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We study the entanglement entropy of a scalar filed in 2+1 spacetime where space is modeled by a fuzzy sphere and a fuzzy disc. In both models we evaluate numerically the resulting entropies and find that they are proportional to the number…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Djamel Dou , Badis Ydri

We investigate the finite-size corrections of the entanglement entropy of critical ladders and propose a conjecture for its scaling behavior. The conjecture is verified for free fermions, Heisenberg and quantum Ising ladders. Our results…

统计力学 · 物理学 2015-06-22 J. C. Xavier , F. B. Ramos

The R\'enyi entanglement entropy in quantum many-body systems can be viewed as the difference in free energy between partition functions with different trace topologies. We introduce an external field $\lambda$ that controls the partition…

强关联电子 · 物理学 2020-03-20 Jonathan D'Emidio

In the expanding universe, two interacting fields are no longer in thermal contact when the interaction rate becomes smaller than the Hubble expansion rate. After decoupling, two subsystems are usually treated separately in accordance with…

高能物理 - 理论 · 物理学 2017-12-20 Yuichiro Nakai , Noburo Shiba , Masaki Yamada

We investigate entanglement entropy in a scalar field theory on the fuzzy sphere. The theory is realized by a matrix model. In our previous study, we confirmed that entanglement entropy in the free case is proportional to the square of the…

高能物理 - 理论 · 物理学 2019-12-06 Mariko Suzuki , Asato Tsuchiya

We study stationary states emerging after global quenches in which the time evolution is under local Hamiltonians that possess semilocal conserved operators. In particular, we study a model that is dual to quantum XY chain. We show that a…

统计力学 · 物理学 2023-11-28 Vanja Marić

We consider the effect of projective measurements on the quench dynamics of the bipartite entanglement entropy in one dimensional free fermionic systems. In our protocol, we consider projective measurements of a $U(1)$ conserved charge, the…

量子物理 · 物理学 2025-12-15 Riccardo Travaglino , Colin Rylands , Pasquale Calabrese

We calculate numerically the R\'enyi bipartite entanglement entropy of the ground state of Klein-Gordon field theory (coupled harmonic oscillators) after fixing the position (partial measurement) of some of the oscillators in $d=1,2$ and…

高能物理 - 理论 · 物理学 2016-03-29 M. A. Rajabpour

We discuss the entanglement entropy for a massive Klein-Gordon field in two Schwarzschild-like quantum black hole spacetimes, also including a nonminimal coupling term with the background scalar curvature. To compute the entanglement…

广义相对论与量子宇宙学 · 物理学 2025-06-10 Alessio Belfiglio , Orlando Luongo , Stefano Mancini , Sebastiano Tomasi

We investigate the dynamics of the XXZ spin chain after a geometric quench, which is realized by connecting two half-chains prepared in their ground states with zero and maximum magnetizations, respectively. The profiles of magnetization…

统计力学 · 物理学 2019-05-15 Matthias Gruber , Viktor Eisler

We revisit the problem of finding the entanglement entropy of a scalar field on a lattice by tracing over its degrees of freedom inside a sphere. It is known that this entropy satisfies the area law -- entropy proportional to the area of…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Saurya Das , S. Shankaranarayanan

Quantum field theory defined on a noncommutative space is a useful toy model of quantum gravity and is known to have several intriguing properties, such as nonlocality and UV/IR mixing. They suggest novel types of correlation among the…

高能物理 - 理论 · 物理学 2022-01-05 Shoichi Kawamoto , Tsunehide Kuroki

We study the capacity of entanglement in certain integrable scale-invariant theories which exhibit Lifshitz scaling symmetry with a generic dynamical exponent z at the critical point. This measure characterizes the width of the eigenvalue…

高能物理 - 理论 · 物理学 2025-08-19 Sare Khoshdooni , Komeil Babaei Velni , M. Reza Mohammadi Mozaffar

We consider the time evolution of entanglement entropy after a global quench in a strongly coupled holographic system, whose subsequent equilibration is described in the gravity dual by the gravitational collapse of a thin shell of matter…

高能物理 - 理论 · 物理学 2014-03-03 Hong Liu , S. Josephine Suh

We consider scalar field entanglement entropy generated with black hole of (sub)planck mass scale thus implying the unitary evolution of gravity. The dependence on the dimension of the Hilbert space for degrees of freedom located behind the…

广义相对论与量子宇宙学 · 物理学 2013-05-20 Maksym Teslyk , Olena Teslyk

We study the time dependence of the entanglement entropy of disjoint intervals following a global quantum quench in (1+1)-dimensional CFTs at large-$c$ with a sparse spectrum. The result agrees with a holographic calculation but differs…

高能物理 - 理论 · 物理学 2015-12-16 Stefan Leichenauer , Mudassir Moosa

We study the dynamics of (R\'enyi) mutual information, logarithmic negativity, and (R\'enyi) reflected entropy after exciting the ground state by a local operator. Together with recent results from Ref. [1], we are able to conjecture a…

高能物理 - 理论 · 物理学 2021-03-31 Jonah Kudler-Flam , Yuya Kusuki , Shinsei Ryu

In quantum spin chains at criticality, two types of scaling for the entanglement entropy exist: one comes from conformal field theory (CFT), and the other is for entanglement support of matrix product state (MPS) approximation. They…

统计力学 · 物理学 2011-09-02 Hiroaki Matsueda

We study entanglement entropy on the fuzzy sphere. We calculate it in a scalar field theory on the fuzzy sphere, which is given by a matrix model. We use a method that is based on the replica method and applicable to interacting fields as…

高能物理 - 理论 · 物理学 2016-06-21 Shizuka Okuno , Mariko Suzuki , Asato Tsuchiya

Using the formalism of the third quantization in canonical quantum gravity, the entropy of entanglement of a pair of universes created in the multiverse from the vacuum has lately been calculated. Here, we examine the differences between…

广义相对论与量子宇宙学 · 物理学 2021-11-17 Samuel Barroso Bellido