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相关论文: Entanglement entropy of two disjoint blocks in cri…

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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

We study the Renyi entanglement entropies of two disjoint intervals in XY chains. We exploit the exact solution of the model in terms of free Majorana fermions and we show how to construct the reduced density matrix in the spin variables by…

统计力学 · 物理学 2010-04-19 Maurizio Fagotti , Pasquale Calabrese

The scaling behavior of the entanglement entropy in the two-dimensional random transverse field Ising model is studied numerically through the strong disordered renormalization group method. We find that the leading term of the entanglement…

无序系统与神经网络 · 物理学 2009-11-13 Rong Yu , Hubert Saleur , Stephan Haas

We study the scaling of the traces of the integer powers of the partially transposed reduced density matrix and of the entanglement negativity for two spin blocks as function of their length and separation in the critical Ising chain. For…

统计力学 · 物理学 2015-06-12 Pasquale Calabrese , Luca Tagliacozzo , Erik Tonni

We study the entanglement of two disjoint blocks in spin-1/2 chains obtained by merging solvable models, such as XX and quantum Ising models. We focus on the universal quantities that can be extracted from the R\'enyi entropies S_\alpha.…

统计力学 · 物理学 2012-01-05 Maurizio Fagotti

We compute the entanglement between separated blocks in certain spin models showing that at criticality this entanglement is a function of the ratio of the separation to the length of the blocks and can be written as a product of a power…

量子物理 · 物理学 2009-08-05 H. Wichterich , J. Molina-Vilaplana , S. Bose

We study the dynamics of entanglement in the scaling limit of the Ising spin chain in the presence of both a longitudinal and a transverse field. We present analytical results for the quench of the longitudinal field in critical transverse…

We compute the entropy of entanglement of two blocks of L spins at a distance d in the ground state of an Ising chain in an external transverse magnetic field. We numerically study the von Neumann entropy for different values of the…

量子物理 · 物理学 2009-01-21 P. Facchi , G. Florio , C. Invernizzi , S. Pascazio

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

Two-dimensional conformal field theories with a large central charge and a small number of low-dimension operators are studied using the conformal block expansion. A universal formula is derived for the Renyi entropies of N disjoint…

高能物理 - 理论 · 物理学 2013-03-29 Thomas Hartman

We study the entanglement and Renyi entropies of two disjoint intervals in minimal models of conformal field theory. We use the conformal block expansion and fusion rules of twist fields to define a systematic expansion in the elliptic…

高能物理 - 理论 · 物理学 2015-06-03 M. A. Rajabpour , F. Gliozzi

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 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

We consider two prototypical quantum models, the spin-1/2 XY chain and the quantum Ising chain and study their entanglement entropy, S(l,L), of blocks of l spins in homogeneous or inhomogeneous systems of length L. By using two different…

统计力学 · 物理学 2009-11-13 F. Iglói , R. Juhász

We compare the time evolution of entanglement measures after local operator excitation in the critical Ising model with predictions from conformal field theory. For the spin operator and its descendants we find that Renyi entropies of a…

强关联电子 · 物理学 2017-01-10 Pawel Caputa , Marek M. Rams

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

We propose a unified scaling theory of entanglement entropy in the confinements of finite bond dimensions, dynamics and system sizes. Within the theory, the finite-entanglement scaling introduced recently is generalized to the dynamics…

统计力学 · 物理学 2018-12-26 Xuanmin Cao , Qijun Hu , Fan Zhong

Entanglement in the ground state of the XY model on the infinite chain can be measured by the von Neumann entropy of a block of neighboring spins. We study a double scaling limit: the size of the block is much larger then 1 but much smaller…

量子物理 · 物理学 2007-10-04 F. Franchini , A. R. Its , B. -Q. Jin , V. E. Korepin

We describe an algorithm for studying the entanglement entropy and spectrum of 2D systems, as a coupled array of $N$ one dimensional chains in their continuum limit. Using the algorithm to study the quantum Ising model in 2D, (both in its…

统计力学 · 物理学 2015-03-31 A. J. A. James , R. M. Konik

We consider the Renyi entropies S_n in one-dimensional massive integrable models diagonalizable by means of corner transfer matrices (as Heisenberg and Ising spin chains). By means of explicit examples and using the relation of corner…

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