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We present the results of an exact diagonalization study of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional version of the pyrochlore lattice, also known as the square lattice with crossings or the checkerboard lattice.…

Strongly Correlated Electrons · Physics 2009-11-07 S. E. Palmer , J. T. Chalker

We present the phase diagram in a magnetic field of a 2D isotropic Heisenberg antiferromagnet on a triangular lattice. We consider spin-$S$ model with nearest-neighbor ($J_1$) and next-nearest-neighbor ($J_2$) interactions. We focus on the…

Strongly Correlated Electrons · Physics 2017-10-25 Mengxing Ye , Andrey V. Chubukov

We discuss entanglement in the spin-1/2 anisotropic ferromagnetic Heisenberg chain in the presence of a boundary magnetic field generating domain walls. By increasing the magnetic field, the model undergoes a first-order quantum phase…

Quantum Physics · Physics 2009-11-10 F. C. Alcaraz , A. Saguia , M. S. Sarandy

Concurrence is an important entanglement measure for states in finite-dimensional quantum systems that was explored intensively in the last decade. In this paper, we extend the concept of concurrence to infinite-dimensional bipartite…

Quantum Physics · Physics 2012-03-20 Yu Guo , Jinchuan Hou , Yuncai Wang

Theoretical predictions of a semiclassical method - the pure-quantum self-consistent harmonic approximation - for the correlation length and staggered susceptibility of the Heisenberg antiferromagnet on the square lattice (2DQHAF) agree…

Condensed Matter · Physics 2009-10-31 Alessandro Cuccoli , Valerio Tognetti , Paola Verrucchi , Ruggero Vaia

The genuine concurrence is a standard quantifier of multipartite entanglement, detection and quantification of which still remains a difficult problem from both theoretical and experimental point of view. Although many efforts have been…

Quantum Physics · Physics 2021-05-14 Kateřina Jiráková , Artur Barasiński , Antonín Černoch , Karel Lemr , Jan Soubusta

Nearest-neighbor spin correlations are considered near the surface of a semi-infinite spin-$\frac12$ Heisenberg antiferromagnet on a simple cubic lattice. In the spin-wave approximation, the excitation spectrum of this model involves bulk…

Strongly Correlated Electrons · Physics 2015-05-13 N. Voropajeva , A. Sherman

We address the question, does a system A being entangled with another system B, put any constraints on the Heisenberg uncertainty relation (or the Schrodinger-Robertson inequality)? We find that the equality of the uncertainty relation…

Quantum Physics · Physics 2013-05-24 N. D. Hari Dass , Tabish Qureshi , Aditi Sheel

The antiferromagnetic Heisenberg model on a chain with nearest and next nearest neighbor couplings is mapped onto the $SO(3)$ nonlinear sigma model in the continuum limit. In one spatial dimension this model is always in its disordered…

Condensed Matter · Physics 2009-10-22 D. Allen , D. Senechal

We investigate the evolution of entanglement in multiple-quantum (MQ) NMR experiments in crystals with pairs of close nuclear spins-1/2. The initial thermodynamic equilibrium state of the system in a strong external magnetic field evolves…

Quantum Physics · Physics 2009-11-13 E. B. Fel'dman , A. N. Pyrkov

In this paper we present an extensive study of the thermodynamic properties of the two-dimensional quantum Heisenberg antiferromagnet on the square lattice; the problem is tackled by the pure-quantum self-consistent harmonic approximation,…

Statistical Mechanics · Physics 2009-10-30 Alessandro Cuccoli , Valerio Tognetti , Ruggero Vaia , Paola Verrucchi

The $S=1/2$ kagome- and triangular-lattice Heisenberg antiferromagnets are investigated using the numerical exact diagonalization and the finite-size scaling analysis. The behaviour of the field derivative at zero magnetization is examined…

Strongly Correlated Electrons · Physics 2018-05-23 Toru Sakai , Hiroki Nakano

Understanding how intrinsic decoherence affects the interplay between geometry, dynamics, and entanglement in quantum systems is a central challenge in quantum information science. In this work, we develop a unified framework that explores…

Quantum Physics · Physics 2025-07-24 M. Yachi , B. Amghar , J. Elfakir , M. El Falaki , S. A. Chelloug , A. A Abd El-Latif , A. Slaoui

The collective tunneling of a small cluster of spins between two degenerate ground state configurations of the Kagom\'{e}-lattice quantum Heisenberg antiferromagnet is \mbox{studied}. The cluster consists of the six spins on a hexagon of…

Condensed Matter · Physics 2009-10-22 Jan von Delft , Christopher L. Henley

In this paper we investigate some entanglement properties for the Hydrogen molecule considered as a two interacting spin 1/2 (qubit) model. The entanglement related to the $H_{2}$ molecule is evaluated both using the von Neumann entropy and…

Quantum Physics · Physics 2007-05-23 Tina A. C. Maiolo , Luigi Martina , Giulio Soliani

We study the spin entanglement in a spin-1 Bose-Einstein condensate with antiferromagnetic atomic interactions using the Hartree-Fock approach. Based on the isomorphism between symmetric $N$-qubit states and spin-$j=N/2$ states, we analyze…

Quantum Gases · Physics 2024-11-13 A. Santiago , F. Mireles , E. Serrano-Ensástiga

In the present paper we are interested in analyzing the pairwise entanglement in quantum dots, as ququart systems, naturally described by the Fermi-Hubbard model. Using the lower bound of concurrence we show the effect of the Coulomb…

Quantum Physics · Physics 2022-09-14 Sanaa Abaach , Mustapha Faqir , Morad EL Baz

We study the properties of coherence concurrence and present a physical explanation analogous to the coherence of assistance. We give an optimal pure state decomposition which attains the coherence concurrence for qubit states. We prove the…

Quantum Physics · Physics 2020-02-11 Ming-Jing Zhao , Teng Ma , Zhen Wang , Shao-Ming Fei , Rajesh Pereira

Entanglement of dipole-dipole interacting spins 1/2 is usually investigated when the energy of interaction with an external magnetic field (the Zeeman energy) is greater than the energy of dipole interactions by three orders. Under this…

Quantum Physics · Physics 2019-08-17 G. B. Furman , V. M. Meerovich , V. L. Sokolovsky

We investigate the entanglement properties of finite spin rings, with noncollinear Ising interaction between nearest neighbours. The orientations of the Ising axes are determined either by the spin position within the ring (model A) or by…

Quantum Physics · Physics 2015-05-20 F. Troiani