Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics Conference Series

Dynamics of two dipole-coupled superconducting qubits interacting with two independent cavity modes

Mikhail M. Evseev, Eugene K. Bashkirov

Published Nov 1, 2019• 0 citations
Publisher

Abstract

Abstract In this paper, we have investigated the entanglement dynamics between two dipole-coupled superconducting qubits not resonantly interacting with two microwave modes of independent coplanar resonators. The case of different atom-field couplings has been under consideration. Using the dressed-states technique we have derived the exact solution of the evolution equation for separable initial qubits states and field modes in the vacuum states. On its basis the negativity as a measure of qubit-qubit entanglement has been calculated. The time dependence of negativity for different values of detuning between the qubits and fields frequencies, atom-field couplings and strength of the dipole-dipole interaction has been investigated for different separable initial qubits states.

DOI
10.1088/1742-6596/1368/2/022009

Related papers

Modeling of entanglement behavior of two dipole-coupled superconducting qubits interacting with quantum fields in lossless cavities

Л. Д. Покроєва, Т. В. Дрожжина, Коченгіна М.В.

We have investigated the entanglement dynamics between two initially entangled superconducting qubits interacting with vacuum fields of one or two independent coplanar 1D resonators. Three types of two-qubits generalized Jaynes-Cummings models with different atom-field coupling constants and detunings and direct dipole-dipole interaction has been considered. Using the dressed-states technique we have derived the exact solutions for models under consideration. The computer modeling of the time dependence of qubit-qubit entanglement (negativity) has been carried out for different strength of the dipole-dipole interaction. Results show that dipole-dipole interaction may be used for entanglement control.

•Jan 1, 2017•0 citations

The influence of dipole-dipole interaction on entanglement of two superconducting qubits in the framework of double Jaynes-Cummins model

Mikhail M. Evseev, Eugene K. Bashkirov

In this paper we investigated the entanglement dynamics between two superconducting qubits interacting with two microwave modes of independent coplanar cavities taking into account the direct dipole-dipole interaction. The model with different qubit-field couplings and detunings is under consideration. Using the dressed-states representation technique we derived the exact solution for considered model with qubits prepared initially in entangled states and vacuum field modes. We have carried out the dependence of the atom-atom entanglement on the strength of the dipole-dipole interaction and other parameters of the considered system such as different coupling constants and detunings. The results showed that the presence of a sufficiently large dipole-dipole interaction leads to stabilization of entanglement.

Journal of Physics Conference Series•Nov 1, 2017•4 citations

Detuning and dipole-dipole interaction effects on the entanglement of two qubits interacting with quantum fields of resonators

Eugene K. Bashkirov

We investigate the entanglement dynamics between two dipole-coupled qubits interacting with vacuum or thermal fields of lossless resonators. Double Jaynes-Cummings model and two-atom Jaynes-Cummings model are considered taking into account detuning and direct dipole-dipole interaction. Using the dressed-states technique we derive the exact solutions for models under consideration. The computer modeling of the time dependence of qubit-qubit negativity is carried out for different strength of the dipole-dipole interaction and detuning. Results show that dipole-dipole interaction and detuning may be used for entanglement operating and controlling.

International Conference on Information Technology and Nanotechnology (ITNT)•Jan 1, 2017•0 citations

Dynamics of entanglement of qubits in not-resonant two-qubit Jaynes — Cummings model in the presence of dipole-dipole and Ising interactions

Башкиров Е. К

In this paper, we study the dynamics of a system consisting of two identical qubits interacting non-resonantly with a single-mode field of an ideal resonator in the presence of direct dipole-dipole and Ising interactions between the qubits. In the representation of "dressed" states, we find an exact solution of the quantum time Liouville equation for the full density matrix of the system under consideration for the initial separable and entangled states of the qubits and the thermal initial state of the resonator field. Based on the exact solution, the criterion for qubit entanglement, negativity, is calculated. The results of numerical modeling of negativity show that the inclusion of dipole-dipole and Ising coupling in the case of separable initial states of qubits can lead to a significant increase in the maximum degree of their entanglement, and in the case of entangled initial states of qubits, to stabilization of the initial entanglement. For the model with resonant interaction of qubits and the resonator field, direct interaction of qubits can also lead to the disappearance of the sudden death of entanglement effect.

