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The statistical mechanics characterization of a finite subsystem embedded in an infinite system is a fundamental question of quantum physics. Nevertheless, a full closed form { for all required entropic measures} does not exist in the…

量子物理 · 物理学 2022-03-23 Eldad Bettelheim , Aditya Banerjee , Martin B. Plenio , Susana F. Huelga

We study the logarithmic negativity and the moments of the partial transpose in the ground state of a two dimensional massless harmonic square lattice with nearest neighbour interactions for various configurations of adjacent domains. At…

统计力学 · 物理学 2017-04-20 Cristiano De Nobili , Andrea Coser , Erik Tonni

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

Quantum many-body systems have a rich structure in the presence of boundaries. We study the groundstates of conformal field theories (CFTs) and Lifshitz field theories in the presence of a boundary through the lens of the entanglement…

强关联电子 · 物理学 2022-09-07 Clément Berthiere , William Witczak-Krempa

Here, the entanglement entropy is calculated at the quantum multicritical point of the random transverse-field Ising model (RTIM). We use an efficient implementation of the strong disorder renormalization group method in two and three…

无序系统与神经网络 · 物理学 2024-04-22 István Kovács

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

We calculate numerically the logarithmic contribution to the entanglement entropy of a cylindrical region in three spatial dimensions for a Maxwell field. Our result does not agree with the analytical predictions concerning any conformal…

高能物理 - 理论 · 物理学 2018-08-07 Marina Huerta , Leonardo A. Pedraza

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 study the R\'enyi entanglement entropy (EE) of the two-dimensional $J$-$Q$ model, the emblematic quantum spin model of deconfined criticality at the phase transition between antiferromagnetic and valence-bond-solid ground states.…

强关联电子 · 物理学 2024-10-18 Jonathan D'Emidio , Anders W. Sandvik

In this paper we study the properties of two-dimensional CFTs defined by cyclic and symmetric orbifolds of free Dirac fermions, especially by focusing on the partition function and entanglement entropy. Via the bosonization, we construct…

高能物理 - 理论 · 物理学 2022-12-21 Tadashi Takayanagi , Takashi Tsuda

We study the symmetry resolved entanglement entropies in one-dimensional systems with boundaries. We provide some general results for conformal invariant theories and then move to a semi-infinite chain of free fermions. We consider both an…

统计力学 · 物理学 2021-09-30 Riccarda Bonsignori , Pasquale Calabrese

Studies of random unitary circuits have shown that the calculation of Renyi entropies of entanglement can be mapped to classical statistical mechanics problems in spacetime. In this paper, we develop an analogous spacetime picture of…

统计力学 · 物理学 2026-03-13 Tobias Swann , Denis Bernard , Adam Nahum

The entanglement entropy of an annulus is examined in a three-dimensional system with or without a gap. For a free massive scalar field theory, we numerically calculate the mutual information across an annulus. We also study the holographic…

高能物理 - 理论 · 物理学 2015-05-20 Yuki Nakaguchi , Tatsuma Nishioka

Despite significant progress in experimental quantum sciences, measuring entanglement entropy remains challenging. Through a geometric perspective, we reveal the intrinsic anti-symmetric nature of entanglement. We prove that most…

量子物理 · 物理学 2024-09-27 Peyman Azodi , Benjamin Lienhard , Herschel A. Rabitz

Quantum phases characterized by surfaces of gapless excitations are known to violate the otherwise ubiquitous boundary law of entanglement entropy in the form of a multiplicative log correction: $S\sim L^{d-1} \log L$. Using variational…

强关联电子 · 物理学 2016-09-07 Ryan V. Mishmash , Olexei I. Motrunich

We calculate in detail the Renyi entanglement entropies of cTPQ states as a function of subsystem volume, filling the details of our prior work [Nature Communications 9, 1635 (2018)], where the formulas were first presented. Working in a…

统计力学 · 物理学 2019-01-30 Hiroyuki Fujita , Yuya O. Nakagawa , Sho Sugiura , Masataka Watanabe

In a remarkable paper [Phys. Rev. Lett. 96, 100503 (2006)], Dimitri Gioev and Israel Klich conjectured an explicit formula for the leading asymptotic growth of the spatially bi-partite von-Neumann entanglement entropy of non-interacting…

数学物理 · 物理学 2015-03-03 Hajo Leschke , Alexander V. Sobolev , Wolfgang Spitzer

We calculate the entanglement entropy of strongly correlated low-dimensional fermions in metallic, superfluid and antiferromagnetic insulating phases. The entanglement entropy reflects the degrees of freedom available in each phase for…

强关联电子 · 物理学 2009-11-11 V. V. França , K. Capelle

Renyi entropies S_q are useful measures of quantum entanglement; they can be calculated from traces of the reduced density matrix raised to power q, with q>=0. For (d+1)-dimensional conformal field theories, the Renyi entropies across…

高能物理 - 理论 · 物理学 2012-05-15 Igor R. Klebanov , Silviu S. Pufu , Subir Sachdev , Benjamin R. Safdi

We compute the R\'enyi entropies of the massless Dirac field on the Euclidean torus (the Lorentzian cylinder at non-zero temperature) for arbitrary spatial regions. We do it by the resolvent method, i.e., we express the entropies in terms…

高能物理 - 理论 · 物理学 2022-02-24 David Blanco , Tomás Ferreira Chase , Juan Laurnagaray , Guillem Pérez-Nadal