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We introduce R\'enyi entropy of a subsystem energy as a natural quantity which closely mimics the behavior of the entanglement entropy and can be defined for all the quantum many body systems. For this purpose, consider a quantum chain in…

强关联电子 · 物理学 2019-11-13 Khadijeh Najafi , M. A. Rajabpour

The entanglement entropy is a unique probe to reveal universal features of strongly interacting many-body systems. In two or more dimensions these features are subtle, and detecting them numerically requires extreme precision, a notoriously…

强关联电子 · 物理学 2024-03-05 Jonathan D'Emidio , Roman Orus , Nicolas Laflorencie , Fernando de Juan

We present universal relations between entanglement entropy, which quantifies the quantum correlation between subsystems, and the elastic cross section, which is the primary observable for high energy particle scattering, by employing a…

高能物理 - 理论 · 物理学 2024-10-31 Ian Low , Zhewei Yin

We consider two measures of entanglement, the logarithmic negativity and the entanglement entropy, between regions of space in excited states of many-body systems formed by a finite number of particle excitations. In parts I and II of the…

The entanglement properties of random quantum states or dynamics are important to the study of a broad spectrum of disciplines of physics, ranging from quantum information to high energy and many-body physics. This work investigates the…

量子物理 · 物理学 2018-07-10 Zi-Wen Liu , Seth Lloyd , Elton Yechao Zhu , Huangjun Zhu

We investigate the entanglement properties of the Quantum Six-Vertex Model on a cylinder, focusing on the Shannon-Renyi entropy in the limit of Renyi order $n = \infty$. This entropy, calculated from the ground state amplitudes of the…

量子物理 · 物理学 2026-03-19 Sunny Pradhan , Jesús Cobos , Enrique Rico , Germán Sierra

Charged and symmetry-resolved R\'enyi entropies are entanglement measures quantifying the degree of entanglement within different charge sectors of a theory with a conserved global charge. We use holography to determine the dependence of…

高能物理 - 理论 · 物理学 2022-07-12 Stefano Baiguera , Lorenzo Bianchi , Shira Chapman , Damián A. Galante

We study different aspects of quantum von Neumann and R\'enyi entanglement entropy of one dimensional long-range harmonic oscillators that can be described by well-defined non-local field theories. We show that the entanglement entropy of…

统计力学 · 物理学 2013-07-19 M. Ghasemi Nezhadhaghighi , M. A. Rajabpour

Exactly solving a spinless fermionic system in two and three dimensions, we investigate the scaling behavior of the block entropy in critical and non-critical phases. The scaling of the block entropy crucially depends on the nature of the…

量子物理 · 物理学 2012-04-25 Weifei Li , Letian Ding , Rong Yu , Tommaso Roscilde , Stephan Haas

The topological R\'enyi and entanglement entropies depend on the bipartition of the manifold and the choice of the ground states. However, these entanglement quantities remain invariant under a coordinate transformation when the bipartition…

强关联电子 · 物理学 2024-02-21 Chih-Yu Lo , Po-Yao Chang

We develop a unified framework for computing R\'enyi and entanglement entropies of arbitrary spacetime intervals in time-dependent states of $(1+1)$-dimensional conformal field theories. By combining the spacetime density matrix formalism…

高能物理 - 理论 · 物理学 2026-01-01 Wu-zhong Guo , Song He , Tao Liu

We analyze new data for self-avoiding polygons, on the square and triangular lattices, enumerated by both perimeter and area, providing evidence that the scaling function is the logarithm of an Airy function. The results imply universal…

统计力学 · 物理学 2009-11-07 C. Richard , A. J. Guttmann , I. Jensen

We derive a general formula for the replica partition function in the vacuum state, for a large class of interacting theories with fermions, with or without gauge fields, using the equal-time formulation on the light front. The result is…

高能物理 - 唯象学 · 物理学 2023-03-29 Yizhuang Liu , Maciej A. Nowak , Ismail Zahed

We study the $\lambda\phi^4$ model in $0+2$ dimensions at criticality, and effectuate a simultaneous scaling of UV and IR physics. We demonstrate that the order parameter $\phi$, the correlation length $\xi$ and quantities like $\phi^3$ and…

高能物理 - 格点 · 物理学 2022-11-18 Bram Vanhecke , Frank Verstraete , Karel Van Acoleyen

Within the unified framework of exploiting the relative entropy as a distance measure of quantum correlations, we make explicit the hierarchical structure of quantum coherence, quantum discord and quantum entanglement in multipartite…

量子物理 · 物理学 2015-08-19 Yao Yao , Xing Xiao , Li Ge , C. P. Sun

We study the $\pi^+ p$ elastic scattering process using an effective Lagrangian approach that incorporates the $s$-, $u$-, and $t$-channel amplitudes, including $\Delta^{++}(1232)$, $\Delta^{0}(1232)$, neutron, and $\rho^0$ contributions.…

高能物理 - 唯象学 · 物理学 2025-12-09 Seung-il Nam

We study the tripartite information I_3 of free fermions on two-dimensional lattices partitioned into three adjacent strips of width w. Translation invariance yields the exact decomposition I_3 = \sum_{k_y} g(k_F(k_y) w), where g(z) is a…

统计力学 · 物理学 2026-03-10 Aleksandrs Sokolovs

The subleading corner logarithmic corrections in entanglement entropy (EE) are crucial for revealing universal characteristics of the quantum critical points (QCPs), but they are challenging to detect. Motivated by recent developments in…

强关联电子 · 物理学 2025-03-31 Yuan Da Liao , Menghan Song , Jiarui Zhao , Zi Yang Meng

We study the scaling of the entanglement entropy in different classes of one-dimensional fermionic quasiperiodic systems with and without pairing, focusing on multifractal critical points/phases. We find that the entanglement entropy scales…

强关联电子 · 物理学 2024-03-12 Miguel Gonçalves

We study the scaling of the (basis dependent) Shannon entropy for two-dimensional quantum antiferromagnets with N\'eel long-range order. We use a massless free-field description of the gapless spin wave modes and phase space arguments to…

强关联电子 · 物理学 2017-06-12 Grégoire Misguich , Vincent Pasquier , Masaki Oshikawa