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We explore the fidelity susceptibility and the quantum coherence along with the entanglement entropy in the ground-state of one-dimensional spin-1 XXZ chains with the rhombic single-ion anisotropy. By using the techniques of density matrix…

Strongly Correlated Electrons · Physics 2018-04-18 Jie Ren , Yimin Wang , Wen-Long You

We study the fidelity susceptibility in an antiferromagnetic spin-1 XXZ chain numerically. By using the density-matrix renormalization group method, the effects of the alternating single-site anisotropy $D$ on fidelity susceptibility are…

Strongly Correlated Electrons · Physics 2015-02-25 Jie Ren , Guang-Hua Liu , Wen-Long You

We study the phase diagram of the anisotropic spin-1 Heisenberg chain with single ion anisotropy (D) using a ground-state fidelity approach. The ground-state fidelity and its corresponding susceptibility are calculated within the quantum…

Strongly Correlated Electrons · Physics 2013-09-13 A. Langari , F. Pollmann , M. Siahatgar

Single-spin measurements on the ground state of an interacting spin lattice can be used to perform a quantum computation. We show how such measurements can mimic renormalization group transformations and remove the short-ranged variations…

Quantum Physics · Physics 2014-11-20 Stephen D. Bartlett , Gavin K. Brennen , Akimasa Miyake , Joseph M. Renes

By means of the density matrix renormalization group technique, the scaling relation of the fidelity susceptibility proposed recently is verified for the spin-one XXZ spin chain with an on-site anisotropic term. Moreover, from the results…

Quantum Physics · Physics 2008-01-14 Yu-Chin Tzeng , Min-Fong Yang

We study the one-dimensional S=1 XXZ spin model with single-ion anisotropy. It is known that at the transition points between the Haldane and large-D phases, the model exhibits a quantum criticality described by the Gaussian theory, i.e., a…

Strongly Correlated Electrons · Physics 2026-03-27 Toshiya Hikihara , Akira Furusaki

Utilizing the matrix product formalism, we have studied the variation of entanglement and fidelity measures in the MP ground states of a generic anisotropic spin 2 chain with nearest neighbour interactions and shared symmetries. These MP…

Quantum Physics · Physics 2024-12-16 Victoria Sharmila Gomes , Amit Tribedi , Subhrajyoti Dey

We consider the dimerized spin-1 $XXZ$ chain with single-ion anisotropy $D$. In absence of an explicit dimerization there are three phases: a large-$D$, an antiferromagnetically ordered and a Haldane phase. This phase structure persists up…

Strongly Correlated Electrons · Physics 2018-12-11 Satoshi Ejima , Tomoki Yamaguchi , Fabian H. L. Essler , Florian Lange , Yukinori Ohta , Holger Fehske

The spin-1 Haldane chain is an example of the symmetry-protected-topological (SPT) phase in one dimension. Experimental realization of the spin chain materials usually involves both the uniaxial-type, $D(S^z)^2$, and the rhombic-type,…

Strongly Correlated Electrons · Physics 2017-11-30 Yu-Chin Tzeng , Hiroaki Onishi , Tsuyoshi Okubo , Ying-Jer Kao

We reexamine the one-dimensional spin-1 $XXZ$ model with on-site uniaxial single-ion anisotropy as to the appearance and characterization of the symmetry-protected topological Haldane phase. By means of large-scale density-matrix…

Strongly Correlated Electrons · Physics 2015-01-20 Satoshi Ejima , Holger Fehske

The magnetic ground state of the quasi-one-dimensional spin-1 antiferromagnetic chain is sensitive to the relative sizes of the single-ion anisotropy ($D$) and the intrachain ($J$) and interchain ($J'$) exchange interactions. The ratios…

The fully anisotropic two-leg spin-1/2 $XXZ$ ladder model is studied in terms of an algorithm based on the tensor network representation of quantum many-body states as an adaptation of projected entangled pair states to the geometry of…

Strongly Correlated Electrons · Physics 2018-01-30 Sheng-Hao Li , Qian-Qian Shi , Murray T. Batchelor , Huan-Qiang Zhou

One dimensional S=1 antiferromagnetic Heisenberg chains with bond alternation and uniaxial single-ion-type anisotropy are studied by numerical exact diagonalization of finite size systems. We calculate the ground state phase diagram using…

Statistical Mechanics · Physics 2009-10-31 Wei Chen , Kazuo Hida , Bryan C. Sanctuary

It is a challenging problem to correctly characterize the symmetry-protected topological (SPT) phases in open quantum systems. As the measurement-based quantum computation (MBQC) utilizes non-trivial edge states of the SPT phases as the…

Quantum Physics · Physics 2025-10-06 Riku Masui , Keisuke Totsuka

Improving matrix-product state techniques based on the purification of the density matrix, we are able to accurately calculate the finite-temperature dynamic response of the infinite spin-1 XXZ chain with single-ion anisotropy in the…

Strongly Correlated Electrons · Physics 2018-02-21 Florian Lange , Satoshi Ejima , Holger Fehske

A proposal to use trapped ions to simulate spin-one XXZ antiferromagnetic (AFM) chains as an experimental tool to explore the Haldane phase is presented. We explain how to reach the Haldane phase adiabatically, demonstrate the robustness of…

Quantum Physics · Physics 2014-02-05 Itsik Cohen , Alex Retzker

Applying the (infinite) density-matrix renormalisation group technique, we explore the effect of an explicit dimerisation on the ground-state phase diagram of the spin-1 $XXZ$ chain with single-ion anisotropy $D$. We demonstrate that the…

Strongly Correlated Electrons · Physics 2021-04-15 Satoshi Ejima , Florian Lange , Holger Fehske

One dimensional S=1 XXZ chains with uniaxial single-ion-type anisotropy are studied by numerical exact diagonalization of finite size systems. The numerical data are analyzed using conformal field theory, the level spectroscopy,…

Strongly Correlated Electrons · Physics 2009-11-07 Wei Chen , Kazuo Hida , B. C. Sanctuary

Using mainly numerical methods, we investigate the ground-state phase diagram of the S=2 quantum spin chain described by $H = \sum_j (S_j^x S_{j+1}^x + S_j^y S_{j+1}^y + \Delta S_j^z S_{j+1}^z) + D \sum_j (S_j^z)^2$, where $\Delta$ denotes…

Strongly Correlated Electrons · Physics 2015-10-20 Takashi Tonegawa , Kiyomi Okamoto , Hiroki Nakano , Toru Sakai , Kiyohide Nomura , Makoto Kaburagi

We report a phase diagram of the antiferromagnetic spin-1 chain with nearest-neighbor Heisenberg and three-site interactions in the presence of single-ion anisotropy. We show that the Gaussian and Ising transitions that separate the…

Strongly Correlated Electrons · Physics 2025-07-01 Niels T. Pronk , Bowy M. La Rivière , Natalia Chepiga
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