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We propose that the broad architecture of the renormalization group flow in quantum field theories is, at least in part, fixed by unitarity. The precise statement is summarized in the Unitarity Flow Conjecture, which states that the…

高能物理 - 理论 · 物理学 2026-02-11 Ameya Chavda , Daniel McLoughlin , Sebastian Mizera , John Staunton

This review focuses on the field of quantum entanglement applied to condensed matter physics systems with strong correlations, a domain which has rapidly grown over the last decade. By tracing out part of the degrees of freedom of…

强关联电子 · 物理学 2016-08-11 Nicolas Laflorencie

Entanglement is the crucial ingredient of quantum many-body physics, and characterizing and quantifying entanglement in closed system dynamics of quantum simulators is an outstanding challenge in today's era of intermediate scale quantum…

量子物理 · 物理学 2021-08-31 Christian Kokail , Rick van Bijnen , Andreas Elben , Benoît Vermersch , Peter Zoller

We study in this work the ground state entanglement properties of finite XX spin-1/2 chains with random couplings, using Jordan-Wigner transformation. We divide the system into two parts and study reduced density matrices (RDMs) of its…

强关联电子 · 物理学 2013-08-27 Mohammad Pouranvari , Kun Yang

In this article we apply background-independent renormalization group methods to spin foam quantum gravity. It is aimed at extending and elucidating the analysis of a companion letter, in which the existence of a fixed point in the…

广义相对论与量子宇宙学 · 物理学 2017-07-21 Benjamin Bahr , Sebastian Steinhaus

We study the ground state quantum phase transition by means of entanglement in the one-dimensional asymmetric Hubbard model with open boundary condition. The local entanglement between the middle two sites and the rest of the system, and…

强关联电子 · 物理学 2009-11-13 W. L. Chan , S. J. Gu

The renormalization group flows of the one-dimensional anisotropic XY model and quantum Ising model under a transverse field are obtained by different multiscale entanglement renormalization ansatz schemes. It is shown that the optimized…

强关联电子 · 物理学 2015-05-19 M. Q. Weng

We study conformal field theories with boundaries, and their boundary renormalization group (RG) flows, using methods from quantum information theory. Positivity of the relative entropy, together with unitarity and Lorentz invariance, give…

高能物理 - 理论 · 物理学 2019-05-22 Horacio Casini , Ignacio Salazar Landea , Gonzalo Torroba

We study a vast family of continuum Rokhsar-Kivelson (RK) states, which have their groundstate encoded by a local quantum field theory. These describe certain quantum magnets, and are also important in quantum information. We prove the…

强关联电子 · 物理学 2022-09-07 Christian Boudreault , Clement Berthiere , William Witczak-Krempa

The renormalization group equations describing a finite 2DXY system with fourfold anisotropy are solved in two steps, in order to study the magnetic transition to paramagnetism in an ultrathin film. First, the equations are linearized near…

介观与纳米尺度物理 · 物理学 2022-07-27 D. Venus

We present detailed analytical calculations for an 1D Ising ring of arbitrary number of spin-1/2 particles, in order to reveal entanglement properties of the stationary states. We show that the ground state and specific eigenstates of the…

量子物理 · 物理学 2007-05-23 P. Štelmachovič , V. Bužek

We study the dynamics caused by transport of transverse magnetization in one dimensional transverse Ising chain at zero temperature. We observe that a class of initial states having product structure in fermionic momentum-space and…

统计力学 · 物理学 2017-11-03 Sirshendu Bhattacharyya , Subinay Dasgupta

The renormalization group flow of an integrable two dimensional quantum field theory which contains unstable particles is investigated. The analysis is carried out for the Virasoro central charge and the conformal dimensions as a function…

高能物理 - 理论 · 物理学 2009-12-31 O. A. Castro-Alvaredo , A. Fring

The problem of a quantum Ising degree of freedom coupled to a gapless bosonic mode appears naturally in many one dimensional systems, yet surprisingly little is known how such a coupling affects the Ising quantum critical point. We…

强关联电子 · 物理学 2017-02-21 Ori Alberton , Jonathan Ruhman , Erez Berg , Ehud Altman

We consider line defects in d-dimensional Conformal Field Theories (CFTs). The ambient CFT places nontrivial constraints on Renormalization Group (RG) flows on such line defects. We show that the flow on line defects is consequently…

高能物理 - 理论 · 物理学 2022-01-12 Gabriel Cuomo , Zohar Komargodski , Avia Raviv-Moshe

The Dyson hierarchical version of the quantum Ising chain with Long-Ranged power-law ferromagnetic couplings $J(r) \propto r^{-1-\sigma}$ and pure or random transverse fields is studied via real-space renormalization. For the pure case, the…

无序系统与神经网络 · 物理学 2015-05-22 Cecile Monthus

We investigate boundary critical phenomena from a quantum information perspective. Bipartite entanglement in the ground state of one-dimensional quantum systems is quantified using the Renyi entropy S_alpha, which includes the von Neumann…

强关联电子 · 物理学 2007-05-23 Huan-Qiang Zhou , Thomas Barthel , John Ove Fjaerestad , Ulrich Schollwoeck

Understanding entanglement remains one of the most intriguing problems in physics. While particle and site entanglement have been studied extensively, the investigation of length or energy scale entanglement, quantifying the information…

强关联电子 · 物理学 2025-12-19 Stefan Rohshap , Jheng-Wei Li , Alena Lorenz , Serap Hasil , Karsten Held , Anna Kauch , Markus Wallerberger

In this article, we present a novel approach to investigating entanglement in the context of quantum computing. Our methodology involves analyzing reduced density matrices at different stages of a quantum algorithm's execution and…

量子物理 · 物理学 2024-03-14 Ruge Lin

We investigate multipartite entanglement for quantum states of 3d space geometry, described via generalised random spin networks with fixed areas, in the context of background independent approaches to quantum gravity. We focus on…

高能物理 - 理论 · 物理学 2022-12-20 Goffredo Chirco , Simone Cepollaro , Gianluca Cuffaro , Vittorio D'Esposito