Thermal Entanglement between Two Coupled Two-Level Atoms on Two-Photon Interaction with Codirectional Kerr Nonlinear Coupler

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Mojaveri Bashir; DEHGHANI ALIREZA; Fasihi Mohammad Ali; MOHAMMADPOUR TOURAJ

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Paper Information

Journal: JOURNAL OF RESEARCH ON MANY BODY SYSTEMS Year:2019 | Volume:9 | Issue:3 (22) Page(s): 164-175

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Title

Thermal Entanglement between Two Coupled Two-Level Atoms on Two-Photon Interaction with Codirectional Kerr Nonlinear Coupler

Author(s)

Mojaveri Bashir | DEHGHANI ALIREZA | Fasihi Mohammad Ali | MOHAMMADPOUR TOURAJ | Issue Writer Certificate

Keywords

codirectional Kerr nonlinear couplerQ1

thermal entanglementQ1

Jaynes-Cummings modelQ1

concurrenceQ1

Abstract

In this paper, a Hamiltonian model, which includes the interaction of two two-level atoms with a codirectional Kerr nonlinear coupler via the Raman non-degenerate two-photon transition, is introduced. The atomic interaction is assumed to be in the dipole-dipole form, and the total system is also in thermal equilibrium with the environment. The total excitation number operator, as the constant of the motion of the system, provides a decomposition of the Hilbert space of system into direct sums of invariant subspaces. As a result, the representation of the Hamiltonian becomes a block-diagonal matrix. By diagonalizing each of the blocks, we obtain eigenvalues and the corresponding eigenstates of the Hamiltonian. Then we obtain the thermal state of the system in the whole Hilbert space and within its excitation subspaces. We quantify the thermal entanglement between the atoms in the Hilbert space of the system and within its excitation subspaces using the measure of the concurrence. Finally, the effect of temperature and system parameters on the degree of thermal entanglement is investigated. The results show that in the subspaces with an odd excitation number, the atomic thermal entanglement is thermally robust and remains constant.

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APA: Copy

Mojaveri, Bashir, DEHGHANI, ALIREZA, Fasihi, Mohammad Ali, & MOHAMMADPOUR, TOURAJ. (2019). Thermal Entanglement between Two Coupled Two-Level Atoms on Two-Photon Interaction with Codirectional Kerr Nonlinear Coupler. JOURNAL OF RESEARCH ON MANY BODY SYSTEMS, 9(3 (22) ), 164-175. SID. https://sid.ir/paper/408553/en

Vancouver: Copy

Mojaveri Bashir, DEHGHANI ALIREZA, Fasihi Mohammad Ali, MOHAMMADPOUR TOURAJ. Thermal Entanglement between Two Coupled Two-Level Atoms on Two-Photon Interaction with Codirectional Kerr Nonlinear Coupler. JOURNAL OF RESEARCH ON MANY BODY SYSTEMS[Internet]. 2019;9(3 (22) ):164-175. Available from: https://sid.ir/paper/408553/en

IEEE: Copy

Bashir Mojaveri, ALIREZA DEHGHANI, Mohammad Ali Fasihi, and TOURAJ MOHAMMADPOUR, “Thermal Entanglement between Two Coupled Two-Level Atoms on Two-Photon Interaction with Codirectional Kerr Nonlinear Coupler,” JOURNAL OF RESEARCH ON MANY BODY SYSTEMS, vol. 9, no. 3 (22) , pp. 164–175, 2019, [Online]. Available: https://sid.ir/paper/408553/en

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