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Out-of-time-order correlators (OTOCs) have proven to be a useful tool for studying thermalisation in quantum systems. In particular, the exponential growth of OTOCS, or scrambling, is sometimes taken as an indicator of chaos in quantum…

量子物理 · 物理学 2021-03-09 R. A. Kidd , A. Safavi-Naini , J. F. Corney

We study conformal field theory in $d=1$ space-time dimensions. We derive a dispersion relation for the 4-point correlation function of identical bosons and fermions, in terms of the double discontinuity. This extends the conformal…

高能物理 - 理论 · 物理学 2025-01-10 Dean Carmi , Sudip Ghosh , Trakshu Sharma

The self-consistent harmonic oscillator model including the three-dimensional cranking term is extended to describe collective excitations in the random phase approximation. It is found that quadrupole collective excitations associated with…

核理论 · 物理学 2009-11-06 W. D. Heiss , R. G. Nazmitdinov

Isotropic and homogeneous turbulence driven by an energy input modulated in time is studied within a variable range mean-field theory. The response of the system, observed in the second order moment of the large-scale velocity difference…

混沌动力学 · 物理学 2014-03-20 A. von der Heydt , S. Grossmann , D. Lohse

Classical conformal blocks naturally appear in the large central charge limit of 2D Virasoro conformal blocks. In the $AdS_{3}/CFT_{2}$ correspondence, they are related to classical bulk actions and are used to calculate entanglement…

高能物理 - 理论 · 物理学 2018-05-10 Máté Lencsés , Fábio Novaes

Out-of-time-order (OTO) operators have recently become popular diagnostics of quantum chaos in many-body systems. The usual way they are introduced is via a quantization of classical Lyapunov growth, which measures the divergence of…

量子物理 · 物理学 2019-02-19 Jordan S. Cotler , Dawei Ding , Geoffrey R. Penington

The out-of-time ordered correlator (OTOC) is a measure of scrambling of quantum information. Scrambling is intuitively considered to be a significant feature of chaotic systems and thus the OTOC is widely used as a measure of chaos. For…

We study general correlation functions of various quantum field theories in the holographic setup. Following the holographic proposal, we investigate correlation functions via a geodesic length connecting boundary operators. We show that…

高能物理 - 理论 · 物理学 2023-12-21 Hanse Kim , Jitendra Pal , Chanyong Park

We continue our study of the semi-classical (large central charge) expansion of the toroidal one-point conformal block in the context of the 2d/4d correspondence. We demonstrate that the Seiberg-Witten curve and (epsilon1-deformed)…

高能物理 - 理论 · 物理学 2015-06-19 Amir-Kian Kashani-Poor , Jan Troost

Swarmalators are oscillators that swarm through space as they synchronize in time. Introduced a few years ago to model many systems which mix synchrony with self-assembly, they remain poorly understood theoretically. Here we obtain the…

We apply Kadanoff's theory of marginal deformations of conformal field theories to twistfield deformations of Z_2 orbifold models in K3 moduli space. These deformations lead away from the Z_2 orbifold sub-moduli-space and hence help to…

高能物理 - 理论 · 物理学 2009-11-07 H. Eberle

We derive relations between standard order parameter correlations and the noise correlations in time of flight images, which are valid for systems with long range order as well as low dimensional systems with algebraic decay of…

其他凝聚态物理 · 物理学 2011-05-31 L. Mathey , A. Vishwanath , E. Altman

Out-of-time-order correlators (OTOCs) have become established as a tool to characterise quantum information dynamics and thermalisation in interacting quantum many-body systems. It was recently argued that the expected exponential growth of…

统计力学 · 物理学 2021-09-21 Marlon Brenes , Silvia Pappalardi , Mark T. Mitchison , John Goold , Alessandro Silva

We study Energy Correlators as probes of strongly-coupled nearly-conformal field theories within their holographically dual descriptions, focusing on the important features that appear in realistic theories going beyond the standard model.…

高能物理 - 理论 · 物理学 2026-01-16 Lorenzo Ricci , Raman Sundrum

We study real-time local correlators $\langle\mathcal{O}(\mathbf{x},t)\mathcal{O}(0,0)\rangle$ in chaotic quantum many-body systems. These correlators show universal structure at late times, determined by the dominant operator-space Feynman…

统计力学 · 物理学 2023-01-04 Adam Nahum , Sthitadhi Roy , Sagar Vijay , Tianci Zhou

In this paper we investigate measures of chaos and entanglement in rational conformal field theories in 1+1 dimensions. First, we derive a universal formula for the late time value of the out-of-time-ordered correlators for this class of…

高能物理 - 理论 · 物理学 2017-07-20 Pawel Caputa , Tokiro Numasawa , Alvaro Veliz-Osorio

We study the conformal window of QCD using perturbation theory, starting from the perturbative upper edge and going down as much as we can towards the strongly coupled regime. We do so by exploiting the available five-loop computation of…

高能物理 - 理论 · 物理学 2024-12-25 Lorenzo Di Pietro , Marco Serone

We consider critical one dimensional quantum systems initially prepared in their groundstate and perturbed by a smooth noise coupled to the energy density. By using conformal field theory, we deduce a universal description of the…

统计力学 · 物理学 2023-04-04 Alexios Christopoulos , Pierre Le Doussal , Denis Bernard , Andrea De Luca

The Kuramoto model, despite its popularity as a mean-field theory for many synchronization phenomenon of oscillatory systems, is limited to a first-order harmonic coupling of phases. For higher-order coupling, there only exists a…

适应与自组织系统 · 物理学 2020-01-22 Chen Chris Gong , Arkady Pikovsky

Chiral conformal field theories are characterized by a ground-state current at finite temperature, that could be observed, e.g. in the edge excitations of the quantum Hall effect. We show that the corresponding thermal conductance is…

介观与纳米尺度物理 · 物理学 2011-07-19 Andrea Cappelli , Marina Huerta , Guillermo R. Zemba
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