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We use a Heisenberg spin-1/2 chain to investigate how chaos and localization may affect the entanglement of pairs of qubits. To measure how much entangled a pair is, we compute its concurrence, which is then analyzed in the…

Quantum Physics · Physics 2009-11-10 L. F. Santos , G. Rigolin , C. O. Escobar

We investigate the entanglement in a two-qubit Heisenberg XYZ system with different Dzyaloshinskii-Moriya(DM) interaction and inhomogeneous magnetic field. It is found that the control parameters ($D_{x}$, $B_{x}$ and $b_{x}$) are…

Quantum Physics · Physics 2015-05-13 Da-Chuang Li , Zhuo-Liang Cao

The symmetric Heisenberg exchange interaction and antisymmetric Dzyaloshinskii-Moriya interaction are parts of the tensor potential describing effective spin-spin interaction caused by the superexchange interaction of magnetic ions via…

Materials Science · Physics 2025-12-29 Pavel A. Andreev

We study the thermal entanglement in a two-spin-qutrit system with anisotropy in the exchange coupling between two spins. We use the realignment criterion to distinguish the entangled states, and the negativity for measuring the…

Quantum Physics · Physics 2019-08-15 S. Y. Mirafzali , M. Sarbishaei

We consider an infinite one dimensional anisotropic XY spin chain with a nearest neighbor time-dependent Heisenberg coupling J(t) between the spins in presence of a time-dependent magnetic field h(t). We discuss a general solution for the…

Quantum Physics · Physics 2010-12-07 Gehad Sadiek , Bedoor Alkurtass , Omar Aldossary

We theoretically explore the possibility of creating spin quantum entanglement in a system of two electrons confined respectively in two vertically coupled quantum dots in the presence of Rashba type spin-orbit coupling. We find that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Nan Zhao , L. Zhong , Jia-Lin Zhu , C. P. Sun

We analysed the ground state energy of some dimerized spin-1/2 transverse XX and Heisenberg chains with Dzyaloshinskii-Moriya (DM) interaction to study the influence of the latter interaction on the spin-Peierls instability. We found that…

Condensed Matter · Physics 2009-10-31 O. Derzhko , J. Richter , O. Zaburannyi

A spin-1/2 $XY$ chain model of magnetoelectric on a zigzag chain is considered rigorously. The magnetoelectric coupling is described within the Katsura-Nagaosa-Balatsky mechanism. In the zigzag geometry it leads to the staggered…

Strongly Correlated Electrons · Physics 2019-01-30 Ostap Baran , Vadim Ohanyan , Taras Verkholyak

Quantum entanglement is a quantum mechanical phenomenon where the quantum state of a many-body system with many degrees of freedom cannot be described independently of the state of each body with a given degree of freedom, no matter how far…

We theoretically study the effects of spin-orbit coupling on spin exchange in a low-density Wigner crystal. In addition to the familiar antiferromagnetic Heisenberg exchange, we find general anisotropic interactions in spin space if the…

Mesoscale and Nanoscale Physics · Physics 2009-03-23 Yaroslav Tserkovnyak , Markus Kindermann

Magnetoelectric effect of the spin-1/2 Heisenberg-Ising ladder in a presence of the external electric and magnetic fields is rigorously examined by taking into account Katsura-Nagaosa-Balatsky mechanism. It is shown that the applied…

Statistical Mechanics · Physics 2020-01-08 Jozef Strečka , Lucia Gálisová , Taras Verkholyak

We consider the spin-1/2 Heisenberg chain with alternating spin exchange %on even and odd sites in the presence of additional modulation of exchange on odd bonds with period three. We study the ground state magnetic phase diagram of this…

Strongly Correlated Electrons · Physics 2015-05-30 M. Shahri Naseri , G. I. Japaridze , S. Mahdavifar , S. Farjami Shayesteh

We consider a quantum many-body system made of $N$ interacting $S{=}1/2$ spins on a lattice, and develop a formalism which allows to extract, out of conventional magnetic observables, the quantum probabilities for any selected spin pair to…

Statistical Mechanics · Physics 2007-05-23 Andrea Fubini , Tommaso Roscilde , Valerio Tognetti , Matteo Tusa , Paola Verrucchi

Studies of competing orders in 1D magnetic chains have attracted considerable attention in recent years, as the presence of long-range Heisenberg interactions is found to allow interesting quantum phase transitions. We investigate here the…

Strongly Correlated Electrons · Physics 2020-11-25 E. Vernek , O. Ávalos-Ovando , S. E. Ulloa

The entanglement entropy for the ground state of a XY spin chain is related to the corner transfer matrices of the triangular Ising model and expressed in closed form.

Statistical Mechanics · Physics 2009-11-10 Ingo Peschel

We consider the ground state of the XY model on an infinite chain at zero temperature. Following Bennett, Bernstein, Popescu, and Schumacher we use entropy of a sub-system as a measure of entanglement. Vidal, Latorre, Rico and Kitaev…

Quantum Physics · Physics 2009-11-10 A. R. Its , B. -Q. Jin , V. E. Korepin

Motivated by recent progress on field-induced phase transitions in quasi-one-dimensional quantum antiferromagnets, we study the phase diagram of $S=1/2$ antiferromagnetic Heisenberg chains with Ising anisotropic interchain couplings under a…

Strongly Correlated Electrons · Physics 2020-03-25 Yuchen Fan , Jiahao Yang , Weiqiang Yu , Jianda Wu , Rong Yu

Using exact numerical diagonalization and the conformal field theory approach, we study the effect of magnetic frustrations due to diagonal exchange bonds in a system of two coupled mixed-spin $(1,{1/2})$ Heisenberg chains. It is…

Strongly Correlated Electrons · Physics 2009-11-10 N. B. Ivanov , J. Richter

The magnetization process of the one-dimensional antiferromagnetic Heisenberg model with the Ising-like anisotropic exchange interaction is studied by the exact diagonalization technique. It results in the evidence of the first-order spin…

Statistical Mechanics · Physics 2009-10-31 Toru Sakai , Minoru Takahashi

Magnetoelectric coupling in helical multiferroics allows to steer spin order with electric fields. Here we show theoretically that in a helical multiferroic chain quantum information processing as well as quantum phases are highly sensitive…

Strongly Correlated Electrons · Physics 2015-06-17 M. Azimi , L. Chotorlishvili , S. K. Mishra , S. Greschner , T. Vekua , J. Berakdar