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The different quantum phases appearing in strongly correlated systems as well as their transitions are closely related to the entanglement shared between their constituents. In 1D systems, it is well established that the entanglement…

强关联电子 · 物理学 2015-02-04 M. Moreno-Cardoner , S. Paganelli , G. De Chiara , A. Sanpera

We derive several new results for Renyi entropy, $S_n$, across generic entangling surfaces. We establish a perturbative expansion of the Renyi entropy, valid in generic quantum field theories, in deformations of a given density matrix. When…

高能物理 - 理论 · 物理学 2015-06-22 Aitor Lewkowycz , Eric Perlmutter

Anyonic systems are modeled by topologically protected Hilbert spaces which obey complex superselection rules restricting possible operations. These Hilbert spaces cannot be decomposed into tensor products of spatially localized subsystems,…

量子物理 · 物理学 2014-12-19 Kohtaro Kato , Fabian Furrer , Mio Murao

The entanglement entropy of a generic $d$-dimensional conformal field theory receives a regulator independent contribution when the entangling region contains a (hyper)conical singularity of opening angle $\Omega$, codified in a function…

高能物理 - 理论 · 物理学 2016-01-27 Pablo Bueno , Robert C. Myers

We consider entanglement entropy between regions of space in lattice gauge theory. The Hilbert space corresponding to a region of space includes edge states that transform nontrivially under gauge transformations. By decomposing the edge…

高能物理 - 理论 · 物理学 2012-04-27 William Donnelly

Conformal field theories in curved backgrounds have been used to describe inhomogeneous one-dimensional systems, such as quantum gases in trapping potentials and non-equilibrium spin chains. This approach provided, in a elegant and simple…

统计力学 · 物理学 2019-03-26 Sara Murciano , Paola Ruggiero , Pasquale Calabrese

Entropies associated with spatial subsystems in conventional local quantum field theories are typically divergent when the spatial regions have boundaries. However, in certain linear combinations of the entropies for various subsystems,…

高能物理 - 理论 · 物理学 2025-09-01 Mark Van Raamsdonk

In the vacuum state of a CFT, the entanglement entropy of singular surfaces contains a logarithmic universal term which is only due to the singularity of the entangling surface. We consider the relevant perturbation of a three dimensional…

高能物理 - 理论 · 物理学 2018-03-14 Mostafa Ghasemi , Shahrokh Parvizi

Researchers in physical science aim to uncover universal features in strongly interacting many-body systems, often hidden in complicated observables like entanglement entropy (EE). The non-local nature of EE makes it challenging to compute…

强关联电子 · 物理学 2025-04-22 Yuan Da Liao

Recently, tight-binding models on hyperbolic lattices (discretized AdS space) have gained significant attention, leading to hyperbolic band theory and non-Abelian Bloch states. In this paper, we investigate these quantum systems from the…

介观与纳米尺度物理 · 物理学 2025-05-01 Xiang-You Huang , Yao Zhou , Peng Ye

Entanglement asymmetry is a relative entropy that faithfully diagnoses symmetry breaking in quantum states, possibly within a spatial subregion. In this work, we extend such framework to higher-form symmetries and compute entanglement…

高能物理 - 理论 · 物理学 2026-02-26 Francesco Benini , Eduardo García-Valdecasas , Stathis Vitouladitis

We generalize the symmetric multi-qubit states to their q-analogs, whose basis vectors are identified with the q-Dicke states. We study the entanglement entropy in these states and find that entanglement is extruded towards certain regions…

量子物理 · 物理学 2013-10-14 Zhi-Hua Li , An-Min Wang

Entanglement measures have emerged as one of the versatile probes to diagnose quantum phases and their transitions. Universal features in them expand their applicability to a range of systems, including those with quenched disorder. In this…

无序系统与神经网络 · 物理学 2024-07-18 Subrata Pachhal , Adhip Agarwala

We analyze the subsystem size scaling of the entanglement entropy of a non-ergodic pure state that can be described by a multi-parametric Gaussian ensemble of complex matrices in a bipartite basis. Our analysis indicates, for a given set of…

量子物理 · 物理学 2024-12-11 Devanshu Shekhar , Pragya Shukla

Quantum entanglement between several particles is essential for applications like quantum metrology or quantum cryptography, but it is also central for foundational phenomena like quantum non-locality. This leads to the problem of…

量子物理 · 物理学 2025-10-10 Lisa T. Weinbrenner , Otfried Gühne

We study the entanglement entropy in confining theories with gravity duals using the holographic prescription of Ryu and Takayanagi. The entanglement entropy between a region and its complement is proportional to the minimal area of a bulk…

高能物理 - 理论 · 物理学 2009-11-18 Ari Pakman , Andrei Parnachev

We systematically investigate the finite size scaling behavior of the R\'enyi entanglement entropy (EE) of several representative 2d quantum many-body systems between a subregion and its complement, with smooth boundaries as well as…

强关联电子 · 物理学 2024-07-18 Menghan Song , Jiarui Zhao , Zi Yang Meng , Cenke Xu , Meng Cheng

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

We study the entanglement entropy in a relativistic quantum field theory for regions which are not included in a single spatial hyperplane. This geometric configuration cannot be treated with the Euclidean time method and the replica trick.…

高能物理 - 理论 · 物理学 2011-09-30 David D. Blanco , Horacio Casini

We review research on a number of situations where a quantum impurity or a physical boundary has an interesting effect on entanglement entropy. Our focus is mainly on impurity entanglement as it occurs in one dimensional systems with a…

统计力学 · 物理学 2010-05-07 Ian Affleck , Nicolas Laflorencie , Erik S. Sorensen