering: Vol. 121, iss. 11
• PID: 20.500.12556/RUL-104060
• UDC: 530.145
• ISSN on article: 0031-9007
• DOI: 10.1103/PhysRevLett.121.110402
• COBISS.SI-ID: 3251556
• Publication date in RUL: 03.10.2018

Record is a part of a journal

• Title: Physical review letters
• Shortened title: Phys. rev. lett.
• Publisher: American Physical Society
• ISSN: 0031-9007
• COBISS.SI-ID: 1282575

Secondary language

• Language: Slovenian
• Keywords: statistična mehanika, kvantna mehanika, kvantna teorija polja, integrabilni modeli

Projects

• Funder: EC - European Commission
• Funding programme: H2020
• Project number: 694544
• Name: Open many-body non-equilibrium systems
• Acronym: OMNES