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The entanglement entropy of the random transverse-field Ising model is calculated by a numerical implementation of the asymptotically exact strong disorder renormalization group method in 2d, 3d and 4d hypercubic lattices for different…

统计力学 · 物理学 2012-03-23 István A. Kovács , Ferenc Iglói

We consider scaling of the entanglement entropy across a topological quantum phase transition in one dimension. The change of the topology manifests itself in a sub-leading term, which scales as $L^{-1/\alpha}$ with the size of the…

统计力学 · 物理学 2017-02-08 Yuting Wang , Tobias Gulden , Alex Kamenev

The effect of a co--dimension--2 spherical monodromy defect on the free--field theory of a conformal scalar is investigated. The conformal anomaly is computed (in two ways) and thence the R\'enyi and entanglement entropies. The $C_T$…

高能物理 - 理论 · 物理学 2022-01-11 J. S. Dowker

We study the entanglement entropy within a spherical region for a free scalar field in a squeezed state in 3+1 dimensions. We show that, even for small squeezing, a volume term appears, whose coefficient is essentially independent of the…

高能物理 - 理论 · 物理学 2024-10-28 Dimitrios Katsinis , Georgios Pastras , Nikolaos Tetradis

The entanglement entropy of a massless scalar field in de Sitter space depends on multiple scales, such as the radius of the entangling surface, the Hubble constant and the UV cutoff. We perform a high-precision numerical calculation using…

高能物理 - 理论 · 物理学 2025-09-03 Konstantinos Boutivas , Dimitrios Katsinis , Georgios Pastras , Nikolaos Tetradis

We compute universal finite corrections to entanglement entropy for generalised quantum Lifshitz models in arbitrary odd spacetime dimensions. These are generalised free field theories with Lifshitz scaling symmetry, where the dynamical…

高能物理 - 理论 · 物理学 2019-09-04 J. Angel-Ramelli , V. Giangreco M. Puletti , L. Thorlacius

We develop a nonequilibrium increment method to compute the R\'enyi entanglement entropy and investigate its scaling behavior at the deconfined critical (DQC) point via large-scale quantum Monte Carlo simulations. To benchmark the method,…

强关联电子 · 物理学 2022-01-04 Jiarui Zhao , Yan-Cheng Wang , Zheng Yan , Meng Cheng , Zi Yang Meng

It has been realised that corners in entangling surfaces can induce new universal contributions to the entanglement entropy and R\'enyi entropy. In this paper we study universal corner contributions to entanglement negativity in three- and…

高能物理 - 理论 · 物理学 2016-08-24 Keun-Young Kim , Chao Niu , Da-Wei Pang

We consider the large $N$ interacting vector $O(N)$ model on a sphere in $4-\epsilon$ Euclidean dimensions. The Gaussian theory in the UV is taken to be either conformally or non-conformally coupled. The endpoint of the RG flow corresponds…

高能物理 - 理论 · 物理学 2016-03-23 Chris Akers , Omer Ben-Ami , Vladimir Rosenhaus , Michael Smolkin , Shimon Yankielowicz

We compute the entanglement and R\'enyi entropy growth after a global quench in various dimensions in free scalar field theory. We study two types of quenches: a boundary state quench and a global mass quench. Both of these quenches are…

高能物理 - 理论 · 物理学 2017-05-02 Jordan S. Cotler , Mark P. Hertzberg , Márk Mezei , Mark T. Mueller

We study different aspects of quantum entanglement and its measures, including entanglement entropy in the vacuum state of a certain Lifshitz scalar theory. We present simple intuitive arguments based on "non-local" effects of this theory…

高能物理 - 理论 · 物理学 2017-07-25 M. Reza Mohammadi Mozaffar , Ali Mollabashi

Scalar field contribution to entropy is studied in arbitrary D dimensional one parameter rotating spacetime by semiclassical method. By introducing the zenithal angle dependent cutoff parameter, the generalized area law is derived. The…

广义相对论与量子宇宙学 · 物理学 2009-11-11 M. Kenmoku , K. Ishimoto , K. K. Nandi , K. Shigemoto

We consider a bilayer quantum spin model with anisotropic intra-layer exchange couplings. By varying the anisotropy, the quantum critical phenomena changes from XY to Heisenberg to Ising universality class, with two, three and one modes…

统计力学 · 物理学 2015-06-19 Trithep Devakul , Rajiv R. P. Singh

We extend previous work on the perturbative expansion of the Renyi entropy, $S_q$, around $q=1$ for a spherical entangling surface in a general CFT. Applied to conformal scalar fields in various spacetime dimensions, the results appear to…

高能物理 - 理论 · 物理学 2015-06-22 Jeongseog Lee , Aitor Lewkowycz , Eric Perlmutter , Benjamin R. Safdi

We study the scaling behavior of the entanglement entropy of two dimensional conformal quantum critical systems, i.e. systems with scale invariant wave functions. They include two-dimensional generalized quantum dimer models on bipartite…

统计力学 · 物理学 2009-03-28 Benjamin Hsu , Michael Mulligan , Eduardo Fradkin , Eun-Ah Kim

We describe a holographic approach to explicitly compute the universal logarithmic contributions to entanglement and Renyi entropies for free conformal scalar and spinor fields on even-dimensional spheres. This holographic derivation…

高能物理 - 理论 · 物理学 2015-06-22 R. Aros , F. Bugini , D. E. Diaz

The multi-entropy and dihedral measures are a class of tractable measures for multi-partite entanglement, which are labeled by the R\'enyi index (or replica number) $n$ as in the R\'enyi entanglement entropy. The purpose of this article is…

高能物理 - 理论 · 物理学 2025-06-13 Jonathan Harper , Ali Mollabashi , Tadashi Takayanagi , Kenya Tasuki

We consider the logarithmic negativity, a measure of bipartite entanglement, in a general unitary 1+1-dimensional massive quantum field theory, not necessarily integrable. We compute the negativity between a finite region of length $r$ and…

高能物理 - 理论 · 物理学 2016-12-20 Olivier Blondeau-Fournier , Olalla A. Castro-Alvaredo , Benjamin Doyon

Most quantum divergences derive their structure from classical f-divergences or Renyi-type constructions, a dependence that obscures several quantum geometric effects. We introduce a quantum relative-alpha-entropy that extends Umegaki's…

量子物理 · 物理学 2026-04-09 Sayantan Roy , Atin Gayen , Aditi Kar Gangopadhyay , Sugata Gangopadhyay

The entanglement entropy in a quantum field theory between two regions of space has been shown in simple cases to be proportional to the volume of the hypersurface separating the regions. We prove that this is true for a free scalar field…

高能物理 - 理论 · 物理学 2008-11-26 Micheal S. Berger , Roman V. Buniy