Study of entanglement in a quantum antiferromagnet
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The absolute temperature (T) and magnetic field (B) dependent magnetization(M) and study of entanglement out of the experimental data is reported for dichloro(thiazole)copper(II), a Heisenberg spin chain system. The magnetic susceptibility (χ) vs. T plot assures the behavior of infinite spin chain. The M vs. B data has been taken at different temperature as long as the antiferromagnetic(AFM) correlations persist significantly. M, B and T have been plotted in a 3D plot showing explicitly the dependence of the three parameters on one another. Since the concurrence is a measure of entanglement, the value of concurrence is extracted from the χ vs. T data and that's how the information about entanglement is extracted from the macroscopic magnetic susceptibility.Keywords:
Concurrence
Heisenberg model
Chain (unit)
Concurrence
Multipartite entanglement
Operator (biology)
Entanglement witness
Annihilation
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We show that entanglement swapping can result in a state with higher concurrence than that of the input states. For pure entangled states this is most likely when the input states are of similar concurrence.
Concurrence
Multipartite entanglement
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An entanglement monotone, which is invariant under the determinant 1 SLOCC operations and measures the true quadripartite entanglement, is explicitly constructed.
Concurrence
Multipartite entanglement
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The formula of entanglement evaluation for singleelectron systems is extended to that for two-electron systems.The accurate formula is derived for the concerrence between two arbitrary sites.It is pointed out that the effect of the interaction between particles on extanglement can be studied with the help of the evaluation of the site-averaged concurrence and spectrum-avaraged concurrence,and the localization properties of two-particle states can be studied with the help of entanglement.
Concurrence
Multipartite entanglement
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It is well known that a particle cannot freely share entanglement with two or more particles. This restriction is generally called monogamy. However the formal quantification of such restriction is only known for some measures of entanglement and for two-level systems. The first and broadly known monogamy relation was established by Coffman, Kundu, and Wootters for the square of the concurrence. Since then, it is usually said that the entanglement of formation is not monogamous, as it does not obey the same relation. We show here that despite that, the entanglement of formation cannot be freely shared and therefore should be said to be monogamous. Furthermore, the square of the entanglement of formation does obey the same relation of the squared concurrence, a fact recently noted for three particles and extended here for N particles. Therefore the entanglement of formation is as monogamous as the concurrence. We also numerically study how the entanglement is distributed in pure states of three qubits and the relation between the sum of the bipartite entanglement and the classical correlation.
Concurrence
Square (algebra)
Multipartite entanglement
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We study the entanglement feature of the ground state of a system composed of spin 1 and 1/2 parts. The concurrence vector is shown to be consistent with the measurement of von Neumann entropy for such system. In the light of the ground state degeneracy, we suggest a average concurrence to measure the entanglement of Hilbert subspace. The entanglement property of both a general superposition as well as the mixture of the degenerate ground states are discussed by means of average concurrence and the negativity respectively.
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We study on generation of entanglement state through dynamics of Majumdar-Ghost spin system.Entanglement distributions are calculated by concurrence.Numerical results show that although the system is in separated state initially,entanglement can be generated by choosing proper evolution time and coupling strength.
Concurrence
Dynamics
Multipartite entanglement
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The entanglement time evolution properties of the two atoms in the system of the two identical entangled two-level atoms interacting with coherent field are studied by means of full quantum theory.Using the numerical method,the influence of the initial entanglement of atoms and the intensity of field on the entanglement measuremont-concurrence is discussed.The results show that the peaks of the concurrence oscillations increase with the increasing of the initial degree of entanglement of two entangled atoms.The oscillation of the concurrence presents collapses and revivals with the increasing of the mean photon number,while its periodicity is more and more evident.
Concurrence
Photon entanglement
Multipartite entanglement
Oscillation (cell signaling)
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An entanglement monotone, which is invariant under the determinant 1 SLOCC operations and measures the true quadripartite entanglement, is explicitly constructed.
Concurrence
Multipartite entanglement
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We investigate the monogamy relations related to the concurrence and the entanglement of formation. General monogamy inequalities given by the αth power of concurrence and entanglement of formation are presented for N-qubit states. The monogamy relation for entanglement of assistance is also established. Based on these general monogamy relations, the residual entanglement of concurrence and entanglement of formation are studied. Some relations among the residual entanglement, entanglement of assistance, and three tangle are also presented.
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