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We study the non-equilibrium dynamics of conformal field theory (CFT) in 1+1 dimensions with a smooth position-dependent velocity $v(x)$ explicitly breaking translation invariance. Such inhomogeneous CFT is argued to effectively describe…

Mathematical Physics · Physics 2024-02-26 Per Moosavi

Recently, remarkably simple exact results were presented about the dynamics of heat transport in the local Luttinger model for nonequilibrium initial states defined by position-dependent temperature profiles. We present mathematical details…

Statistical Mechanics · Physics 2018-07-20 Krzysztof Gawedzki , Edwin Langmann , Per Moosavi

We study the thermal transport properties of general conformal field theories (CFTs) on curved spacetimes in the leading order viscous hydrodynamic limit. At the level of linear response, we show that the thermal transport is governed by a…

High Energy Physics - Theory · Physics 2017-02-08 Elliot Banks , Aristomenis Donos , Jerome P. Gauntlett , Tom Griffin , Luis Melgar

Conformal field theory (CFT) has been extremely successful in describing large-scale universal effects in one-dimensional (1D) systems at quantum critical points. Unfortunately, its applicability in condensed matter physics has been limited…

Strongly Correlated Electrons · Physics 2017-02-15 Jérôme Dubail , Jean-Marie Stéphan , Jacopo Viti , Pasquale Calabrese

In this sequel (to [Phys. Rev. Res. 3, 023044(2021)], arXiv:2006.10072), we study randomly driven $(1+1)$ dimensional conformal field theories (CFTs), a family of quantum many-body systems with soluble non-equilibrium quantum dynamics. The…

Statistical Mechanics · Physics 2022-11-01 Xueda Wen , Yingfei Gu , Ashvin Vishwanath , Ruihua Fan

In this paper we consider the energy and momentum transport in (1+1)-dimension conformal field theories (CFTs) that are deformed by an irrelevant operator $T\bar{T}$, using the integrability based generalized hydrodynamics, and holography.…

Statistical Mechanics · Physics 2021-03-23 Marko Medenjak , Giuseppe Policastro , Takato Yoshimura

The coupling between localized magnetic moments and itinerant electrons presents a plethora of interesting physics. The low-energy physics of some quantum impurity systems can be described using conformal field theory (CFT). In this paper,…

High Energy Physics - Theory · Physics 2019-11-26 Ying-Hai Wu , Hong-Hao Tu

We provide a pedagogical review of the main ideas and results in non-equilibrium conformal field theory and connected subjects. These concern the understanding of quantum transport and its statistics at and near critical points. Starting…

Statistical Mechanics · Physics 2016-12-20 Denis Bernard , Benjamin Doyon

We introduce an effective field theory (EFT) for conformal impurity by considering a pair of transversely displaced impurities and integrating out modes with mass inversely proportional to the separation distance. This EFT captures the…

High Energy Physics - Theory · Physics 2024-06-11 Oleksandr Diatlyk , Himanshu Khanchandani , Fedor K. Popov , Yifan Wang

We propose an effective conformal field theory (CFT) description of steady state incompressible fluid turbulence at the inertial range of scales in any number of spatial dimensions. We derive a KPZ-type equation for the anomalous scaling of…

High Energy Physics - Theory · Physics 2019-01-01 Yaron Oz

We consider possible conformal field theory (CFT) descriptions of the various inertial ranges that exist in $2d$ duality invariant Magnetohydrodynamics. Such models arise as effective theories of dyonic plasmas in 3 dimensions in which all…

High Energy Physics - Theory · Physics 2009-10-30 O. Coceal , W. A. Sabra , S. Thomas

We define a simple model of conformal field theory in random space-time environments, which we refer to as stochastic conformal field theory. This model accounts for the effects of dilute random impurities in strongly interacting critical…

Disordered Systems and Neural Networks · Physics 2017-09-20 Denis Bernard , Benjamin Doyon

We study the dissipative dynamics of a periodically driven inhomogeneous critical lattice model in one dimension. The closed system dynamics starting from pure initial states is well-described by a driven Conformal Field Theory (CFT), which…

Strongly Correlated Electrons · Physics 2022-11-08 Kenny Choo , Bastien Lapierre , Clemens Kuhlenkamp , Apoorv Tiwari , Titus Neupert , Ramasubramanian Chitra

This paper investigates the finite-temperature behavior of Conformal Field Theory (CFT) in Rindler vacuum, focusing on the relation between acceleration and thermality in quantum field theory. We illustrate how uniformly accelerated…

General Relativity and Quantum Cosmology · Physics 2024-10-02 Iftekher S. Chowdhury , Binay Prakash Akhouri , Shah Haque , Eric Howard

The accurate theoretical description of materials with strongly correlated electrons is a formidable challenge in condensed matter physics and computational chemistry. Dynamical Mean Field Theory (DMFT) is a successful approach that…

Emission and absorption of energy are fundamental aspects of non-equilibrium dynamics. The heating induced by driving a many-body system is perhaps the most straightforward diagnostic of the process of equilibration, or the lack thereof.…

Quantum Physics · Physics 2025-11-04 Liang-Hong Mo , Roderich Moessner , Hongzheng Zhao

We establish the emergence of a conformal field theory (CFT) in a (1+1)-dimensional hybrid quantum circuit right at the measurement-driven entanglement transition by revealing space-time conformal covariance of entanglement entropies and…

Quantum Physics · Physics 2021-09-15 Yaodong Li , Xiao Chen , Andreas W. W. Ludwig , Matthew P. A. Fisher

This study delves into the application of Conformal Field Theory (CFT) to understand information diffusion within digital media and its broader social implications. Focusing on the digital native generation, vulnerable to misinformation and…

Physics and Society · Physics 2024-04-29 Yasuko Kawahata

We study heat transfer in plane Couette flow laden with rigid spherical particles by means of direct numerical simulations using a direct-forcing immersed boundary method to account for the dispersed phase. A volume of fluid approach is…

Fluid Dynamics · Physics 2016-11-08 Mehdi Niazi Ardekani , Omid Abouali , Francesco Picano , Luca Brandt

In this paper and its sequel, we study non-equilibrium dynamics in driven 1+1D conformal field theories (CFTs) with periodic, quasi-periodic, and random driving. We study a soluble family of drives in which the Hamiltonian only involves the…

Statistical Mechanics · Physics 2021-04-19 Xueda Wen , Ruihua Fan , Ashvin Vishwanath , Yingfei Gu
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