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We study the structure of divergences and universal terms of the entanglement and R\'enyi entropies for singular regions. First, we show that for $(3+1)$-dimensional free conformal field theories (CFTs), entangling regions emanating from…

高能物理 - 理论 · 物理学 2019-09-04 Pablo Bueno , Horacio Casini , William Witczak-Krempa

Cluster states were introduced in the context of measurement based quantum computing. In one dimension, the cluster Hamiltonian possesses topologically protected states. We investigate the Floquet dynamics of the cluster spin chain in an…

量子物理 · 物理学 2023-02-10 Alberto D. Verga

A tremendous amount of recent attention has focused on characterizing the dynamical properties of periodically driven many-body systems. Here, we use a novel numerical tool termed `density matrix truncation' (DMT) to investigate the…

强关联电子 · 物理学 2021-02-23 Bingtian Ye , Francisco Machado , Christopher David White , Roger S. K. Mong , Norman Y. Yao

It has been shown recently that local four-fermion interactions on the edges of two-dimensional time-reversal-invariant topological insulators give rise to a new non-Fermi-liquid phase, called helical Luttinger liquid (HLL). In this work,…

介观与纳米尺度物理 · 物理学 2017-10-27 N. Menezes , Giandomenico Palumbo , C. Morais Smith

This is an extended version of our short report hep-th/0603001, where a holographic interpretation of entanglement entropy in conformal field theories is proposed from AdS/CFT correspondence. In addition to a concise review of relevant…

高能物理 - 理论 · 物理学 2010-02-03 Shinsei Ryu , Tadashi Takayanagi

Near horizons, quantum fields of low spin exhibit densities of states that behave asymptotically like 1+1 dimensional conformal field theories. In effective field theory, imposing some short-distance cutoff, one can compute thermodynamic…

高能物理 - 理论 · 物理学 2024-04-30 Tom Banks , Patrick Draper

We provide a derivation of holographic entanglement entropy for spherical entangling surfaces. Our construction relies on conformally mapping the boundary CFT to a hyperbolic geometry and observing that the vacuum state is mapped to a…

高能物理 - 理论 · 物理学 2011-05-12 Horacio Casini , Marina Huerta , Robert C. Myers

In arXiv:1501.03019 [hep-th], the areas of certain complex extremal surfaces in de Sitter space were found to have resemblance with entanglement entropy in appropriate dual Euclidean non-unitary CFTs, with the area being real and negative…

高能物理 - 理论 · 物理学 2016-08-10 K. Narayan

A deSitter brane-world bounding regions of anti-deSitter space has a macroscopic entropy given by one-quarter the area of the observer horizon. A proposed variant of the AdS/CFT correspondence gives a dual description of this cosmology as…

高能物理 - 理论 · 物理学 2009-10-31 Stephen Hawking , Juan Maldacena , Andrew Strominger

We investigate the real time dynamics of the radiation produced by a local quench in a $d$-dimensional conformal field theory (CFT) with $d>2$. Using the interpretation of the higher-dimensional twist operator as a conformal defect, we…

高能物理 - 理论 · 物理学 2025-02-28 Lorenzo Bianchi , Andrea Mattiello , Jacopo Sisti

We consider disordered many-body systems with periodic time-dependent Hamiltonians in one spatial dimension. By studying the properties of the Floquet eigenstates, we identify two distinct phases: (i) a many-body localized (MBL) phase, in…

无序系统与神经网络 · 物理学 2015-04-16 Pedro Ponte , Z. Papić , François Huveneers , Dmitry A. Abanin

We evaluate the exact energy current and scaled cumulant generating function (related to the large-deviation function) in non-equilibrium steady states with energy flow, in any integrable model of relativistic quantum field theory (IQFT)…

高能物理 - 理论 · 物理学 2015-07-28 Olalla Castro-Alvaredo , Yixiong Chen , Benjamin Doyon , Marianne Hoogeveen

Symmetry Topological Field Theory (SymTFT) is a framework to capture universal features of quantum many-body systems by viewing them as a boundary of topological order in one higher dimension. This has yielded numerous insights in static…

强关联电子 · 物理学 2024-03-04 Vedant Motamarri , Campbell McLauchlan , Benjamin Béri

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 explore aspects of the physics of de Sitter (dS) space that are relevant to holography with a positive cosmological constant. First we display a nonlocal map that commutes with the de Sitter isometries, transforms the bulk-boundary…

高能物理 - 理论 · 物理学 2009-03-16 Vijay Balasubramanian , Jan de Boer , Djordje Minic

The dynamics of two superconducting flux qubits coupled to each other and to a common bath is discussed. We focus on the case in which the qubit-qubit coupling strength dominates over the respective qubit transition frequencies. We derive…

超导电性 · 物理学 2015-05-28 K. Xia , M. Macovei , J. Evers

We prove novel speed limits on the growth of entanglement, equal-time correlators, and spacelike Wilson loops in spatially uniform time-evolving states in strongly coupled CFTs with holographic duals. These bounds can also be viewed as…

高能物理 - 理论 · 物理学 2023-02-10 Åsmund Folkestad , Aditya Dhumuntarao

In this paper, we define the holographic multipartite entanglement entropy for $N$ separated subsystems living in a compact $\text{CFT}_d$ space-time. In a large $N$ limit, we find that the first-order holographic entanglement entropy…

高能物理 - 理论 · 物理学 2020-05-06 Hadyan Luthfan Prihadi , Donny Dwiputra , Freddy Permana Zen

We investigate entanglement entropy in $3d$ $\mathcal{N}=2$ superconformal field theories from two different perspectives. We first confirm that the dependence of supersymmetric entanglement entropy (as defined in arXiv:1306.2958) on the…

高能物理 - 理论 · 物理学 2024-10-28 Pedro Vicente Marto , Umut Gürsoy , Guim Planella Planas

Entanglement entropy provides a powerful characterization of two-dimensional gapped topological phases of quantum matter, intimately tied to their description by topological quantum field theories (TQFTs). Fracton topological orders are…

强关联电子 · 物理学 2018-03-08 Han Ma , A. T. Schmitz , S. A. Parameswaran , Michael Hermele , Rahul M. Nandkishore