Unraveling the nature of universal dynamics in $O(N)$ theories

Abstract

Many-body quantum systems far from equilibrium can exhibit universal scaling dynamics which defy standard classification schemes. Here, we disentangle the dominant excitations in the universal dynamics of highly-occupied $N$-component scalar systems using unequal-time correlators. While previous equal-time studies have conjectured the infrared properties to be universal for all $N$, we clearly identify for the first time two fundamentally different phenomena relevant at different $N$. We find all $N\ge 3$ to be indeed dominated by the same Lorentzian ``large-$N$'' peak, whereas $N=1$ is characterized instead by a non-Lorentzian peak with different properties, and for $N=2$ we see a mixture of two contributions.

arXiv comment5+4 pages, 4 figures (published version)

References in corpus (41)

• Phase space representation of quantum dynamics
• Introduction to Nonequilibrium Quantum Field Theory
• Dynamical Critical Phenomena in Driven-Dissipative Systems
• Ageing Properties of Critical Systems
• Non-thermal fixed points: effective weak-coupling for strongly correlated systems far from equilibrium
• Observation of universal dynamics in a spinor Bose gas far from equilibrium
• Turbulent thermalization process in heavy-ion collisions at ultrarelativistic energies
• Observation of universal dynamics in an isolated one-dimensional Bose gas far from equilibrium
• Relativistic Turbulence: A Long Way from Preheating to Equilibrium
• Classical aspects of quantum fields far from equilibrium
• Universal Prethermal Dynamics of Bose Gases Quenched to Unitarity
• Nonthermal fixed points, vortex statistics, and superfluid turbulence in an ultracold Bose gas
• Universal self-similar dynamics of relativistic and nonrelativistic field theories near nonthermal fixed points
• Universality far from equilibrium: From superfluid Bose gases to heavy-ion collisions
• Superfluid Turbulence: Nonthermal Fixed Point in an Ultracold Bose Gas
• Bose condensation far from equilibrium
• Basin of attraction for turbulent thermalization and the range of validity of classical-statistical simulations
• Aging and coarsening in isolated quantum systems after a quench: exact results for the quantum $O(N)$ model with $N\to \infty$
• Dynamical crossovers in prethermal critical states
• Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas
• Strong versus weak wave-turbulence in relativistic field theory
• Kinetic theory of non-thermal fixed points in a Bose gas
• Chern-Simons number asymmetry from CP violation at electroweak tachyonic preheating
• Relativistic Corrections to Nonrelativistic Effective Field Theories
• Nonlinear amplification of instabilities with longitudinal expansion
• Spectral function for overoccupied gluodynamics from real-time lattice simulations
• Extracting the field theory description of a quantum many-body system from experimental data
• Dynamic critical phenomena from spectral functions on the lattice
• Large-N kinetic theory for highly occupied systems
• Spectral function at high temperature in the classical approximation
• Low-energy effective theory of non-thermal fixed points in a multicomponent Bose gas
• Spectral functions and critical dynamics of the $O(4)$ model from classical-statistical lattice simulations
• Nonthermal Fixed Points in Quantum Field Theory Beyond the Weak-Coupling Limit
• Charge separation in Reheating after Cosmological Inflation
• Off-equilibrium infrared structure of self-interacting scalar fields: Universal scaling, Vortex-antivortex superfluid dynamics and Bose-Einstein condensation
• Breaking the Fluctuation-Dissipation Relation by Universal Transport Processes
• Noninvasive Measurement of Dynamic Correlation Functions
• Condensates in Relativistic Scalar Theories
• Universal scaling of unequal-time correlation functions in ultracold Bose gases far from equilibrium
• Highly occupied gauge theories in 2+1 dimensions: self-similar attractor
• Probing unitary two-time correlations in a neutral atom quantum simulator

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