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The entanglement spectrum (ES) provides a barometer of quantum entanglement and encodes physical information beyond that contained in the entanglement entropy. In this paper, we explore the ES of stabilizer codes, which furnish exactly…

量子物理 · 物理学 2019-05-09 Albert T. Schmitz , Sheng-Jie Huang , Abhinav Prem

The entanglement spectrum (ES) is a powerful tool for probing topological phases. While its behavior in gapped systems is well understood, its properties in gapless regimes remain unclear. In this work, we employ a quantum Monte Carlo…

强关联电子 · 物理学 2026-04-21 Zenan Liu , Zhe Wang , Dao-Xin Yao , Zheng Yan

We study the entanglement spectrum (ES) of a finite XXZ spin 1/2 chain in the limit \Delta -> -1^+ for both open and periodic boundary conditions. At \Delta=-1 (ferromagnetic point) the model is equivalent to the Heisenberg ferromagnet and…

强关联电子 · 物理学 2012-08-30 Vincenzo Alba , Masudul Haque , Andreas M. Laeuchli

Two-dimensional Projected Entangled Pair States (PEPS) provide a unique framework giving access to detailed entanglement features of correlated (spin or electronic) systems. For a bi-partitioned quantum system, it has been argued that the…

强关联电子 · 物理学 2015-06-22 Didier Poilblanc

We introduce a new spin chain which is a deformation of the Fredkin spin chain and has a phase transition between bounded and extensive entanglement entropy scaling. In this chain, spins have a local interaction of three nearest neighbors.…

统计力学 · 物理学 2017-10-10 Olof Salberger , Takuma Udagawa , Zhao Zhang , Hosho Katsura , Israel Klich , Vladimir Korepin

Quantum critical chains are well described and understood by virtue of conformal field theory. Still the meaning of the real space entanglement spectrum -- the eigenvalues of the reduced density matrix -- of such systems remains in general…

强关联电子 · 物理学 2015-06-23 Nicolas Laflorencie , Stephan Rachel

We investigate the entanglement entropy (EE) of gapped S=1 and $S=1/2$ spin chains with dimerization. We find that the effective boundary degrees of freedom as edge states contribute significantly to the EE. For the $S=1/2$ dimerized…

强关联电子 · 物理学 2007-07-10 Takaaki Hirano , Yasuhiro Hatsugai

We investigate entanglement properties in the ground state of the open/periodic SU($n$) generalized valence-bond-solid state consisting of representations of SU($n$). We obtain exact expression for the reduced density matrix of a block of…

量子物理 · 物理学 2008-04-03 Hosho Katsura , Takaaki Hirano , Vladimir E. Korepin

We study the entanglement spectrum (ES) of two-dimensional $C_{n}$-symmetric second-order topological insulators (TIs). We show that some characteristic higher order topological observables, e.g., the filling anomaly and its associated…

介观与纳米尺度物理 · 物理学 2020-03-23 Penghao Zhu , Kieran Loehr , Taylor L. Hughes

We present a detailed study of the Entanglement Entropy (EE) of excited states in all closed rank one subsectors of N=4 SYM, namely SU(2), SU(1|1) and SL(2). Exploiting the techniques of the Coordinate and the Algebraic Bethe Ansatz we…

高能物理 - 理论 · 物理学 2016-08-30 George Georgiou , Dimitrios Zoakos

The spectral statistics and entanglement within the eigenstates of generic spin chain Hamiltonians are analysed. A class of random matrix ensembles is defined which include the most general nearest-neighbour qubit chain Hamiltonians. For…

量子物理 · 物理学 2014-10-08 Huw J Wells

By means of free fermionic techniques we study the time evolution of the entanglement entropy, S(t), of a block of spins in the random transverse-field Ising chain after a sudden change of the parameters of the Hamiltonian. We consider…

统计力学 · 物理学 2012-03-13 Ferenc Igloi , Zsolt Szatmari , Yu-Cheng Lin

We study the dynamics of the entanglement spectrum, that is the time evolution of the eigenvalues of the reduced density matrices after a bipartition of a one-dimensional spin chain. Starting from the ground state of an initial Hamiltonian,…

统计力学 · 物理学 2014-06-26 G. Torlai , L. Tagliacozzo , G. De Chiara

We study the entanglement spectrum of spin-1/2 XXZ ladders both analytically and numerically. Our analytical approach is based on perturbation theory starting either from the limit of strong rung coupling, or from the opposite case of…

强关联电子 · 物理学 2012-02-23 Andreas M. Läuchli , John Schliemann

Shannon-R\'enyi entropies and associated participation spectra quantify how much a many-body wave-function is localized in a given configuration basis. Using these tools, we present an analysis of the ground-state wave functions of various…

强关联电子 · 物理学 2014-08-26 David J. Luitz , Nicolas Laflorencie , Fabien Alet

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

We study the entanglement spectrum (ES) of the Bose-Hubbard model on the two dimensional square lattice at unit filling, both in the Mott insulating and in the superfluid phase. In the Mott phase, we demonstrate that the ES is dominated by…

强关联电子 · 物理学 2013-07-02 Vincenzo Alba , Masudul Haque , Andreas M. Laeuchli

We present a detailed study of the fidelity, the entanglement entropy, and the entanglement spectrum, for a dimerized chain of spinless fermions---a simplified Su-Schrieffer-Heeger (SSH) model---with open boundary conditions which is a…

强关联电子 · 物理学 2014-10-22 J. Sirker , M. Maiti , N. P. Konstantinidis , N. Sedlmayr

We carry out a systematic study of the exact block entanglement in XXZ spin-chain at Delta=-1/2. We present, the first analytic expressions for reduced density matrices of n spins in a chain of length L (for n<=6 and arbitrary but odd L) of…

统计力学 · 物理学 2009-11-13 Bernard Nienhuis , Massimo Campostrini , Pasquale Calabrese

We study the entanglement spectrum (ES) and entropy between two coupled Tomonaga-Luttinger liquids (TLLs) on parallel periodic chains. This problem gives access to the entanglement properties of various interesting systems, such as spin…

强关联电子 · 物理学 2014-01-10 Rex Lundgren , Yohei Fuji , Shunsuke Furukawa , Masaki Oshikawa
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