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The topological entanglement entropy is used to measure long-range quantum correlations in the ground state of topological phases. Here we obtain closed form expressions for topological entropy of (2+1)- and (3+1)-dimensional loop gas…

Quantum Physics · Physics 2022-01-26 Jacob C. Bridgeman , Benjamin J. Brown , Samuel J. Elman

Quantifying multipartite entanglement in quantum many-body systems and hybrid quantum computing architectures is a fundamental yet challenging task. In recent years, thermodynamic quantities such as the maximum extractable work from an…

Quantum Physics · Physics 2025-11-06 Harsh Sharma , Sampriti Saha , A. S. Majumdar , Manik Banik , Himadri Shekhar Dhar

Entanglement and entropy are key concepts standing at the foundations of quantum and statistical mechanics, respectively. In the last decade the study of quantum quenches revealed that these two concepts are intricately intertwined.…

Strongly Correlated Electrons · Physics 2017-08-21 Vincenzo Alba , Pasquale Calabrese

Area laws describe how entanglement entropy scales and thus provide important necessary conditions for efficient quantum many-body simulation, but they do not, by themselves, yield a direct measure of computational complexity. Here we…

Quantum Physics · Physics 2026-04-28 Anna O. Schouten , David A. Mazziotti

Entanglement has been widely investigated in condensed matter systems since they are considered good candidates for developing quantum technologies. Additionally, entanglement is a powerful tool to explore quantum phase transitions in…

We investigate the connection between the entanglement entropy in scattering processes and the dynamics of electroweak phase transitions. Recent work has shown that the scattering entanglement entropy can provide new insight into Standard…

High Energy Physics - Phenomenology · Physics 2025-11-25 Jia Liu , Masanori Tanaka , Xiao-Ping Wang , Jing-Jun Zhang , Zifan Zheng

We consider Lifshitz criticalities with dynamical exponent $z=2$ that emerge in a class of topological chains. There, such a criticality plays a fundamental role in describing transitions between symmetry-enriched conformal field theories…

Statistical Mechanics · Physics 2022-04-26 Ke Wang , T. A. Sedrakyan

Repeated measurements can induce entanglement phase transitions in the dynamics of quantum systems. Interacting models, both chaotic and integrable, generically show a stable volume-law entangled phase at low measurement rates which…

Quantum Physics · Physics 2024-05-21 Luca Lumia , Emanuele Tirrito , Rosario Fazio , Mario Collura

We carry out a systematic study of entanglement entropy in relativistic quantum field theory. This is defined as the von Neumann entropy S_A=-Tr rho_A log rho_A corresponding to the reduced density matrix rho_A of a subsystem A. For the…

High Energy Physics - Theory · Physics 2011-02-16 Pasquale Calabrese , John Cardy

We study entanglement and other correlation properties of random states in high-dimensional bipartite systems. These correlations are quantified by parameters that are subject to the "concentration of measure" phenomenon, meaning that on a…

Quantum Physics · Physics 2007-05-23 Patrick Hayden , Debbie W. Leung , Andreas Winter

We demonstrate that the entropy of entanglement and the distillable entanglement of regions with respect to the rest of a general harmonic lattice system in the ground or a thermal state scale at most as the boundary area of the region.…

Quantum Physics · Physics 2009-11-11 M. Cramer , J. Eisert , M. B. Plenio , J. Dreissig

The notion of typicality in statistical mechanics is essential to characterize a macroscopic system. An overwhelming majority of the pure state looks almost identical if we neglect macroscopic non-local correlations, suggesting that thermal…

Statistical Mechanics · Physics 2022-04-26 Koji Yamaguchi

We study universal features in the shape dependence of entanglement entropy in the vacuum state of a conformal field theory (CFT) on $\mathbb{R}^{1,d-1}$. We consider the entanglement entropy across a deformed planar or spherical entangling…

High Energy Physics - Theory · Physics 2016-04-22 Thomas Faulkner , Robert G. Leigh , Onkar Parrikar

Entangled many-body states are an essential resource for quantum computing and interferometry. Determining the type of entanglement present in a system usually requires access to an exponential number of parameters. We show that in the case…

Quantum Physics · Physics 2014-11-17 Michael Walter , Brent Doran , David Gross , Matthias Christandl

The Tomonaga-Luttinger liquid (TLL) theory describes the low-energy excitations of strongly correlated one-dimensional (1D) fermions. In the past years, a number of studies have provided a detailed understanding of this universality class.…

Quantum Gases · Physics 2023-06-05 Danyel Cavazos-Cavazos , Ruwan Senaratne , Aashish Kafle , Randall G. Hulet

What entanglement is present in naturally occurring physical systems at thermal equilibrium? Most such systems are intractable and it is desirable to study simple but realistic systems which can be solved. An example of such a system is the…

Quantum Physics · Physics 2007-05-23 Tobias J. Osborne , Michael A. Nielsen

Interactions between electrons in solids are often behind exciting novel effects such as ferromagnetism, antiferromagnetism and superconductivity. All these phenomena break away from the single-electron picture, instead having to take into…

Strongly Correlated Electrons · Physics 2022-07-05 P. M. T. Vianez , O. Tsyplyatyev , C. J. B. Ford

The connectivity index, defined as the number of decoupled components of a separable quantum system, can change under deformations of the Hamiltonian or during the dynamical change of the system under renormalization group flow. Such…

High Energy Physics - Theory · Physics 2015-06-23 Francesco Aprile , Vasilis Niarchos

Despite the seeming simplicity of the theory, calculating (and even defining) entanglement entropy for the Maxwell theory of a $U(1)$ gauge field in (3+1) dimensions has been the subject of controversy. It is generally accepted that the…

High Energy Physics - Theory · Physics 2019-03-19 Michael Pretko

Entanglement is a key ingredient for quantum technologies and a fundamental signature of quantumness in a broad range of phenomena encompassing many-body physics, thermodynamics, cosmology, and life sciences. For arbitrary multiparticle…

Quantum Physics · Physics 2016-10-24 Marco Cianciaruso , Thomas R. Bromley , Gerardo Adesso
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