Entanglement of two dipole-couples qubits induced by a thermal field of a cavity with Kerr medium

In the present work, we investigated the dynamics of two identical superconducting qubits interacting with the mode of the quantum electromagnetic field of a microwave coplanar cavity with a Kerr medium in the presence of an effective dipole-dipole interaction of the qubits. We have found an exact s...

Full description

Bibliographic Details
Main Authors: Rodion K. Zakharov, Evgeny K. Bashkirov
Format: Article
Language:English
Published: Povolzhskiy State University of Telecommunications & Informatics 2021-11-01
Series:Физика волновых процессов и радиотехнические системы
Subjects:
Online Access:https://journals.ssau.ru/pwp/article/viewFile/9807/8632
_version_ 1797382558851268608
author Rodion K. Zakharov
Evgeny K. Bashkirov
author_facet Rodion K. Zakharov
Evgeny K. Bashkirov
author_sort Rodion K. Zakharov
collection DOAJ
description In the present work, we investigated the dynamics of two identical superconducting qubits interacting with the mode of the quantum electromagnetic field of a microwave coplanar cavity with a Kerr medium in the presence of an effective dipole-dipole interaction of the qubits. We have found an exact solution of the quantum Liouville equation for the complete density matrix of the system under consideration for the Fock and thermal chaotic initial states of the cavityr field. The exact solution for the full density matrix was used to determine the reduced qubit density matrix and to calculate the entanglement parameter – concurrence. Computer simulation of the time dependence of the concurrshowed that for certain initial states of qubits, their entanglement can be significantly increased in the presence of a Kerr medium and direct dipole-dipole interaction.
first_indexed 2024-03-08T21:07:11Z
format Article
id doaj.art-243b84f95af64f9894e83d525664644f
institution Directory Open Access Journal
issn 1810-3189
2782-294X
language English
last_indexed 2024-03-08T21:07:11Z
publishDate 2021-11-01
publisher Povolzhskiy State University of Telecommunications & Informatics
record_format Article
series Физика волновых процессов и радиотехнические системы
spelling doaj.art-243b84f95af64f9894e83d525664644f2023-12-22T10:31:41ZengPovolzhskiy State University of Telecommunications & InformaticsФизика волновых процессов и радиотехнические системы1810-31892782-294X2021-11-0124391710.18469/1810-3189.2021.24.3.9-178427Entanglement of two dipole-couples qubits induced by a thermal field of a cavity with Kerr mediumRodion K. Zakharov0Evgeny K. Bashkirov1https://orcid.org/0000-0003-2569-1322Samara National Research UniversitySamara National Research UniversityIn the present work, we investigated the dynamics of two identical superconducting qubits interacting with the mode of the quantum electromagnetic field of a microwave coplanar cavity with a Kerr medium in the presence of an effective dipole-dipole interaction of the qubits. We have found an exact solution of the quantum Liouville equation for the complete density matrix of the system under consideration for the Fock and thermal chaotic initial states of the cavityr field. The exact solution for the full density matrix was used to determine the reduced qubit density matrix and to calculate the entanglement parameter – concurrence. Computer simulation of the time dependence of the concurrshowed that for certain initial states of qubits, their entanglement can be significantly increased in the presence of a Kerr medium and direct dipole-dipole interaction.https://journals.ssau.ru/pwp/article/viewFile/9807/8632superconducting qubitskerr nonlinearitydipole-dipole interactionfock and thermal fieldentanglementconcurrence
spellingShingle Rodion K. Zakharov
Evgeny K. Bashkirov
Entanglement of two dipole-couples qubits induced by a thermal field of a cavity with Kerr medium
Физика волновых процессов и радиотехнические системы
superconducting qubits
kerr nonlinearity
dipole-dipole interaction
fock and thermal field
entanglement
concurrence
title Entanglement of two dipole-couples qubits induced by a thermal field of a cavity with Kerr medium
title_full Entanglement of two dipole-couples qubits induced by a thermal field of a cavity with Kerr medium
title_fullStr Entanglement of two dipole-couples qubits induced by a thermal field of a cavity with Kerr medium
title_full_unstemmed Entanglement of two dipole-couples qubits induced by a thermal field of a cavity with Kerr medium
title_short Entanglement of two dipole-couples qubits induced by a thermal field of a cavity with Kerr medium
title_sort entanglement of two dipole couples qubits induced by a thermal field of a cavity with kerr medium
topic superconducting qubits
kerr nonlinearity
dipole-dipole interaction
fock and thermal field
entanglement
concurrence
url https://journals.ssau.ru/pwp/article/viewFile/9807/8632
work_keys_str_mv AT rodionkzakharov entanglementoftwodipolecouplesqubitsinducedbyathermalfieldofacavitywithkerrmedium
AT evgenykbashkirov entanglementoftwodipolecouplesqubitsinducedbyathermalfieldofacavitywithkerrmedium