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相关论文: Correlations and entanglement in quantum critical …

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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

We study the scaling of the Renyi entanglement entropy of two disjoint blocks of critical lattice models described by conformal field theories with central charge c=1. We provide the analytic conformal field theory result for the second…

统计力学 · 物理学 2015-03-19 Vincenzo Alba , Luca Tagliacozzo , Pasquale Calabrese

In this paper, we derive corrections to the subleading logarithmic term of the entanglement entropy in systems with spontaneous broken continuous symmetry. Using quantum Monte Carlo simulations, we show that the improved scaling formula…

强关联电子 · 物理学 2023-10-16 Zehui Deng , Lu Liu , Wenan Guo , H. Q. Lin

Entanglement in quantum XY spin chains of arbitrary length is investigated via a recently-developed global measure suitable for generic quantum many-body systems. The entanglement surface is determined over the phase diagram, and found to…

In this study, we explore the ground state phase diagram of the spin-1/2 XX chain model, which features $XZY-YZX$ type three-spin interactions (TSI). This model, while seemingly simple, reveals a rich tapestry of quantum behaviors. Our…

量子物理 · 物理学 2024-01-24 S. Mahdavifar , F. Khastehdel Fumani , B. Haghdoost , M. R. Soltani

We study the entanglement entropy scaling of the XXZ chain. While in the critical XY phase of the XXZ chain the entanglement entropy scales logarithmically with a coefficient that is determined by the associated conformal field theory, at…

强关联电子 · 物理学 2013-10-15 Pochung Chen , Zhi-long Xue , I. P. McCulloch , Ming-Chiang Chung , Miguel Cazalilla , S. -K. Yip

We develop a nonequilibrium increment method in quantum Monte Carlo simulations to obtain the R\'enyi entanglement entropy of various quantum many-body systems with high efficiency and precision. To demonstrate its power, we show the…

强关联电子 · 物理学 2022-07-01 Jiarui Zhao , Bin-Bin Chen , Yan-Cheng Wang , Zheng Yan , Meng Cheng , Zi Yang Meng

The power of matrix product states to describe infinite-size translational-invariant critical spin chains is investigated. At criticality, the accuracy with which they describe ground state properties of a system is limited by the size…

统计力学 · 物理学 2008-09-19 L. Tagliacozzo , Thiago. R. de Oliveira , S. Iblisdir , J. I. Latorre

We investigate the scaling of the R\'enyi $\alpha$-entropies in one-dimensional gapped quantum spin models. We show that the block entropies with $\alpha > 2$ violate the area law monotonicity and exhibit damped oscillations. Depending on…

强关联电子 · 物理学 2012-08-06 S. M. Giampaolo , S. Montangero , F. Dell'Anno , S. De Siena , F. Illuminati

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

The entanglement entropy in clean, as well as in random quantum spin chains has a logarithmic size-dependence at the critical point. Here, we study the entanglement of composite systems that consist of a clean and a random part, both being…

无序系统与神经网络 · 物理学 2017-11-28 Robert Juhász , István A. Kovács , Gergő Roósz , Ferenc Iglói

Based on large-scale quantum Monte Carlo simulations, we examine the correlations along the edges of two-dimensional semi-infinite quantum critical Heisenberg spin-$1/2$ systems. In particular, we consider coupled quantum spin-dimer systems…

强关联电子 · 物理学 2018-11-07 Lukas Weber , Francesco Parisen Toldin , S. Wessel

Entanglement entropy has proven invaluable to our understanding of quantum criticality. It is natural to try to extend the concept to non-unitary quantum mechanics, which has seen growing interest from areas as diverse as open quantum…

统计力学 · 物理学 2017-08-02 Romain Couvreur , Jesper Lykke Jacobsen , Hubert Saleur

We study the effects of a power-law trapping potential on the scaling behaviour of the entanglement at the quantum critical point of one-dimensional (1D) lattice particle systems. We compute bipartite von Neumann and Renyi entropies in the…

统计力学 · 物理学 2015-05-19 Massimo Campostrini , Ettore Vicari

We carry out a numerical study of the bi-partite entanglement entropy in the gapped regime of two paradigmatic quantum spin chain models: the Ising chain in an external magnetic field and the anti-ferromagnetic XXZ model. The universal…

高能物理 - 理论 · 物理学 2013-10-30 Emanuele Levi , Olalla A. Castro-Alvaredo , Benjamin Doyon

The purpose of the paper is mainly to investigate the quantum critical behavior of two-dimensional XY spin system by calculating quantum correlation and monogamy relation through implementation of quantum renormalization group theory.…

量子物理 · 物理学 2016-10-25 Meng Qin , Zhong-Zhou Ren , Xin Zhang

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 properties of multipartite quantum correlation (MQC) in a one-dimensional spin-1/2 $XY$ chain, where the three-spin reduced states are focused on and the four introduced MQC measures are based on entanglement negativity and…

量子物理 · 物理学 2023-11-09 Lin-Lin Su , Jun Ren , Z. D. Wang , Yan-Kui Bai

We consider one-dimensional quantum spin chain, which is called XX model, XX0 model or isotropic XY model in a transverse magnetic field. We study the model on the infinite lattice at zero temperature. We are interested in the entropy of a…

量子物理 · 物理学 2016-09-08 B. -Q. Jin , V. E. Korepin

The scaling of entanglement entropy for the nearest neighbor antiferromagnetic Heisenberg spin model is studied computationally for clusters joined by a single bond. Bisecting the balanced three legged Bethe Cluster, gives a second Renyi…

强关联电子 · 物理学 2017-10-13 Barry A. Friedman , Gregory C. Levine