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We study the bipartite entanglement entropy of the two-dimensional (2D) transverse-field Ising model in the thermodynamic limit using series expansion methods. Expansions are developed for the Renyi entropy around both the small-field and…

统计力学 · 物理学 2012-09-19 Rajiv R. P. Singh , Roger G. Melko , Jaan Oitmaa

Operationally accessible entanglement in bipartite systems of indistinguishable particles could be reduced due to restrictions on the allowed local operations as a result of particle number conservation. In order to quantify this effect,…

量子气体 · 物理学 2018-10-17 Hatem Barghathi , C. M. Herdman , Adrian Del Maestro

In quantum spin chains at criticality, two types of scaling for the entanglement entropy exist: one comes from conformal field theory (CFT), and the other is for entanglement support of matrix product state (MPS) approximation. They…

统计力学 · 物理学 2011-09-02 Hiroaki Matsueda

We present a scheme for measuring R\'enyi entropies in generic atomic Hubbard and spin models using single copies of a quantum state and for partitions in arbitrary spatial dimension. Our approach is based on the generation of random…

量子物理 · 物理学 2018-02-07 Andreas Elben , Benoît Vermersch , Marcello Dalmonte , J. Ignacio Cirac , Peter Zoller

We prove that all R\'enyi entanglement entropies of spin-chains described by generic (gapped), translational invariant matrix product states (MPS) are extensive for disconnected sub-systems: All R\'enyi entanglement entropy densities of the…

量子物理 · 物理学 2020-08-31 Alberto Rolandi , Henrik Wilming

The critical properties of the spin-1 two-dimensional Blume-Capel model on directed and undi- rected random lattices with quenched connectivity disorder is studied through Monte Carlo simulations. The critical temperature, as well as the…

统计力学 · 物理学 2015-05-18 F. P. Fernandes , F. W. S. Lima , J. A. Plascak

We present a new method to compute R\'enyi entropies in one-dimensional critical systems. The null-vector conditions on the twist fields in the cyclic orbifold allow us to derive a differential equation for their correlation functions. The…

数学物理 · 物理学 2018-06-20 Thomas Dupic , Benoit Estienne , Yacine Ikhlef

The entanglement entropy of a quantum critical system can provide new universal numbers that depend on the geometry of the entangling bipartition. We calculate a universal number called $\kappa$, which arises when a quantum critical system…

强关联电子 · 物理学 2019-07-31 Bohdan Kulchytskyy , Lauren E. Hayward Sierens , Roger G. Melko

We study the generation of defects when a quantum spin system is quenched through a multicritical point by changing a parameter of the Hamiltonian as $t/\tau$, where $\tau$ is the characteristic time scale of quenching. We argue that when a…

统计力学 · 物理学 2009-11-13 Uma Divakaran , Victor Mukherjee , Amit Dutta , Diptiman Sen

We present a finite-size scaling analysis of high-statistics Monte Carlo simulations of the three-dimensional randomly site-diluted and bond-diluted Ising model. The critical behavior of these systems is affected by slowly-decaying scaling…

无序系统与神经网络 · 物理学 2011-02-16 Martin Hasenbusch , Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

In this paper we study the non-unitary deformations of the two-dimensional Tricritical Ising Model obtained by coupling its two spin Z2 odd operators to imaginary magnetic fields. Varying the strengths of these imaginary magnetic fields and…

高能物理 - 理论 · 物理学 2023-02-22 Máté Lencsés , Alessio Miscioscia , Giuseppe Mussardo , Gábor Takács

We analyze critical points that can be induced in glassy systems by the presence of constraints. These critical points are predicted by the Mean Field Thermodynamic approach and they are precursors of the standard glass transition in…

统计力学 · 物理学 2014-04-01 Silvio Franz , Giorgio Parisi

I study the properties of the quantum critical point of the transverse-field quantum Ising model on various fractal lattices such as the Sierpi\'nski carpet, Sierpi\'nski gasket, and Sierpi\'nski tetrahedron. Using a continuous-time quantum…

统计力学 · 物理学 2015-06-22 Hangmo Yi

We compute the Renyi entropy in a one-dimensional transverse-field quantum Ising model by employing a swapping operator acting on the states which are prepared from the neural network methods. In the static ground state, Renyi entropy can…

无序系统与神经网络 · 物理学 2024-03-15 Han-Qing Shi , Hai-Qing Zhang

The phase transition in a model for vortex lines in high temperature superconductors with columnar defects, i.e., linearly correlated quenched random disorder, is studied with finite size scaling and Monte Carlo simulations. Previous…

超导电性 · 物理学 2009-11-07 Anders Vestergren , Jack Lidmar , Mats Wallin

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 R\'enyi entropies of quasiparticle excitations in the many-body gapped systems show a remarkable universal picture which can be understood partially by combination of a semiclassical argument with the quantum effect of…

统计力学 · 物理学 2021-11-11 Jiaju Zhang , M. A. Rajabpour

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

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

Finite size scaling studies of monopole condensation in noncompact quenched lattice $QED$ indicate an authentic second order phase transition lying in the universality class of four dimensional percolation. Since the upper critical…

高能物理 - 格点 · 物理学 2009-10-22 Aleksandar Kocic , John Kogut , Simon Hands