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• W3057006949 abstract "Quantum quenches to or near criticality give rise to the phenomenon of textit{aging}, manifested by glassy-like dynamics at short times and far from equilibrium. The recent surge of interest in the dynamics of quantum many-body systems has rejuvenated interest in this phenomenon. Motivated by the ubiquitous long-range interactions in emerging experimental platforms, it is vital to study quantum aging in such settings. In this work, we investigate the dynamical universality and aging in the $d$-dimensional $O(N)$ model with the long-range coupling $1/x^{d+sigma}$ and in the mean-field limit $Ntoinfty$ that allows an exact treatment. An immediate consequence of long-range coupling is the emergence of nonlinear light cones. We focus on the correlation and response functions, and identify a rich scaling behavior depending on how the corresponding space-time positions are located relative to each other, via a textit{local light cone}, and to the time of the quench via a global textit{quench light cone}. We determine the initial-slip exponent that governs the short-time dependence of two-point functions. We highlight the new qualitative features of aging due to the long-range coupling, in particular in the region outside the light cones. As an important consequence of long-range coupling, the correlation function decays as $1/x^{d+sigma}$ outside the quench light cone while increasing polynomially with the total time after quench. This is while, for short time differences, the two-time response function equilibrates at textit{all} distances even outside this light cone. Our analytic findings are in excellent agreement with exact numerics, and provide a useful benchmark for modern experimental platforms with long-range interactions." @default.
• W3057006949 created "2020-08-24" @default.
• W3057006949 creator A5049062960 @default.
• W3057006949 creator A5080586506 @default.
• W3057006949 date "2021-05-28" @default.
• W3057006949 modified "2023-10-06" @default.
• W3057006949 title "Quantum aging and dynamical universality in the long-range<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:mi>N</mml:mi><mml:mo>→</mml:mo><mml:mi>∞</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>model" @default.
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• W3057006949 doi "https://doi.org/10.1103/physreve.103.052142" @default.
• W3057006949 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/34134217" @default.
• W3057006949 hasPublicationYear "2021" @default.
• W3057006949 type Work @default.
• W3057006949 sameAs 3057006949 @default.
• W3057006949 citedByCount "6" @default.

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