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We elucidate the finite temperature entanglement properties of $N=9$ qubits Heisenberg $XX$ and $XXZ$ models under the presence of a polarized magnetic field in $xz$ plane by means of concurrence concept. We perform a systematic analysis…

Statistical Mechanics · Physics 2016-09-03 Umit Akinci , Erol Vatansever , Yusuf Yuksel

The magnetic and entanglement thermal (equilibrium) properties in spin-1/2 Ising-Heisenberg model on a triangulated Kagome lattice are analyzed by means of variational mean-field like treatment based on Gibbs-Bogoliubov inequality. Because…

Quantum Physics · Physics 2010-12-30 N. S. Ananikian , L. N. Ananikyan , L. A. Chakhmakhchyan , A. N. Kocharian

We present results of extensive quantum Monte Carlo simulations of the three-dimensional (3D) S=1/2 Heisenberg antiferromagnet. Finite-size scaling of the spin stiffness and the sublattice magnetization gives the critical temperature Tc/J =…

Statistical Mechanics · Physics 2009-10-31 A. W. Sandvik

A quantum phase transition is usually achieved by tuning physical parameters in a Hamiltonian at zero temperature. Here, we demonstrate that the ground state of a topological phase itself encodes critical properties of its transition to a…

Strongly Correlated Electrons · Physics 2014-09-10 Timothy H. Hsieh , Liang Fu

A periodic Ising model is one endowed with interactions that are invariant under translations of members of a full-rank sublattice $\mathfrak{L}$ of $\mathbb{Z}^2$. We give an exact, quantitative description of the critical temperature,…

Mathematical Physics · Physics 2012-04-10 Zhongyang Li

The thermal entanglement is investigated in a two-qubit Heisenberg XXZ system with Dzyaloshinskii-Moriya (DM) interaction. It is shown that the entanglement can be efficiently controlled by the DM interaction parameter and coupling…

Quantum Physics · Physics 2009-11-13 Da-Chuang Li , Xian-Ping Wang , Zhuo-Liang Cao

We present the results of a numerical investigation of percolation properties in a version of the classical Heisenberg model. In particular we study the percolation properties of the subsets of the lattice corresponding to equatorial strips…

High Energy Physics - Theory · Physics 2007-05-23 Adrian Patrascioiu , Erhard Seiler

We investigate quantum many-body systems where all low-energy states are entangled. As a tool for quantifying such systems, we introduce the concept of the entanglement gap, which is the difference in energy between the ground-state energy…

Quantum Physics · Physics 2007-05-23 Mark R. Dowling , Andrew C. Doherty , Stephen D. Bartlett

We solve the eigenvalue problem of the five-qubit anisotropic Heisenberg model, without use of Bethe's Ansatz, and give analytical results for entanglement and mixedness of two nearest-neighbor qubits. The entanglement takes its maximum at…

Quantum Physics · Physics 2009-11-10 XiaoGuang Wang

We study the phase transition of the $\pm J$ Heisenberg model in three dimensions. Using a dynamical simulation method that removes a drift of the system, the existence of the spin-glass (SG) phase at low temperatures is suggested. The…

Disordered Systems and Neural Networks · Physics 2007-05-23 F. Matsubara , T. Shirakura , S. Endoh

The critical temperature of layered Ising models on triangular and honeycomb lattices are calculated in simple, explicit form for arbitrary distribution of the couplings.

Condensed Matter · Physics 2009-10-28 Ferenc Igloi , Peter Lajko

Most of the work involving entanglement measurement focuses on systems that can be modeled by two interacting qubits. This is due to the fact that there are few studies presenting entanglement analytical calculations in systems with spins…

Quantum Physics · Physics 2021-03-04 Saulo Luis Lima da Silva

We study the dynamics of entanglement in the infinite asymmetric XY spin chain, in an applied transverse field. The system is prepared in a thermal equilibrium state (ground state at zero temperature) at the initial instant, and it starts…

Quantum Physics · Physics 2009-10-20 Aditi Sen De , Ujjwal Sen , Maciej Lewenstein

By using the concept of negativity, we investigate entanglement in (1/2,1) mixed-spin Heisenberg systems. We obtain the analytical results of entanglement in small isotropic Heisenberg clusters with only nearest-neighbor (NN) interactions…

Quantum Physics · Physics 2009-11-11 Zhe Sun , XiaoGuang Wang , AnZi Hu , You-Quan Li

The entanglement of two qubits, each defined as an effective two-level, spin 1/2 system, is investigated for the case that the qubits interact via a Heisenberg XY interaction and are subject to decoherence due to population relaxation and…

Quantum Physics · Physics 2007-05-23 Jin Wang , Herman Batelaan , Jeremy Podany , Anthony F. Starace

Two-scalar theories at high temperature exhibit a rich spectrum of possible critical behaviour, with a second or first order phase transition. In the vicinity of the critical temperature one can observe critical exponents, tricritical…

High Energy Physics - Phenomenology · Physics 2010-11-01 S. Bornholdt , N. Tetradis , C. Wetterich

We study finite-temperature phase transitions in a two-dimensional boson Hubbard model with zero-point quantum fluctuations via Monte Carlo simulations of quantum rotor model, and construct the corresponding phase diagram. Compressibility…

Strongly Correlated Electrons · Physics 2009-11-13 Min-Chul Cha , Ji-Woo Lee

The geometry of fireballs in relativistic heavy ion collisions is approximated by a static box, which is infinite in two directions while finite in the other direction. The critical temperature of deconfinement phase transition is…

Nuclear Theory · Physics 2020-12-30 Zonghou Han , Baoyi Chen , Yunpeng Liu

By using the concept of negativity, we study entanglement in spin-one Heisenberg chains. Both the bilinear chain and the bilinear-biquadratic chain are considered. Due to the SU(2) symmetry, the negativity can be determined by two…

Quantum Physics · Physics 2009-11-11 XiaoGuang Wang , HaiBin Li , Zhe Sun , You-Quan Li

The entanglement properties in an antiferromagnetic dimerized Heisenberg spin-1/2 chain are investigated. The entanglement gap, which is the difference between the ground-state energy and the minimal energy that any separable state can…

Quantum Physics · Physics 2008-03-07 Xiang Hao , Shiqun Zhu
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