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We study the quantum phase transitions of spin-1 Heisenberg chains with an easy-axis anisotropy $\Delta$ and a uniaxial single-ion anisotropy $D$ using a multipartite entanglement approach. The genuine tripartite entanglement between the…

Quantum Physics · Physics 2022-04-20 Chon-Fai Kam , Yang Chen

Among recent proposals for next-generation, non-charge-based logic is the notion that a single electron can be trapped and its spin can be manipulated through the application of gate potentials. In this paper, we present numerical…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Sanjay Prabhakar , James E. Raynolds

The fidelity approach to the Gaussian transitions in spin-one XXZ spin chains with three different values of Ising-like anisotropy lambda is analyzed by means of the density matrix renormalization group (DMRG) technique for systems of large…

Quantum Physics · Physics 2008-06-16 Yu-Chin Tzeng , Hsiang-Hsuan Hung , Yung-Chung Chen , Min-Fong Yang

We demonstrate an implementation scheme for constructing quantum gates using unitary evolutions of the one-dimensional spin-J ferromagnetic XXZ chain. We present numerical results based on simulations of the chain using the time-dependent…

Statistical Mechanics · Physics 2010-03-01 Tom Michoel , Jaideep Mulherkar , Bruno Nachtergaele

We elaborate the idea of quantum computation through measuring the correlation of a gapped ground state, while the bulk Hamiltonian is utilized to stabilize the resource. A simple computational primitive, by pulling out a single spin…

Quantum Physics · Physics 2010-07-29 Akimasa Miyake

We study the ground state phase diagram of the quantum spin-2 XXZ chain in the presence of on-site anisotropy using a matrix-product state based infinite system density-matrix-renormalization-group (iDMRG) algorithm. One of the interests in…

Strongly Correlated Electrons · Physics 2013-06-19 Jonas A. Kjäll , Michael P. Zaletel , Roger S. K. Mong , Jens H. Bardarson , Frank Pollmann

An efficient algorithm is developed for quantum spin tubes in the context of the tensor network representations. It allows to efficiently compute the ground-state fidelity per lattice site, which in turn enables us to identify quantum…

Statistical Mechanics · Physics 2011-05-17 Ai-Min Chen , Qian-Qian Shi , Jin-Hua Liu , Huan-Qiang Zhou

We use linked-cluster expansions to analyze the quantum phase transitions between symmetry unbroken trivial and topological Haldane phases in two different spin-one chains. The first model is the spin-one Heisenberg chain in the presence of…

Strongly Correlated Electrons · Physics 2017-12-20 P. Adelhardt , J. Gritsch , M. Hille , D. A. Reiss , K. P. Schmidt

We study the zero-temperature phase diagram of the $J_{1}^{XXZ}$--$J_{2}^{XXZ}$ Heisenberg model for spin-1 particles on an infinite square lattice interacting via nearest-neighbour ($J_1 \equiv 1$) and next-nearest-neighbour ($J_2 > 0$)…

Strongly Correlated Electrons · Physics 2010-05-07 R F Bishop , P H Y Li , R Darradi , J Richter , C E Campbell

The program of classifying symmetry protected topological (SPT) phases in 1D has been recently completed and has opened the doors to study closely the properties of systems belonging to these phases. It was recently found that being able to…

Quantum Physics · Physics 2015-09-04 Abhishodh Prakash , Tzu-Chieh Wei

We investigate ground-state properties of a one-dimensional S=1 spin-orbital model with or without uniaxial single-ion anisotropy. By means of the density matrix renormalization group method, we compute the ground-state energy, the…

Strongly Correlated Electrons · Physics 2009-11-10 Satoshi Miyashita , Norio Kawakami

We study the ground-state phase diagram of a spin-1 Heisenberg chain with staggered long-range (LR) interactions decaying as $\propto r^{-\alpha}$ using a quantum Monte Carlo approach based on the split-spin representation. This formulation…

Strongly Correlated Electrons · Physics 2026-04-23 Justin Tim-Lok Chau , Jiarui Zhao , Nicolas Laflorencie , Zi Yang Meng

Preserving qubit coherence and maintaining high-fidelity qubit control under complex noise environment is an enduring challenge for scalable quantum computing. Here we demonstrate an addressable fault-tolerant single spin qubit with an…

We investigate quantum phase transitions and quantum coherence in infinite biquadratic spin-1 and -2 XY chains with rhombic single-ion anisotropy. All considered coherence measures such as the $l_1$ norm of coherence, the relative entropy…

Strongly Correlated Electrons · Physics 2021-02-03 Rui Mao , Yan-Wei Dai , Sam Young Cho , Huan-Qiang Zhou

The coupled cluster method (CCM) is applied to the spin-one anisotropic Heisenberg antiferromagnet (HAF) on the square lattice at zero temperature using a new high-order CCM ground-state formalism for general quantum spin number ($s \ge…

Strongly Correlated Electrons · Physics 2007-05-23 D. J. J. Farnell , K. A. Gernoth , R. F. Bishop

Shuttling of single electrons in gate-defined silicon quantum dots is numerically simulated. A minimal gate geometry without explicit tunnel barrier gates is introduced, and used to define a chain of accumulation mode quantum dots, each…

Quantum Physics · Physics 2021-01-01 Brandon Buonacorsi , Benjamin Shaw , Jonathan Baugh

We study the phase diagram of the spin-1 antiferromagnetic Heisenberg chain with uniaxial anisotropy and applied magnetic field in terms of the genuine multipartite entanglement as witnessed by the mean quantum Fisher information density.…

Strongly Correlated Electrons · Physics 2023-05-31 J. Lambert , Erik S. Sørensen

We find an analytic solution of the Bethe Ansatz equations (BAE) for the special case of a finite XXZ spin chain with free boundary conditions and with a complex surface field which provides for $U_q(sl(2))$ symmetry of the Hamiltonian.…

High Energy Physics - Theory · Physics 2009-10-31 V. Fridkin , Yu. Stroganov , D. Zagier

Quantum and global discord in a spin-1 Heisenberg chain subject to single-ion anisotropy (uniaxial field) are studied using exact diagonalisation and the density matrix renormalisation group (DMRG). We find that these measures of quantum…

Quantum Physics · Physics 2015-06-09 Matthew J. M. Power , Steve Campbell , Maria Moreno-Cardoner , Gabriele De Chiara

We develop a method to transform a collection of higher-dimensional spin systems from the thermal state with a very high temperature of a local spin-s Hamiltonian to a low-lying energy eigenstate of the same. The procedure utilizes an…

Quantum Physics · Physics 2024-09-16 Debkanta Ghosh , Tanoy Kanti Konar , Aditi Sen De