Out-of-horizon correlations following a quench in a relativistic quantum field theory
ID Kukuljan, Ivan (Author), ID Sotiriadis, Spyros (Author), ID Takács, Gábor (Author)

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One of the manifestations of relativistic invariance in non-equilibrium quantum field theory is the “horizon effect” a.k.a. light-cone spreading of correlations: starting from an initially short-range correlated state, measurements of two observers at distant space-time points are expected to remain independent until their past light-cones overlap. Surprisingly, we find that in the presence of topological excitations correlations can develop outside of horizon and indeed even between infinitely distant points. We demonstrate this effect for a wide class of global quantum quenches to the sine-Gordon model. We point out that besides the maximum velocity bound implied by relativistic invariance, clustering of initial correlations is required to establish the “horizon effect”. We show that quenches in the sine-Gordon model have an interesting property: despite the fact that the initial states have exponentially decaying correlations and cluster in terms of the bosonic fields, they violate the clustering condition for the soliton fields, which is argued to be related to the non-trivial field topology. The nonlinear dynamics governed by the solitons makes the clustering violation manifest also in correlations of the local bosonic fields after the quench.

Keywords:quantum field theory
Typology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Publication status:Published
Publication version:Version of Record
Number of pages:32 str.
Numbering:Vol. 2020, art. no. 224
PID:20.500.12556/RUL-124027 This link opens in a new window
ISSN on article:1029-8479
DOI:10.1007/JHEP07(2020)224 This link opens in a new window
COBISS.SI-ID:42999555 This link opens in a new window
Publication date in RUL:21.12.2020
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Record is a part of a journal

Title:The journal of high energy physics
Shortened title:J. high energy phys.
COBISS.SI-ID:1314148 This link opens in a new window

Secondary language

Keywords:kvantna teorija polja


Funder:EC - European Commission
Funding programme:H2020
Project number:694544
Name:Open Many-body Non-Equilibrium Systems

Funder:ARRS - Slovenian Research Agency
Project number:N1-0055
Name:Termalizacija v neravnovesnih kvantnih sistemih

Funder:ARRS - Slovenian Research Agency
Project number:P1-0402
Name:Matematična fizika

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