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The two-dimensional Potts model can be studied either in terms of the original Q-component spins, or in the geometrical reformulation via Fortuin-Kasteleyn (FK) clusters. While the FK representation makes sense for arbitrary real values of…

统计力学 · 物理学 2015-03-19 Romain Vasseur , Jesper Lykke Jacobsen

Recent theoretical and experiments have explored the use of entangled photons as a spectroscopic probe of material systems. We develop here a theoretical description for entropy production in the scattering of an entangled biphoton state…

量子物理 · 物理学 2019-05-22 Hao Li , Andrei Piryatinski , Ajay Ram Srimath Kandada , Carlos Silva , Eric R. Bittner

We report on numerical investigation of fractal properties of critical interfaces in two-dimensional Potts models. Algorithms for finding percolating interfaces of Fortuin-Kasteleyn clusters, their external perimeters and interfaces of spin…

统计力学 · 物理学 2010-08-31 Alexey Zatelepin , Lev Shchur

An inversion method is formulated for extracting entanglement-related information on two-particle interactions in a one-dimensional system from measurable one-particle position- and momentum-distribution functions. The method is based on a…

量子物理 · 物理学 2017-01-31 I. Nagy , M. L. Glasser

We study the structure and dynamics of entanglement in CFTs and black holes. We use a local entanglement measure, the entanglement contour, which is a spatial density function for von Neumann entropy with some additional properties. The…

高能物理 - 理论 · 物理学 2022-03-09 Andrew Rolph

Potts spin systems play a fundamental role in statistical mechanics and quantum field theory, and can be studied within the spin, the Fortuin-Kasteleyn (FK) bond or the $q$-flow (loop) representation. We introduce a Loop-Cluster (LC) joint…

统计力学 · 物理学 2020-11-16 Lei Zhang , Manon Michel , Eren M. Elçi , Youjin Deng

Entanglement entropy in Deep Inelastic Scattering (DIS) from the DIS structure functions has emerged as a novel tool for probing observable quantities. The method proposed by Kharzeev-Levin to determine entanglement entropy in DIS from…

高能物理 - 唯象学 · 物理学 2026-02-12 G. R. Boroun

We propose a simple and realizable method using a two-particle interferometer for the experimental measurement of pairwise entanglement, assuming some prior knowledge about the quantum state. The basic idea is that the properties of the…

量子物理 · 物理学 2007-05-23 Jian-Ming Cai , Zheng-Wei Zhou , Guang-Can Guo

We investigate entanglement transfer from a system of two spin-entangled electron-hole pairs, each placed in a separate single mode cavity, to the photons emitted during their recombination process. Dipole selection rules and a splitting…

介观与纳米尺度物理 · 物理学 2010-06-24 Jan C. Budich , Bjoern Trauzettel

The concept of entanglement entropy appears in multiple contexts, from black hole physics to quantum information theory, where it measures the entanglement of quantum states. We investigate the entanglement entropy in a simple model, the…

介观与纳米尺度物理 · 物理学 2015-05-13 Karyn Le Hur

In this article, we investigate the quantum circuit complexity and entanglement entropy in the recently studied black hole gas framework using the two-mode squeezed states formalism written in arbitrary dimensional spatially flat…

高能物理 - 理论 · 物理学 2021-09-03 Kiran Adhikari , Sayantan Choudhury , Satyaki Chowdhury , K. Shirish , Abinash Swain

The valence-bond structure of spin-1/2 Heisenberg antiferromagnets is closely related to quantum entanglement. We investigate measures of entanglement entropy based on transition graphs, which characterize state overlaps in the overcomplete…

强关联电子 · 物理学 2010-12-27 Yu-Cheng Lin , Anders W. Sandvik

We study geometrical properties of interfaces in the random-temperature q-states Potts model as an example of a conformal field theory weakly perturbed by quenched disorder. Using conformal perturbation theory in q-2 we compute the fractal…

无序系统与神经网络 · 物理学 2010-04-22 Jesper L. Jacobsen , Pierre Le Doussal , Marco Picco , Raoul Santachiara , Kay Joerg Wiese

We study the three-point correlation function of the backbone in the two-dimensional $Q$-state Potts model using the Fortuin--Kasteleyn (FK) representation. The backbone is defined as the biconnected skeleton of an FK cluster after removing…

统计力学 · 物理学 2026-03-17 Ming Li , Youjin Deng , Jesper Lykke Jacobsen , Jesús Salas

The entanglement entropy of a subsystem of a quantum system is expressed, in the replica approach, through analytic continuation with respect to n of the trace of the n-th power of the reduced density matrix. This trace can be thought of as…

高能物理 - 理论 · 物理学 2008-12-18 Michele Caraglio , Ferdinando Gliozzi

In quantum spin chains at criticality, two types of scaling for the entanglement entropy exist: one comes from conformal field theory (CFT), and the other is for entanglement support of matrix product state (MPS) approximation. They…

统计力学 · 物理学 2011-09-02 Hiroaki Matsueda

Faraday rotation based on AC Stark shifts is a mechanism that can entangle the polarization variables of photons and atoms. We analyze the structure of such entanglement by using the Schmidt decomposition method. The time-dependence of…

量子物理 · 物理学 2009-11-13 S. K. Y. Lee , C. K. Law

High energy hadron interactions are commonly described by using a probabilistic parton model that ignores quantum entanglement present in the light-cone wave functions. Here we argue that since a high energy interaction samples an instant…

高能物理 - 唯象学 · 物理学 2022-04-26 Dmitri E. Kharzeev

It was pointed out by de Arcangelis et al. [Europhys. Lett. 14 (1991), 515] that the correct understanding of the percolation phenomenon of the Fortuin-Kasteleyn cluster in the Edwards-Anderson model is important since a dynamical…

无序系统与神经网络 · 物理学 2011-01-14 Chiaki Yamaguchi

Entanglement entropy in topologically ordered matter phases has been computed extensively using various methods. In this paper, we study the entanglement entropy of topological phases in two-spaces from a new perspective---the perspective…

强关联电子 · 物理学 2019-06-14 Yuting Hu , Yidun Wan
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