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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…

强关联电子 · 物理学 2017-02-15 Jérôme Dubail , Jean-Marie Stéphan , Jacopo Viti , Pasquale Calabrese

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…

统计力学 · 物理学 2016-12-20 Denis Bernard , Benjamin Doyon

In this work, we study non-equilibrium dynamics in Floquet conformal field theories (CFTs) in 1+1D, in which the driving Hamiltonian involves the energy-momentum density spatially modulated by an arbitrary smooth function. This generalizes…

高能物理 - 理论 · 物理学 2021-03-03 Ruihua Fan , Yingfei Gu , Ashvin Vishwanath , Xueda Wen

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…

统计力学 · 物理学 2021-04-19 Xueda Wen , Ruihua Fan , Ashvin Vishwanath , Yingfei Gu

We propose and study a conformal field theory (CFT) model with random position-dependent velocity that, as we argue, naturally emerges as an effective description of heat transport in one-dimensional quantum many-body systems with certain…

统计力学 · 物理学 2019-02-15 Edwin Langmann , Per Moosavi

We consider the out-of-equilibrium transport in $T\bar{T}$-deformed (1+1)-dimension conformal field theories (CFTs). The theories admit two disparate approaches, integrability and holography, which we make full use of in order to compute…

统计力学 · 物理学 2021-03-23 Marko Medenjak , Giuseppe Policastro , Takato Yoshimura

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.…

统计力学 · 物理学 2021-03-23 Marko Medenjak , Giuseppe Policastro , Takato Yoshimura

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.…

量子物理 · 物理学 2025-11-04 Liang-Hong Mo , Roderich Moessner , Hongzheng Zhao

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…

统计力学 · 物理学 2022-11-01 Xueda Wen , Yingfei Gu , Ashvin Vishwanath , Ruihua Fan

We study 2+1 dimensional conformal field theories (CFTs) with a globally conserved U(1) charge, placed in a chemical potential which is periodically modulated along the spatial direction $x$ with zero average: $\mu(x) = V \cos(kx)$. The…

高能物理 - 理论 · 物理学 2014-01-29 Paul Chesler , Andrew Lucas , Subir Sachdev

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…

量子物理 · 物理学 2021-09-15 Yaodong Li , Xiao Chen , Andreas W. W. Ludwig , Matthew P. A. Fisher

We investigate the interplay between unitary and non-unitary driven many-body dynamics in (1+1)-dimensional quantum critical systems described by conformal field theory (CFT). By formulating a coherent state approach, we demonstrate that…

强关联电子 · 物理学 2025-09-29 Bastien Lapierre , Pietro Pelliconi , Shinsei Ryu , Julian Sonner

Given a $generic$ two-dimensional conformal field theory (CFT), we propose an analytically solvable setup to study the Floquet dynamics of the CFT, i.e., the dynamics of a CFT subject to a periodic driving. A complete phase diagram in the…

强关联电子 · 物理学 2018-05-23 Xueda Wen , Jie-Qiang Wu

Conformal field theories (CFT) play an important role in quantum field theories as they allow for exact studies that are hard to access without the conformal symmetries in place. A remarkable recent development is the application of…

强关联电子 · 物理学 2021-03-17 Malthe Andersen , Frederik Nørfjand , Nikolaj Thomas Zinner

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…

统计力学 · 物理学 2018-07-20 Krzysztof Gawedzki , Edwin Langmann , Per Moosavi

Classification of the non-equilibrium quantum many-body dynamics is a challenging problem in condensed matter physics and statistical mechanics. In this work, we study the basic question that whether a (1+1) dimensional conformal field…

统计力学 · 物理学 2020-11-24 Bo Han , Xueda Wen

We develop a method to calculate generic time-dependent correlation functions for inhomogeneous quantum quenches in (1+1)-dimensional conformal field theory (CFT) induced by sudden Hamiltonian deformations that modulate the energy density…

统计力学 · 物理学 2025-06-06 Xinyu Liu , Alexander McDonald , Tokiro Numasawa , Biao Lian , Shinsei Ryu

We find classes of driven conformal field theories (CFT) in d + 1 dimensions with d > 1, whose quench and Floquet dynamics can be computed exactly. The setup is suitable for studying periodic drives, consisting of square pulse protocols for…

高能物理 - 理论 · 物理学 2024-09-23 Diptarka Das , Sumit R. Das , Arnab Kundu , Krishnendu Sengupta

Employing the conformal welding technique, we find an exact expression for the Full Counting Statistics of energy transfers in a class of inhomogeneous nonequilibrium states of a (1+1)-dimensional unitary Conformal Field Theory. The…

数学物理 · 物理学 2019-06-20 Krzysztof Gawedzki , Karol K. Kozlowski

We study the properties {of a conformal field theory} (CFT) driven periodically with a continuous protocol characterized by a frequency $\omega_D$. Such a drive, in contrast to its discrete counterparts (such as square pulses or periodic…

高能物理 - 理论 · 物理学 2021-06-11 Diptarka Das , Roopayan Ghosh , Krishnendu Sengupta
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