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相关论文: Criticality on R\'enyi defects at (2+1)$d$ O(3) qu…

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We characterize non-perturbatively the R\'enyi entropies of degree n=2,3,4, and 5 of three-dimensional, strongly coupled many-fermion systems in the scale-invariant regime of short interaction range and large scattering length, i.e. in the…

量子气体 · 物理学 2016-10-12 William J. Porter , Joaquín E. Drut

Entanglement exhibits universal behavior near the ground-state critical point where correlations are long-ranged and the thermodynamic entropy is vanishing. On the other hand, a quantum quench imparts extensive energy and results in a…

量子气体 · 物理学 2022-02-11 Sanku Paul , Paraj Titum , Mohammad F. Maghrebi

Universal scaling terms occurring in Renyi entanglement entropies have the potential to bring new understanding to quantum critical points in free and interacting systems. Quantitative comparisons between analytical continuum theories and…

We develop a method to calculate the bipartite entanglement entropy of quantum models, in the thermodynamic limit, using a Numerical Linked Cluster Expansion (NLCE) involving only rectangular clusters. It is based on exact diagonalization…

统计力学 · 物理学 2013-05-13 Ann B. Kallin , Katharine Hyatt , Rajiv R. P. Singh , Roger G. Melko

We study the multi-boundary entanglement structure of the state associated with the torus link complement $S^3 \backslash T_{p,q}$ in the set-up of three-dimensional SU(2)$_k$ Chern-Simons theory. The focal point of this work is the…

高能物理 - 理论 · 物理学 2020-12-24 Siddharth Dwivedi , Vivek Kumar Singh , Abhishek Roy

We consider the entanglement entropy in critical one-dimensional quantum systems with open boundary conditions. We show that the second R\'enyi entropy of an interval away from the boundary can be computed exactly, provided the same…

数学物理 · 物理学 2022-05-18 Benoit Estienne , Yacine Ikhlef , Andrei Rotaru

We analyze the critical properties and the entanglement scaling at the quantum critical points of the spin-half XY model on the two-dimensional square-lattice bilayer and necklace lattice, based on quantum Monte Carlo simulations on finite…

强关联电子 · 物理学 2015-10-12 Johannes Helmes , Stefan Wessel

We present a general theory of the corrections to the asymptotic behaviour of the Renyi entropies which measure the entanglement of an interval A of length L with the rest of an infinite one-dimensional system, in the case when this is…

统计力学 · 物理学 2011-02-16 John Cardy , Pasquale Calabrese

We have investigated scaling properties near the quantum critical point between the extended phase and the critical phase in the Aubry-Andr\'{e}-Harper model with p-wave pairing, which have rarely been exploited as most investigations focus…

无序系统与神经网络 · 物理学 2022-10-19 Ting Lv , Yu-Bin Liu , Tian-Cheng Yi , Liangsheng Li , Maoxin Liu , Wen-Long You

Recently it was shown that the growth of entanglement in an initially separable state, as measured by the purity of subsystems, can be characterized by a timescale that takes a universal form for any Hamiltonian. We show that the same…

量子物理 · 物理学 2018-02-15 Jesse C. Cresswell

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

For quantum critical spin chains without disorder, it is known that the entanglement of a segment of N>>1 spins with the remainder is logarithmic in N with a prefactor fixed by the central charge of the associated conformal field theory. We…

无序系统与神经网络 · 物理学 2009-11-10 G. Refael , J. E. Moore

We study the behavior of the R\'enyi entropies for the toric code subject to a variety of different perturbations, by means of 2D density matrix renormalization group and analytical methods. We find that R\'enyi entropies of different index…

量子物理 · 物理学 2013-05-31 Alioscia Hamma , Lukasz Cincio , Siddhartha Santra , Paolo Zanardi , Luigi Amico

Charged and symmetry-resolved R\'enyi entropies are entanglement measures quantifying the degree of entanglement within different charge sectors of a theory with a conserved global charge. We use holography to determine the dependence of…

高能物理 - 理论 · 物理学 2022-07-12 Stefano Baiguera , Lorenzo Bianchi , Shira Chapman , Damián A. Galante

We study the scaling behavior of the R\'enyi entanglement entropy with smooth boundaries at the phase transition point of the two-dimensional $J-Q_3$ model. Using the recently developed scaling formula [Deng {\it et al.}, Phys. Rev. B…

强关联电子 · 物理学 2024-09-19 Zehui Deng , Lu Liu , Wenan Guo , Hai-qing Lin

Using free-fermionic techniques we study the entanglement entropy of a block of contiguous spins in a large finite quantum Ising chain in a transverse field, with couplings of different types: homogeneous, periodically modulated and random.…

统计力学 · 物理学 2009-11-13 Ferenc Igloi , Yu-Cheng Lin

Entanglement criteria for an $n$-partite quantum system with continuous variables are formulated in terms of R\'{e}nyi entropies. R\'{e}nyi entropies are widely used as a good information measure due to many nice properties. Derived…

量子物理 · 物理学 2017-05-22 Alexey E. Rastegin

We introduce R\'enyi entropy of a subsystem energy as a natural quantity which closely mimics the behavior of the entanglement entropy and can be defined for all the quantum many body systems. For this purpose, consider a quantum chain in…

强关联电子 · 物理学 2019-11-13 Khadijeh Najafi , M. A. Rajabpour

We study how the universal contribution to entanglement entropy in a conformal field theory depends on the entangling region. We show that for a deformed sphere the variation of the universal contribution is quadratic in the deformation…

高能物理 - 理论 · 物理学 2015-02-17 Andrea Allais , Márk Mezei

We study the critical properties of the $3d$ $O(2)$ universality class in bounded domains through Monte Carlo simulations of the clock model. We use an improved version of the latter, chosen to minimize finite-size corrections at…

高能物理 - 格点 · 物理学 2021-10-25 Alessandro Galvani , Giacomo Gori , Andrea Trombettoni