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Related papers: Entanglement analysis of isotropic spin-1 chains

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One dimensional spin 1 systems may have a rich phase diagram including Haldane gap and dimerized phases if the usually very small biquadratic exchange becomes significant. We show that this unlikely condition may be fulfilled in electron…

Strongly Correlated Electrons · Physics 2009-10-31 Frederic Mila , Fu-Chun Zhang

Different from the spin-1 Haldane gapped phase, we propose a novel SO(3) spin-1 matrix product state (MPS), whose parent Hamiltonian includes three-site spin interactions. From the entanglement spectrum of a single block with $l$ sites, an…

Strongly Correlated Electrons · Physics 2016-05-04 Wen-Jia Rao , Guo-Yi Zhu , Guang-Ming Zhang

Motivated by field-theoretic predictions we investigate the stable excitations that exist in two characteristic gapped phases of a spin-1 model with Ising-like and single-ion anisotropies. The sine-Gordon theory indicates a region close to…

Strongly Correlated Electrons · Physics 2007-05-23 L. Campos Venuti , C. Degli Esposti Boschi , E. Ercolessi , G. Morandi , F. Ortolani , S. Pasini , M. Roncaglia

Establishing symmetry-protected topological (SPT) phases with interactions in chemically realistic systems remains an open challenge. We show that a single, synthetically plausible organic one-dimensional chain, tunable via chemical…

Strongly Correlated Electrons · Physics 2025-12-19 Khalid N. Anindya , Hong Guo

Recent numerical and theoretical studies on the two-dimensional $J$-$Q_3$ model suggests that the deconfined quantum critical point is actually a $SO(5)$-symmetry-enhanced first-order phase transition that is spontaneously broken to $O(4)$.…

Strongly Correlated Electrons · Physics 2025-12-15 Shutao Liu , Yan Liu , Chengkang Zhou , Zhe Wang , Jie Lou , Changle Liu , Zheng Yan , Yan Chen

The entanglement spectroscopy, initially introduced by Li and Haldane in the context of the fractional quantum Hall effects, has stimulated an extensive range of studies. The entanglement spectrum is the spectrum of the reduced density…

Strongly Correlated Electrons · Physics 2015-10-28 N. Regnault

The physics of interacting integer-spin chains has been a topic of intense theoretical interest, particularly in the context of symmetry-protected topological phases. However, there has not been a controllable model system to study this…

Quantum Physics · Physics 2015-06-24 C. Senko , P. Richerme , J. Smith , A. Lee , I. Cohen , A. Retzker , C. Monroe

We discuss topological disentangler for S=1 quantum spin chains in the Haldane phase. We first point out that Kennedy-Tasaki's(KT) nonlocal unitary transformation is the perfect disentangler for Affleck-Kennedy-Lieb-Tasaki model. We then…

Statistical Mechanics · Physics 2012-01-11 Kouichi Okunishi

Symmetry-protected topological phases have fundamentally changed our understanding of quantum matter. An archetypal example of such a quantum phase of matter is the Haldane phase, containing the spin-1 Heisenberg chain. The intrinsic…

Quantum Physics · Physics 2025-07-29 C. L. Edmunds , E. Rico , I. Arrazola , G. K. Brennen , M. Meth , R. Blatt , M. Ringbauer

Inelastic neutron scattering was used to probe edge states in a quantum spin liquid. The experiment was performed on finite length antiferromagnetic spin-1 chains in Y_2BaNi_{1-x}Mg_xO_5. At finite fields, there is a Zeeman resonance below…

Strongly Correlated Electrons · Physics 2009-11-07 M. Kenzelmann , G. Xu , I. A. Zaliznyak , C. Broholm , J. F. DiTusa , G. Aeppli , T. Ito , K. Oka , H. Takagi

We investigate the phase diagram of a quantum spin-1 chain whose Hamiltonian is invariant under a global onsite $A_4$, translation and lattice inversion symmetries. We detect different gapped phases characterized by SPT order and symmetry…

Strongly Correlated Electrons · Physics 2016-07-29 Abhishodh Prakash , Colin G. West , Tzu-Chieh Wei

We investigate the entanglement spectrum of the ground state of Su-Schrieffer-Heeger-Hubbard model. The topological phases of the model can be identified by degeneracy of the largest eigenvalues of entanglement spectrum. The study of the…

Quantum Physics · Physics 2016-11-02 Bing-Tian Ye , Liang-Zhu Mu , Heng Fan

Random spin chains at quantum critical points exhibit an entanglement entropy between a segment of length L and the rest of the chain that scales as log_2 L with a universal coefficient. Since for pure quantum critical spin chains this…

Disordered Systems and Neural Networks · Physics 2009-11-13 Gil Refael , Joel E. Moore

Investigating quantum fluctuations in the ground states of S=1 quantum antiferromagnetic spin chains described by the bilinear-biquadratic Hamiltonian, we study a mechanism of the breakdown of the Haldane phase. Based on the…

Statistical Mechanics · Physics 2007-05-23 Shoji Yamamoto

The different quantum phases appearing in strongly correlated systems as well as their transitions are closely related to the entanglement shared between their constituents. In 1D systems, it is well established that the entanglement…

Strongly Correlated Electrons · Physics 2015-02-04 M. Moreno-Cardoner , S. Paganelli , G. De Chiara , A. Sanpera

The $s=1/2$ chain-boundary excitations occurring in the Haldane phaseof $s=1$ antiferromagnetic spin chains are investigated. The bilinear-biquadratic hamiltonian is used to study these excitations as a function of the strength of the…

Strongly Correlated Electrons · Physics 2009-10-31 E. Polizzi , F. Mila , E. S. Sorensen

We consider a quasi-one-dimensional system of spin-1 Heisenberg antiferromagnetic chains in 2D and 3D hypercubic lattices with interchain coupling $J$ and uniaxial single-ion anisotropy $D$. Using large scale numerical simulations, we map…

Strongly Correlated Electrons · Physics 2014-06-24 Keola Wierschem , Pinaki Sengupta

The classification of electron systems according to their topology has been at the forefront of condensed matter research in recent years. It has been found that systems of the same symmetry, previously thought of as equivalent, may in fact…

Strongly Correlated Electrons · Physics 2015-01-09 Jan Borchmann , Aaron Farrell , Shunji Matsuura , T. Pereg-Barnea

We study different phases of the one-dimensional bond-alternating spin-$1/2$ Heisenberg model by using the symmetry fractionalization mechanism. We employ the infinite matrix-product state representation of the ground state (through the…

Strongly Correlated Electrons · Physics 2014-10-20 R. Haghshenas , A. Langari , A. T. Rezakhani

We report the entanglement of topological features, namely, isolated, linked optical vortex loops in the light from spontaneous parametric down-conversion (SPDC). In three dimensions, optical vortices are lines of phase singularity and…

Quantum Physics · Physics 2011-01-20 J. Romero , J. Leach , B. Jack , M. R. Dennis , S. Franke-Arnold , S. M. Barnett , M. J. Padgett