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Quantum aging and dynamical universality in the long-range O(N→∞) model.

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Quantum aging in systems with long-range interactions shows unique dynamics. We studied this in the O(N) model, finding distinct correlation behaviors outside light cones.

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Area of Science:

  • Quantum many-body physics
  • Statistical mechanics
  • Condensed matter theory

Background:

  • Quantum quenches near criticality induce aging, a glassylike, out-of-equilibrium phenomenon.
  • Long-range interactions are prevalent in novel quantum systems, necessitating their study in aging dynamics.

Purpose of the Study:

  • Investigate quantum aging and dynamical universality in a d-dimensional O(N) model with long-range interactions (1/x^{d+σ}).
  • Analyze the impact of long-range coupling on correlation and response functions, particularly concerning nonlinear light cones.

Main Methods:

  • Exact treatment in the mean-field limit (N→∞).
  • Focus on correlation and response functions to identify scaling behavior.
  • Determination of the initial-slip exponent for short-time two-point functions.

Main Results:

  • Rich scaling behavior observed, dependent on spatial and temporal positions relative to the quench and local light cones.
  • Aging phenomena are qualitatively altered by long-range coupling, especially outside light cones.
  • Correlation functions decay as 1/x^{d+σ} outside the quench light cone but increase polynomially with time; response functions equilibrate at all distances for short time differences.

Conclusions:

  • Analytic findings align with numerical results, validating the theoretical framework.
  • The study provides a benchmark for understanding quantum aging in systems with long-range interactions.
  • Highlights the unique characteristics of aging dynamics driven by long-range couplings in quantum systems.