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We study the scaling properties of the entanglement entropy (EE) near quantum critical points in interacting random antiferromagnetic (AF) spin chains. Using density-matrix renormalization group, we compute the half-chain EE near the…

无序系统与神经网络 · 物理学 2024-03-05 Prashant Kumar , R. N. Bhatt

The entanglement in quantum XY spin chains of arbitrary length is investigated via the geometric (measure of) entanglement. The emergence of entanglement is explained intuitively from the perspective of perturbations. The model is solved…

量子物理 · 物理学 2011-04-06 Tzu-Chieh Wei , Smitha Vishveshwara , Paul M. Goldbart

At a quantum critical point, the universal scaling behavior of R\'enyi entanglement entropy is controlled by the universality class of the codimension-two R\'enyi (or conical) defects in the infrared theory. In this work we perform a…

强关联电子 · 物理学 2026-05-04 Yanzhang Zhu , Zhe Wang , Meng Cheng , Zheng Yan

We consider entanglement entropy of a cap-like region for a conformal field theory living on a sphere times a circle in d space-time dimensions. Assuming that the finite size of the system introduces a unique ground state with a nonzero…

高能物理 - 理论 · 物理学 2015-06-22 Christopher P. Herzog

The numerical renormalization group is used to study quantum entanglement in the Kondo impurity model with a pseudogapped density of states $\rho(\varepsilon)\propto|\varepsilon|^r$ ($r>0$) that vanishes at the Fermi energy $\varepsilon=0$.…

强关联电子 · 物理学 2018-10-10 Christopher Wagner , Tathagata Chowdhury , J. H. Pixley , Kevin Ingersent

The entanglement entropy of the ground state of a quantum lattice model with local interactions usually satisfies an area law. However, in 1D systems some violations may appear in inhomogeneous systems or in random systems. In our…

量子物理 · 物理学 2018-05-08 Giovanni Ramírez

We study entanglement dynamics in hybrid $\mathbb{Z}_2$-symmetric quantum automaton circuits subject to local composite measurements. We show that there exists an entanglement phase transition from a volume law phase to a critical phase by…

量子物理 · 物理学 2022-03-04 Yiqiu Han , Xiao Chen

Computing the subleading logarithmic term in the entanglement entropy (EE) of (2+1)d quantum many-body systems remains a significant challenge, despite its central role in revealing universal information about quantum states and quantum…

强关联电子 · 物理学 2026-01-06 Ben Lee-Yeung Ngai , Justin Tim-Lok Chau , Junchen Rong , Meng Cheng , Yuan Da Liao , Zi Yang Meng

We postulate the existence of universal crossover functions connecting the universal parts of the entanglement entropy to the low temperature thermal entropy in gapless quantum many-body systems. These scaling functions encode the intuition…

强关联电子 · 物理学 2013-05-30 Brian Swingle , T. Senthil

The laws of quantum-critical scaling theory of quantum fidelity, dependent on the underlying system dimensionality $D$, have so far been verified in exactly solvable $1D$ models, belonging to or equivalent to interacting, quadratic…

量子物理 · 物理学 2016-02-10 Mariusz Adamski , Janusz Jędrzejewski , Taras Krokhmalskii

We consider a spin ladder model which is known to have matrix product states as exact ground states with spin liquid characteristics. The model has two critical-point transitions at the parameter values u=0 and infinity. We study the…

量子物理 · 物理学 2008-03-18 Amit Tribedi , Indrani Bose

Critical phenomena have been extensively investigated both theoretically and experimentally in many fields, such as condensed matter physics, biology, e.g., brain criticality, and cosmology. In particular, the behaviour of response…

We study the Shannon entropy of the probability distribution resulting from the ground-state wave function of a one-dimensional quantum model. This entropy is related to the entanglement entropy of a Rokhsar-Kivelson-type wave function…

强关联电子 · 物理学 2009-11-25 Jean-Marie Stéphan , Shunsuke Furukawa , Grégoire Misguich , Vincent Pasquier

We extend the study of finite-entanglement scaling from one-dimensional gapless models to two-dimensional systems with a Fermi surface. In particular, we show that the entanglement entropy of a contractible spatial region with linear size…

强关联电子 · 物理学 2024-01-11 Quinten Mortier , Ming-Hao Li , Jutho Haegeman , Nick Bultinck

We study the entanglement entropies in one-dimensional open critical systems, whose effective description is given by a conformal field theory with boundaries. We show that for pure-state systems formed by the ground state or by the excited…

统计力学 · 物理学 2013-09-02 L. Taddia , J. C. Xavier , F. C. Alcaraz , G. Sierra

Recent works on the scaling behaviors of entanglement entropy at the SO(5) deconfined quantum critical point (DQCP) sparked a huge controversy. Different bipartitions gave out totally different conclusions for whether the DQCP is consistent…

强关联电子 · 物理学 2026-01-29 Yanzhang Zhu , Zenan Liu , Zhe Wang , Yan-Cheng Wang , Zheng Yan

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

The entanglement entropy in one dimensional critical systems with boundaries has been associated with the noninteger ground state degeneracy. This quantity, being a characteristic of boundary fixed points, decreases under renormalization…

统计力学 · 物理学 2017-08-30 Eyal Cornfeld , Eran Sela

We elucidate the topological features of the entanglement entropy of a region in two dimensional quantum systems in a topological phase with a finite correlation length $\xi$. Firstly, we suggest that simpler reduced quantities, related to…

强关联电子 · 物理学 2009-11-13 Stefanos Papanikolaou , Kumar S. Raman , Eduardo Fradkin

Using quantum simulations on classical hardware, we study the phase diagram of the massive Schwinger model with a $\theta$-term at finite chemical potential $\mu$. We find that the quantum critical point in the phase diagram of the model…

高能物理 - 唯象学 · 物理学 2023-12-05 Kazuki Ikeda , Dmitri E. Kharzeev , René Meyer , Shuzhe Shi