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In an equilibrium system, the Kolmogorov-Sinai entropy, $h_{\mathrm{KS}}$, equals the sum of the positive Lyapunov exponents, the exponential rates of divergence of infinitesimal perturbations. Kinetic theory may be used to calculate the…

Chaotic Dynamics · Physics 2009-11-11 Astrid S. de Wijn

We perform a first-principles, non-perturbative investigation of quantum entanglement between partonic constituents in a strongly coupled 3+1-dimensional scalar Yukawa theory, using light-front Hamiltonian methods with controlled Fock-space…

High Energy Physics - Phenomenology · Physics 2026-05-19 Wenyu Zhang , Wenyang Qian , Yiyu Zhou , Yang Li , Qun Wang

We provide an interpretation of the structure functions of a thermal medium such as the quark-gluon plasma in terms of the scattering of an incoming electron on the medium via the exchange of a spacelike photon. We then focus on the…

High Energy Physics - Phenomenology · Physics 2020-12-15 Tim Harris , Harvey B. Meyer , Arianna Toniato , Marco Cè

We discuss and compute entanglement entropy (EE) in (1+1)-dimensional free Lifshitz scalar field theories with arbitrary dynamical exponents. We consider both the subinterval and periodic sublattices in the discretized theory as subsystems.…

High Energy Physics - Theory · Physics 2018-04-25 Temple He , Javier M. Magan , Stefan Vandoren

In this paper we generalise the main result of a recent work by J. L. Cardy and the present authors concerning the bi-partite entanglement entropy between a connected region and its complement. There the expression of the leading order…

High Energy Physics - Theory · Physics 2008-11-26 O. A. Castro-Alvaredo , B. Doyon

We study the entanglement spectrum (ES) and entropy between two coupled Tomonaga-Luttinger liquids (TLLs) on parallel periodic chains. This problem gives access to the entanglement properties of various interesting systems, such as spin…

Strongly Correlated Electrons · Physics 2014-01-10 Rex Lundgren , Yohei Fuji , Shunsuke Furukawa , Masaki Oshikawa

We present and discuss the theory and phenomenology of the leading twist theory of nuclear shadowing which is based on the combination of the generalization of the Gribov-Glauber theory, QCD factorization theorems, and the HERA QCD analysis…

High Energy Physics - Phenomenology · Physics 2015-05-28 L. Frankfurt , V. Guzey , M. Strikman

We introduce a notion called entropic independence that is an entropic analog of spectral notions of high-dimensional expansion. Informally, entropic independence of a background distribution $\mu$ on $k$-sized subsets of a ground set of…

Data Structures and Algorithms · Computer Science 2021-11-08 Nima Anari , Vishesh Jain , Frederic Koehler , Huy Tuan Pham , Thuy-Duong Vuong

Determining the nonperturbative $s\bar{s}$ content of the nucleon has attracted considerable interest and been the subject of numerous experimental searches. These measurements used a variety of reactions and place important limits on the…

Nuclear Theory · Physics 2015-06-02 T. J. Hobbs , Mary Alberg , Gerald A. Miller

The quantum Ising chain of length, L, which is separated into two parts by localized or extended defects is considered at the critical point where scaling of the interface magnetization is non-universal. We measure the entanglement entropy…

Statistical Mechanics · Physics 2013-05-29 Ferenc Iglói , Zsolt Szatmári , Yu-Cheng Lin

We consider two prototypical quantum models, the spin-1/2 XY chain and the quantum Ising chain and study their entanglement entropy, S(l,L), of blocks of l spins in homogeneous or inhomogeneous systems of length L. By using two different…

Statistical Mechanics · Physics 2009-11-13 F. Iglói , R. Juhász

We study the new class of solutions in linearized open string field theory (OSFT) involving higher-spin modes. Unlike the elementary OSFT solutions (on-shell vertex operators) that, acting on a vacuum, define wavefunctions of pure states…

High Energy Physics - Theory · Physics 2019-08-06 Dimitri Polyakov

We consider the ground state of the XY model on an infinite chain at zero temperature. Following Bennett, Bernstein, Popescu, and Schumacher we use entropy of a sub-system as a measure of entanglement. Vidal, Latorre, Rico and Kitaev…

Quantum Physics · Physics 2009-11-10 A. R. Its , B. -Q. Jin , V. E. Korepin

We have performed a QCD next-to-leading order (NLO) calculation for Deep Inelastic Scattering (DIS) retaining the full parton and hadron mass dependencies. We find that the gluon initiated contributions to DIS processes, such as charm…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. A. G. Aivazis , Wu-Ki Tung , Fredrick Olness

The eikonalized parton-parton scattering amplitude at large $\sqrt{s}$ and large impact parameter, is dominated by the exchange of a hyperbolic surface in walled AdS. Its analytical continuation yields a worldsheet instanton that is at the…

High Energy Physics - Phenomenology · Physics 2019-08-14 Yizhuang Liu , Ismail Zahed

We consider a chain of spin-half particles of a finite length, evolved with the mixed-field Ising Hamiltonian and impose open boundary condition. We simulate the time evolution of entanglement entropy and mutual information following quench…

Statistical Mechanics · Physics 2024-02-22 Surbhi Khetrapal , Emil Tore Mærsk Pedersen

Deep inelastic scattering (DIS) of charged leptons off scalar mesons in the $1/N$ expansion is studied by using the gauge/gravity duality. We focus on the D3D7-brane system and investigate the corresponding structure functions by…

High Energy Physics - Theory · Physics 2016-09-06 Nicolas Kovensky , David Jorrin , Martin Schvellinger

Universal logarithmic terms in the entanglement entropy appear at quantum critical points (QCPs) in one dimension (1D) and have been predicted in 2D at QCPs described by 2D conformal field theories. The entanglement entropy in a strip…

Strongly Correlated Electrons · Physics 2017-12-13 Michael P. Zaletel , Jens H. Bardarson , Joel E. Moore

We examine the entanglement entropy of the even half of a translationally invariant finite chain or lattice in its ground state. This entropy measures the entanglement between the even and odd halves (each forming a "comb" of $n/2$ sites)…

Quantum Physics · Physics 2011-04-26 Raul Rossignoli , Norma Canosa , Juan Mauricio Matera

Entanglement entropy has emerged as a novel tool for probing nonperturbative quantum chromodynamics (QCD) phenomena, such as color confinement in protons. While recent studies have demonstrated its significant capability in describing…

High Energy Physics - Phenomenology · Physics 2024-12-05 Martin Hentschinski , Dmitri E. Kharzeev , Krzysztof Kutak , Zhoudunming Tu