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We show that the Hilbert space of physical states on a pure $Z_2$ gauge lattice in $1 + 1$ and $2 + 1$ dimensions is geometrically separable if the fundamental physical degrees of freedom are taken to be the plaquettes. This results in a…

高能物理 - 格点 · 物理学 2017-08-22 Mihael Hategan

Entanglement entropy appears as a central property of quantum systems in broad areas of physics. However, its precise value is often sensitive to unknown microphysics, rendering it incalculable. By considering parametric dependence on…

高能物理 - 理论 · 物理学 2011-02-09 Mark P. Hertzberg , Frank Wilczek

Entropy has emerged as a dynamic, interdisciplinary, and widely accepted quantitative measure of uncertainty across different disciplines. A unified understanding of entropy measures, supported by a detailed review of their theoretical…

概率论 · 数学 2025-03-21 Naveen Kumar , Ambesh Dixit , Vivek Vijay

Recent advances in the field of strongly correlated electron systems allow to access the entanglement properties of interacting fermionic models, by means of Monte Carlo simulations. We briefly review the techniques used in this context to…

统计力学 · 物理学 2019-04-12 Francesco Parisen Toldin , Fakher F. Assaad

We construct a new class of entanglement measures by extending the usual definition of Renyi entropy to include a chemical potential. These charged Renyi entropies measure the degree of entanglement in different charge sectors of the theory…

高能物理 - 理论 · 物理学 2015-06-17 Alexandre Belin , Ling-Yan Hung , Alexander Maloney , Shunji Matsuura , Robert C. Myers , Todd Sierens

In present work, a relation that connects the integrated correlation function of a trapped two-particle system to infinite volume particles scattering phase shift is derived. It has the potential to provide an alternative approach for…

高能物理 - 格点 · 物理学 2023-09-20 Peng Guo , Vladimir Gasparian

In this study, we establish a connection between timelike and spacelike entanglement entropy. We show that timelike entanglement entropy is closely related to spacelike entanglement entropy and its temporal derivative. For a broad class of…

高能物理 - 理论 · 物理学 2026-01-01 Wu-zhong Guo , Song He , Yu-Xuan Zhang

We present a thorough analysis of the entanglement entropies related to different symmetry sectors of free quantum field theories (QFT) with an internal U(1) symmetry. We provide explicit analytic computations for the charged moments of…

高能物理 - 理论 · 物理学 2020-08-25 Sara Murciano , Giuseppe Di Giulio , Pasquale Calabrese

The Renyi entropies and entanglement entropy of 1+1 CFTs with gravity duals can be computed by explicit construction of the bulk spacetimes dual to branched covers of the boundary geometry. At the classical level in the bulk this has…

高能物理 - 理论 · 物理学 2013-12-16 Taylor Barrella , Xi Dong , Sean A. Hartnoll , Victoria L. Martin

The Green's function method has applications in several fields in Physics, from classical differential equations to quantum many-body problems. In the quantum context, Green's functions are correlation functions, from which it is possible…

介观与纳米尺度物理 · 物理学 2016-10-14 Mariana M. Odashima , Beatriz G. Prado , E. Vernek

We introduce a quantum Monte Carlo algorithm to measure the R\'enyi entanglement entropies in systems of interacting bosons in the continuum. This approach is based on a path integral ground state method that can be applied to interacting…

量子气体 · 物理学 2014-08-05 C. M. Herdman , Stephen Inglis , P. -N. Roy , R. G. Melko , A. Del Maestro

The large-scale behaviour of entanglement entropy in finite-density states, in and out of equilibrium, can be understood using the physical picture of particle pairs. However, the full theoretical origin of this picture is not fully…

量子物理 · 物理学 2024-05-21 Giuseppe Del Vecchio Del Vecchio , Benjamin Doyon , Paola Ruggiero

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 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.…

高能物理 - 理论 · 物理学 2018-04-25 Temple He , Javier M. Magan , Stefan Vandoren

In quantum field theories, spectral densities are directly related to relevant physical observables. In Lattice QCD, their non-perturbative extraction from first principles requires the Inverse Laplace transform of Euclidean-time…

高能物理 - 格点 · 物理学 2025-01-29 Matteo Saccardi , Mattia Bruno , Leonardo Giusti

The fermionic relative entropy in two-dimensional Rindler spacetime is studied using both modular theory and the reduced one-particle density operators. The methods and results are compared. A formula for the relative entropy for general…

数学物理 · 物理学 2026-03-23 Felix Finster , Albert Much

We study the relative entanglement entropies of one interval between excited states of a 1+1 dimensional conformal field theory (CFT). To compute the relative entropy $S(\rho_1 \| \rho_0)$ between two given reduced density matrices $\rho_1$…

高能物理 - 理论 · 物理学 2017-02-14 Paola Ruggiero , Pasquale Calabrese

We introduce a novel method for computing entanglement entropy across surfaces in Loop Quantum Gravity by employing techniques from quantum error correcting codes. In this construction, the redundancy encoded in the gauge invariant subspace…

广义相对论与量子宇宙学 · 物理学 2025-11-03 Sean Tobin

The aim of this paper is to find out a correspondence between one-loop effective action $W_E$ defined by means of path integral in Euclidean gravity and the free energy $F$ obtained by summation over the modes. The analysis is given for…

高能物理 - 理论 · 物理学 2011-07-19 D. Fursaev , A. Zelnikov

We define a new complex-valued measure of information called the timelike entanglement entropy (EE) which in the boundary theory can be viewed as a Wick rotation that changes a spacelike boundary subregion to a timelike one. An explicit…

高能物理 - 理论 · 物理学 2025-08-06 Kazuki Doi , Jonathan Harper , Ali Mollabashi , Tadashi Takayanagi , Yusuke Taki