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

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Universal features in the scalings of Shannon-R\'enyi entropies of many-body groundstates are studied for interacting spin-$\frac{1}{2}$ systems across (2+1) dimensional $O(3)$ critical points, using quantum Monte Carlo simulations on…

强关联电子 · 物理学 2014-04-23 David J. Luitz , Fabien Alet , Nicolas Laflorencie

We develop a nonequilibrium increment method to compute the R\'enyi entanglement entropy and investigate its scaling behavior at the deconfined critical (DQC) point via large-scale quantum Monte Carlo simulations. To benchmark the method,…

强关联电子 · 物理学 2022-01-04 Jiarui Zhao , Yan-Cheng Wang , Zheng Yan , Meng Cheng , Zi Yang Meng

We investigate the scaling of the entanglement spectrum and of the R\'enyi block entropies and determine its universal aspects in the ground state of critical and noncritical one-dimensional quantum spin models. In all cases, the scaling…

统计力学 · 物理学 2013-10-02 S. M. Giampaolo , S. Montangero , F. Dell'Anno , S. De Siena , F. Illuminati

The fate of quantum entanglement at finite-temperature phase transitions remains an open question, particularly for continuous symmetry breaking where zero-temperature Goldstone modes generate long-range correlations. Using large-scale…

强关联电子 · 物理学 2026-03-17 Dong-Xu Liu , Yi-Ming Ding , Zhe Wang , Zheng Yan

In a D=2+1 quantum critical system, the entanglement entropy across a boundary with a corner contains a subleading logarithmic scaling term with a universal coefficient. It has been conjectured that this coefficient is, to leading order,…

强关联电子 · 物理学 2014-12-10 E. M. Stoudenmire , Peter Gustainis , Ravi Johal , Stefan Wessel , Roger G. Melko

Although the leading-order scaling of entanglement entropy is non-universal at a quantum critical point (QCP), sub-leading scaling can contain universal behaviour. Such universal quantities are commonly studied in non-interacting field…

强关联电子 · 物理学 2013-10-08 Stephen Inglis , Roger G. Melko

The entanglement entropy for a quantum critical system across a boundary with a corner exhibits a sub-leading logarithmic scaling term with a scale-invariant coefficient. Using a Numerical Linked Cluster Expansion, we calculate this…

强关联电子 · 物理学 2014-06-30 Ann B. Kallin , E. M. Stoudenmire , Paul Fendley , Rajiv R. P. Singh , Roger G. Melko

At a quantum critical point, bipartite entanglement entropies have universal quantities which are subleading to the ubiquitous area law. For Renyi entropies, these terms are known to be similar to the von Neumann entropy, while being much…

We explore the R\'enyi entanglement entropies of a one-dimensional (line) subsystem of length $L$ embedded in two-dimensional $L\times L$ square lattice for quantum spin models whose ground-state breaks a continuous symmetry in the…

强关联电子 · 物理学 2015-05-01 David J. Luitz , Xavier Plat , Fabien Alet , Nicolas Laflorencie

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 interplay of quantum and classical fluctuations in the vicinity of a quantum critical point (QCP) gives rise to various regimes or phases with distinct quantum character. In this work, we show that the R\'enyi entropy is a precious tool…

统计力学 · 物理学 2023-12-29 Miha Srdinšek , Michele Casula , Rodolphe Vuilleumier

The charged (symmetry-resolved) vacuum R\'enyi entanglement entropy on a disk is computed in the limit of large U(1) global charge for any R\'enyi index. We show that it behaves universally for a broad class of conformal field theories…

高能物理 - 理论 · 物理学 2025-10-08 Masataka Watanabe

We consider a bilayer quantum spin model with anisotropic intra-layer exchange couplings. By varying the anisotropy, the quantum critical phenomena changes from XY to Heisenberg to Ising universality class, with two, three and one modes…

统计力学 · 物理学 2015-06-19 Trithep Devakul , Rajiv R. P. Singh

We study the scaling behavior of the entanglement entropy of two dimensional conformal quantum critical systems, i.e. systems with scale invariant wave functions. They include two-dimensional generalized quantum dimer models on bipartite…

统计力学 · 物理学 2009-03-28 Benjamin Hsu , Michael Mulligan , Eduardo Fradkin , Eun-Ah Kim

The scaling of entanglement with subsystem size encodes key information about phases and criticality, but the von Neumann entropy is costly to access in experiments and simulations, often requiring full state tomography. The second R\'enyi…

强关联电子 · 物理学 2026-01-09 Hatem Barghathi , Adrian Del Maestro

We examine the scaling behavior of the entanglement entropy for the 2D quantum dimer model (QDM) at criticality and derive the universal finite sub-leading correction $\gamma_{QCP}$. We compute the value of $\gamma_{QCP}$ without…

统计力学 · 物理学 2010-11-10 Benjamin Hsu , Eduardo Fradkin

We present a study of the scaling behavior of the R\'{e}nyi entanglement entropy (REE) in SU($N$) spin chain Hamiltonians, in which all the spins transform under the fundamental representation. These SU($N$) spin chains are known to be…

强关联电子 · 物理学 2015-08-12 Jonathan D'Emidio , Matthew S. Block , Ribhu K. Kaul

It is generally believed that in spatial dimension d > 1 the leading contribution to the entanglement entropy S = - tr rho_A log rho_A scales as the area of the boundary of subsystem A. The coefficient of this "area law" is non-universal.…

统计力学 · 物理学 2009-10-24 Max A. Metlitski , Carlos A. Fuertes , Subir Sachdev

The R\'enyi-Shannon entropy associated to critical quantum spins chain with central charge $c=1$ is shown to have a phase transition at some value $n_c$ of the R\'enyi parameter $n$ which depends on the Luttinger parameter (or…

强关联电子 · 物理学 2011-11-30 Jean-Marie Stéphan , Grégoire Misguich , Vincent Pasquier

We study the Renyi entropy of the one-dimensional XYZ spin-1/2 chain in the entirety of its phase diagram. The model has several quantum critical lines corresponding to rotated XXZ chains in their paramagnetic phase, and four tri-critical…

统计力学 · 物理学 2011-02-01 Elisa Ercolessi , Stefano Evangelisti , Fabio Franchini , Francesco Ravanini
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