Entanglement of two qubits interacting with one-mode quantum field
In the present paper we investigate the dynamics of the system of two twolevel natural or artificial atoms, in which only one atom couples to a thermal one-mode field in finite-Q cavity, since one of them can move around the cavity. For the description of the dynamics of the system we find the eigenvalu...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2015-06-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Subjects: | |
| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/20442/16690 |
| _version_ | 1811330275388424192 |
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| author | Eugene K Bashkirov Michail S Mastyugin |
| author_facet | Eugene K Bashkirov Michail S Mastyugin |
| author_sort | Eugene K Bashkirov |
| collection | DOAJ |
| description | In the present paper we investigate the dynamics of the system of two twolevel natural or artificial atoms, in which only one atom couples to a thermal one-mode field in finite-Q cavity, since one of them can move around the cavity. For the description of the dynamics of the system we find the eigenvalues and eigenfunctions of a Hamiltonian of the system. With their help we derive the exact expression for a density matrix of the system in case of a pure initial state of atoms and a thermal state of a field. The reduced atomic density matrix is found. The one-qubit transposing of an atomic density matrix is carried out. With its help the Peres-Horodecki criterium is calculated. Numerical calculations of entanglement parameter is done for different initial pure states of atoms and mean photon numbers in a thermal mode. It is found that the thermal field can induce a high degree of qubits entanglement in considered model. Thus we have derived that one can use the strength of dipole-dipole interaction and cavity temperature for entanglement control in the considered system. It is shown also that the maximum degree of entanglement is reached for one-atom excited state. |
| first_indexed | 2024-04-13T15:58:48Z |
| format | Article |
| id | doaj.art-8692ae359aa04205bf393de1dace365a |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-04-13T15:58:48Z |
| publishDate | 2015-06-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-8692ae359aa04205bf393de1dace365a2022-12-22T02:40:36ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812015-06-0119220522010.14498/vsgtu137717863Entanglement of two qubits interacting with one-mode quantum fieldEugene K Bashkirov0Michail S Mastyugin1Samara State UniversitySamara State UniversityIn the present paper we investigate the dynamics of the system of two twolevel natural or artificial atoms, in which only one atom couples to a thermal one-mode field in finite-Q cavity, since one of them can move around the cavity. For the description of the dynamics of the system we find the eigenvalues and eigenfunctions of a Hamiltonian of the system. With their help we derive the exact expression for a density matrix of the system in case of a pure initial state of atoms and a thermal state of a field. The reduced atomic density matrix is found. The one-qubit transposing of an atomic density matrix is carried out. With its help the Peres-Horodecki criterium is calculated. Numerical calculations of entanglement parameter is done for different initial pure states of atoms and mean photon numbers in a thermal mode. It is found that the thermal field can induce a high degree of qubits entanglement in considered model. Thus we have derived that one can use the strength of dipole-dipole interaction and cavity temperature for entanglement control in the considered system. It is shown also that the maximum degree of entanglement is reached for one-atom excited state.https://journals.eco-vector.com/1991-8615/article/viewFile/20442/16690entanglementqubitthermal noisedipole-dipole interactionperes-horodecki criterium |
| spellingShingle | Eugene K Bashkirov Michail S Mastyugin Entanglement of two qubits interacting with one-mode quantum field Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki entanglement qubit thermal noise dipole-dipole interaction peres-horodecki criterium |
| title | Entanglement of two qubits interacting with one-mode quantum field |
| title_full | Entanglement of two qubits interacting with one-mode quantum field |
| title_fullStr | Entanglement of two qubits interacting with one-mode quantum field |
| title_full_unstemmed | Entanglement of two qubits interacting with one-mode quantum field |
| title_short | Entanglement of two qubits interacting with one-mode quantum field |
| title_sort | entanglement of two qubits interacting with one mode quantum field |
| topic | entanglement qubit thermal noise dipole-dipole interaction peres-horodecki criterium |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20442/16690 |
| work_keys_str_mv | AT eugenekbashkirov entanglementoftwoqubitsinteractingwithonemodequantumfield AT michailsmastyugin entanglementoftwoqubitsinteractingwithonemodequantumfield |