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We study the evolution of entanglement, quantum correlation and classical correlation for the one dimensional XY model in external transverse magnetic field. The system is initialized in the full polarized state along the z axis, after…

Quantum Physics · Physics 2010-10-22 Rong-Chun Ge , Chuan-Feng Li , Guang-Can Guo

We study the dynamics of quantum discord and entanglement for two spin qubits coupled to a spin chain with Dzyaloshinsky-Moriya (DM) interaction. We numerically and analytically investigate the time evolution of quantum discord and…

Quantum Physics · Physics 2011-09-27 Yi-ying Yan , Li-jun Tian , Li-guo Qin

In this paper, we study the entanglement properties of a spin-1 model the exact ground state of which is given by a Matrix Product state. The model exhibits a critical point transition at a parameter value a=0. The longitudinal and…

Strongly Correlated Electrons · Physics 2015-06-25 Amit Tribedi , Indrani Bose

Although quantum correlations in a quantum system are characterized by the evolving quantities (which are entanglement and discord usually), we reveal such basis (i.e. the set of virtual particles) for the representation of the density…

Quantum Physics · Physics 2015-02-11 E. B. Fel'dman , A. I. Zenchuk

We investigate the entanglement properties of a one dimensional chain of spin qubits coupled via nearest neighbor interactions. The entanglement measure used is the n-concurrence, which is distinct from other measures on spin chains such as…

Quantum Physics · Physics 2009-11-10 Gavin K. Brennen , Stephen S. Bullock

We calculate the ground-state compressibility of a deformable spin-1/2 Heisenberg-Ising chain with Dzyaloshinskii-Moriya interaction to discuss how a quantum critical point inherent in this spin system may manifest itself in the elastic…

Strongly Correlated Electrons · Physics 2013-04-02 Oleg Derzhko , Jozef Strecka , Lucia Galisova

We study the sine-square deformed quantum XY chain with open boundary conditions, in which the interaction strength at the position $x$ in the chain of length $L$ is proportional to the function $f_x = \sin^2 [\pi/L (x-1/2)]$. The model can…

Statistical Mechanics · Physics 2011-07-05 Hosho Katsura

We investigate geometric phase (GP) of a qubit symmetrically coupled to a XY spin chain with three-spin interaction in a transverse magnetic field. An analytical expression for the GP is found in the weak coupling limit. It is shown that…

Quantum Physics · Physics 2012-04-13 Zhang Xiu-Xing , Zhang Ai-Ping , Li Fu-Li

A fundamental motif in frustrated magnetism is the fully mutually coupled cluster of $N$ spins, with each spin coupled to every other spin. Clusters with $N=2$ and $3$ have been extensively studied as building blocks of square and…

Strongly Correlated Electrons · Physics 2018-02-07 Subhankar Khatua , R. Shankar , R. Ganesh

We consider the three-spin Ising model to study the effect of three-spin interacting term on bi-partitie entanglement between adjacent spins. The three-dominated disordered region has tri-partite entanglement causing a vanishingly small…

Statistical Mechanics · Physics 2026-04-14 Adithya A. Vasista , Anushka Agrawal , Tanay Nag

The entanglement in quantum XY spin chains of arbitrary length is investigated via the geometric (measure of) entanglement. The emergence of entanglement is explained intuitively from the perspective of perturbations. The model is solved…

Quantum Physics · Physics 2011-04-06 Tzu-Chieh Wei , Smitha Vishveshwara , Paul M. Goldbart

Entanglement of the ground states in $XXZ$ and dimerized Heisenberg spin chains as well as in a two-leg spin ladder is analyzed by using the spin-spin concurrence and the entanglement entropy between a selected sublattice of spins and the…

Quantum Physics · Physics 2015-06-26 Yan Chen , Paolo Zanardi , Z. D. Wang , F. C. Zhang

We analyze the entanglement properties of spins (qubits) close to the boundary of spin chains in the vicinity of a quantum critical point and show that the concurrence at the boundary is significantly different from the one of bulk spins.…

Mesoscale and Nanoscale Physics · Physics 2009-07-23 T. Stauber , F. Guinea

Quantum and classical pairwise correlations in two typical collective spin systems (i.e., the Dicke model and the Lipkin-Meshkov-Glick model) are discussed. These correlations in the thermodynamical limit are obtained analytically and in a…

Quantum Physics · Physics 2012-05-17 Chen Wang , Yu-Yu Zhang , Qing-Hu Chen

We discuss a cluster-like 1D system with triplet interaction. We study the topological properties of this system. We find that the degeneracy depends on the topology of the system, and well protected against external local perturbations.…

Quantum Physics · Physics 2015-05-19 Yi-Xin Chen , Sheng-Wen Li , Zhi Yin

We study the phase diagram of the isotropic $J_{1}$--$J_{1}'$--$J_{2}$ Heisenberg model for spin-1 particles on an anisotropic square lattice, using the coupled cluster method. We find no evidence for an intermediate phase between the…

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

The spin-1/2 chain with isotropic Heisenberg exchange $J_1$, $J_2 > 0$ between first and second neighbors is frustrated for either sign of J1. Its quantum phase diagram has critical points at fixed $J_1/J_2$ between gapless phases with…

Strongly Correlated Electrons · Physics 2015-07-15 Manoranjan Kumar , Aslam Parvej , Zoltán G. Soos

The XXZ quantum spin chain has a triple point in its ground state $h$-$1/\Delta$ phase diagram. This first order critical point is located at the joint end point of the two second order phase transition lines marking the transition from the…

Statistical Mechanics · Physics 2017-08-16 Christian Trippe , Frank Göhmann , Andreas Klümper

Analytical expressions for the entanglement measures concurrence, i-concurrence and 3-tangle in terms of spin correlation functions are derived using general symmetries of the quantum spin system. These relations are exploited for the…

Quantum Physics · Physics 2009-11-10 Ulrich Glaser , Helmut Büttner , Holger Fehske

We discuss the behavior of quantum and classical pairwise correlations in critical systems, with the quantumness of the correlations measured by the quantum discord. We analytically derive these correlations for general real density…

Quantum Physics · Physics 2015-05-13 M. S. Sarandy