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相关论文: Entanglement Entropy of One-dimensional Gapped Spi…

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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

A relation between entanglement and criticality of spin chains is established. The entanglement we exploit is shared between auxiliary particles, which are isolated from each other, but are coupled to the same critical spin-1/2 chain. We…

量子物理 · 物理学 2009-11-11 X. X. Yi , H. T. Cui , L. C. Wang

We study the effects of random bonds on spin chains that have an excitation gap in the absence of randomness. The dimerized spin-1/2 chain is our principal example. Using an asymptotically exact real space decimation renormalization group…

凝聚态物理 · 物理学 2009-10-28 R. A. Hyman , Kun Yang , R. N. Bhatt , S. M. Girvin

We study the time dependence of R\'{e}nyi/entanglement entropies of locally excited states created by fields with integer spins $s \leq 2$ in $4$ dimensions. For spins 0, 1 these states are characterised by localised energy densities of a…

高能物理 - 理论 · 物理学 2023-04-26 Justin R. David , Jyotirmoy Mukherjee

We analyze the entanglement properties of spins (qubits) close to the boundary of spin chains in the vicinity of a quantum critical point and show that the concurrence at the boundary is significantly different from the one of bulk spins.…

介观与纳米尺度物理 · 物理学 2009-07-23 T. Stauber , F. Guinea

The entanglement in a quantum system that possess an internal symmetry, characterized by the Sz-magnetization or U(1)-charge, is distributed among different sectors. The aim of this letter is to gain a deeper understanding of the…

统计力学 · 物理学 2018-07-25 J. C. Xavier , F. C. Alcaraz , G. Sierra

We compute entanglement entropy (EE) of a spherical region in $(3+1)$-dimensional $\mathcal{N}=4$ supersymmetric $SU(N)$ Yang-Mills theory in states described holographically by probe D3-branes in $AdS_5 \times S^5$. We do so by…

高能物理 - 理论 · 物理学 2021-05-05 Adam Chalabi , S. Prem Kumar , Andy O'Bannon , Anton Pribytok , Ronnie Rodgers , Jacopo Sisti

We examine the pair entanglement in the ground state of finite dimerized spin-$s$ chains interacting through anisotropic $XY$ couplings immersed in a transverse magnetic field, by means of a self-consistent pair mean field approximation.…

量子物理 · 物理学 2016-12-14 A. Boette , R. Rossignoli , N. Canosa , J. M. Matera

We calculate the entanglement entropy of a non-contiguous subsystem of a chain of free fermions. The starting point is a formula suggested by Jin and Korepin, \texttt{arXiv:1104.1004}, for the reduced density of states of two disjoint…

数学物理 · 物理学 2021-04-16 L. Brightmore , G. P. Geher , A. R. Its , V. E. Korepin , F. Mezzadri , M. Y. Mo , J. A. Virtanen

Entanglement of the ground states in $XXZ$ and dimerized Heisenberg spin chains as well as in a two-leg spin ladder is analyzed by using the spin-spin concurrence and the entanglement entropy between a selected sublattice of spins and the…

量子物理 · 物理学 2015-06-26 Yan Chen , Paolo Zanardi , Z. D. Wang , F. C. Zhang

This paper investigates the dynamical generation of entanglement in scattering systems, in particular two spin systems that interact via rotationally-invariant scattering. The spin degrees of freedom of the in-states are assumed to be in…

量子物理 · 物理学 2009-11-11 N. L. Harshman

We discuss and compute entanglement entropy (EE) in (1+1)-dimensional free Lifshitz scalar field theories with arbitrary dynamical exponents. We consider both the subinterval and periodic sublattices in the discretized theory as subsystems.…

高能物理 - 理论 · 物理学 2018-04-25 Temple He , Javier M. Magan , Stefan Vandoren

We study the entanglement entropy of Hamiltonian SU(2) lattice gauge theory in $2+1$ dimensions on linear plaquette chains and show that the entanglement entropies of both ground and excited states follow Page curves. The transition of the…

高能物理 - 格点 · 物理学 2024-08-29 Lukas Ebner , Andreas Schäfer , Clemens Seidl , Berndt Müller , Xiaojun Yao

We consider the entanglement entropy for a free $U(1)$ theory in $3 + 1$ dimensions in the extended Hilbert space definition. By taking the continuum limit carefully we obtain a replica trick path integral which calculates this entanglement…

高能物理 - 理论 · 物理学 2017-02-23 Ronak M Soni , Sandip P. Trivedi

Recent studies have shown that logarithmic divergence of entanglement entropy as function of size of a subsystem is a signature of criticality in quantum models. We demonstrate that the ground state entanglement entropy of $ n$ sites for…

量子物理 · 物理学 2011-07-13 Vladislav Popkov , Mario Salerno

We consider time-dependent entanglement entropy (EE) for a 1+1 dimensional CFT in the presence of angular momentum and U(1) charge. The EE saturates, irrespective of the initial state, to the grand canonical entropy after a time large…

高能物理 - 理论 · 物理学 2015-06-16 Pawel Caputa , Gautam Mandal , Ritam Sinha

We study the relationship between entanglement and spectral gap for local Hamiltonians in one dimension. The area law for a one-dimensional system states that for the ground state, the entanglement of any interval is upper-bounded by a…

量子物理 · 物理学 2010-04-19 Daniel Gottesman , M. B. Hastings

We consider systems of interacting spins and study the entanglement that can be localized, on average, between two separated spins by performing local measurements on the remaining spins. This concept of Localizable Entanglement (LE) leads…

量子物理 · 物理学 2007-05-23 M. Popp , F. Verstraete , M. A. Martin-Delgado , J. I. Cirac

We study the average and the standard deviation of the entanglement entropy of highly excited eigenstates of the integrable interacting spin-$\frac{1}{2}$ XYZ chain away from and at special lines with $U(1)$ symmetry and supersymmetry. We…

统计力学 · 物理学 2024-02-28 Rafał Świętek , Maksymilian Kliczkowski , Lev Vidmar , Marcos Rigol

We consider the von Neumann and R\'enyi entropies of the one dimensional quarter-filled Hubbard model. We observe that for periodic boundary conditions the entropies exhibit an unexpected dependence on system size: for L=4 mod 8 the results…

强关联电子 · 物理学 2013-03-27 Fabian H. L. Essler , Andreas M. Läuchli , Pasquale Calabrese