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Information Journal Paper

Title

Study of Geometric Measure of Entanglement Produced by One-axis Counter Twisting Hamiltonian in Spin Systems

Pages

  67-78

Abstract

 Generation of Entanglement in separable two qubits states using the One-axis counter twisting Hamiltonian in the presence/absence of a magnetic field is studied by introducing the Geometric measure of Entanglement. The exact expression for the Geometric measure is obtained without calculating the time evolution of the system state using the method of the expectation values of spin. The graphs of this measure as a function of time are plotted. The results show that in order to obtain the maximum Entanglement under the influence of One-axis counter twisting Hamiltonian around axis in absence of magnetic field, the system initially must be in a tensor product of or eigenstates. Also, the system initially in the eigenstates under the influence of One-axis counter twisting Hamiltonian around axis in absence of a magnetic field is not entangled, but, under the influence of One-axis counter twisting Hamiltonian around axis in presence of a magnetic field in direction the Entanglement for this state becomes maximum. For all states, the frequency of Entanglement is an increasing function of the magnetic field.

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    APA: Copy

    Naji, Azita, Zeheiry, Mahmood, & Ashrafpour, Mehrzad. (2021). Study of Geometric Measure of Entanglement Produced by One-axis Counter Twisting Hamiltonian in Spin Systems. IRANIAN JOURNAL OF APPLIED PHYSICS, 10(4 (23) ), 67-78. SID. https://sid.ir/paper/412396/en

    Vancouver: Copy

    Naji Azita, Zeheiry Mahmood, Ashrafpour Mehrzad. Study of Geometric Measure of Entanglement Produced by One-axis Counter Twisting Hamiltonian in Spin Systems. IRANIAN JOURNAL OF APPLIED PHYSICS[Internet]. 2021;10(4 (23) ):67-78. Available from: https://sid.ir/paper/412396/en

    IEEE: Copy

    Azita Naji, Mahmood Zeheiry, and Mehrzad Ashrafpour, “Study of Geometric Measure of Entanglement Produced by One-axis Counter Twisting Hamiltonian in Spin Systems,” IRANIAN JOURNAL OF APPLIED PHYSICS, vol. 10, no. 4 (23) , pp. 67–78, 2021, [Online]. Available: https://sid.ir/paper/412396/en

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