Quantum dynamics of cosmological particle production: interacting quantum field theories with matrix product states

Fuente: arXiv
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Autori principali: Budd, Evan, Florio, Adrien, Frenklakh, David, Mukherjee, Swagato
Natura: Preprint
Pubblicazione: 2026
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author Budd, Evan
Florio, Adrien
Frenklakh, David
Mukherjee, Swagato
author_facet Budd, Evan
Florio, Adrien
Frenklakh, David
Mukherjee, Swagato
contents Understanding real-time dynamics of interacting quantum fields in curved spacetime remains a major theoretical challenge. We employ tensor network methods to study such dynamics using interacting scalar and gauge theories in 1+1 spacetime dimensions, subject to a quench modeling a homogeneously expanding gravitational background. The models considered are the scalar $λϕ^4$ theory and the Schwinger model, i.e. a Dirac fermion coupled to a $U(1)$ gauge field which is equivalent via bosonization to a scalar field with a cosine self-interaction. In the free scalar limit, both theories reproduce known analytical results, providing a nontrivial numerical validation of bosonization in curved spacetime for the Schwinger model. Our central finding is that self-interactions lead to a suppression of gravitational particle production compared to the free-field case, as evidenced by two-point functions and the spectra of produced particles. We further examine the behavior of entanglement generation and find that interactions suppress entanglement growth in the $λϕ^4$ theory, while in the Schwinger model, the interplay between suppressed particle production and enhanced inter-particle correlations leads to more complex entanglement behavior. Our results pave the way for further explorations of nonperturbative quantum real-time dynamics of interacting scalar and gauge theories in arbitrary gravitational backgrounds.
format Preprint
id arxiv_https___arxiv_org_abs_2601_02331
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Quantum dynamics of cosmological particle production: interacting quantum field theories with matrix product states
Budd, Evan
Florio, Adrien
Frenklakh, David
Mukherjee, Swagato
High Energy Physics - Theory
Cosmology and Nongalactic Astrophysics
High Energy Physics - Lattice
High Energy Physics - Phenomenology
Understanding real-time dynamics of interacting quantum fields in curved spacetime remains a major theoretical challenge. We employ tensor network methods to study such dynamics using interacting scalar and gauge theories in 1+1 spacetime dimensions, subject to a quench modeling a homogeneously expanding gravitational background. The models considered are the scalar $λϕ^4$ theory and the Schwinger model, i.e. a Dirac fermion coupled to a $U(1)$ gauge field which is equivalent via bosonization to a scalar field with a cosine self-interaction. In the free scalar limit, both theories reproduce known analytical results, providing a nontrivial numerical validation of bosonization in curved spacetime for the Schwinger model. Our central finding is that self-interactions lead to a suppression of gravitational particle production compared to the free-field case, as evidenced by two-point functions and the spectra of produced particles. We further examine the behavior of entanglement generation and find that interactions suppress entanglement growth in the $λϕ^4$ theory, while in the Schwinger model, the interplay between suppressed particle production and enhanced inter-particle correlations leads to more complex entanglement behavior. Our results pave the way for further explorations of nonperturbative quantum real-time dynamics of interacting scalar and gauge theories in arbitrary gravitational backgrounds.
title Quantum dynamics of cosmological particle production: interacting quantum field theories with matrix product states
topic High Energy Physics - Theory
Cosmology and Nongalactic Astrophysics
High Energy Physics - Lattice
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2601.02331