Vestnik of Samara University Natural Science Series•Jan 15, 2026•0 citations

Long-lived entangled states in the double Jaynes–Cummings model taking into account the qubits direct dipole-dipole interaction

Evgeny K. Bashkirov

Background. The study of entangled states in Jaynes–Cummings models and its multiqubit generalizations and extensions remains an important and relevant topic in modern quantum optics, quantum information science and solid state physics. This is due to the fact that such models naturally describe the dynamics of interaction of logical elements of quantum devices, such as quantum computers or quantum networks (qubits) with microwave fields of resonators used to control the states of qubits. In this regard, it is very important to search for the most efficient schemes of generation, control and monitoring of entangled qubit states within the framework of Jaynes–Cummings type models. Aim. To investigate the entanglement dynamics of a pair of qubits, each of which is locked in a single-mode resonator and interacts non-resonantly with the vacuum field mode, in the presence of detuning between frequencies of transitions in the qubits and frequencies of resonator modes and dipole-dipole interaction of the qubits. Methods. To analyze the dynamics of the considered system, the solution of the time-dependent quantum Schrödinger equation is investigated. The exact solution of the above equation in the case of entangled Bell-type initial qubits states is found. This is used to calculate the criterion of entanglement of a pair of qubits – negativity. Numerical modeling of the time dependence of negativity for different values of the parameters of the considered model has been carried out. Results. It is shown that the presence of detuning, the difference in the qubit-photon couplings and the intensity of the dipole-dipole interaction significantly affect the maximum degree of entanglement of the qubit subsystem during its evolution. It is found that for certain parameters of the model under consideration, the initial Bell entangled states of qubits can be considered as long-lived stable states. Conclusion. The possibility of realization of long-lived and robust two-qubit entangled states in the system under consideration has been established. The obtained results can be used for effective control and manipulation of the degree of entanglement of qubits interacting with microwave fields of resonators.

Physics of Wave Processes and Radio Systems•Oct 10, 2025•0 citations

Entanglement of two dipole-coupled qubits induced by a detuned thermal field

Eugene K. Bashkirov

In this paper we have investigated the dynamics of entanglement of two identical qubits non-resonantly interacting with one mode of a vacuum or a thermal electromagnetic field in lossless cavity in the presence of a direct dipole-dipole interaction. Based on the exact solution to the equation used in this analysis, the Peres-Horodecki entanglement parameter (negativity) for qubits has been found. Numerical simulation of the negativity for various model parameters has been carried out. It has been shown that the interactions of qubits with a thermal field in a cavity can lead to their entanglement. It has been established that the detuning and dipole-dipole interaction of qubits can be used to manipulate and control the amount of atomic entanglement.

Journal of Physics Conference Series•Sep 1, 2018•0 citations
Abstract In this paper, we have investigated the entanglement dynamics between two dipole-coupled superconducting qubits not resonantly interacting with two microwave modes of independent coplanar resonators. The case of different atom-field couplings has been under consideration. Using the dressed-states technique we have derived the exact solution of the evolution equation for separable initial qubits states and field modes in the vacuum states. On its basis the negativity as a measure of qubit-qubit entanglement has been calculated. The time dependence of negativity for different values of detuning between the qubits and fields frequencies, atom-field couplings and strength of the dipole-dipole interaction has been investigated for different separable initial qubits states.
We have investigated the entanglement dynamics between two initially entangled superconducting qubits interacting with vacuum fields of one or two independent coplanar 1D resonators. Three types of two-qubits generalized Jaynes-Cummings models with different atom-field coupling constants and detunings and direct dipole-dipole interaction has been considered. Using the dressed-states technique we have derived the exact solutions for models under consideration. The computer modeling of the time dependence of qubit-qubit entanglement (negativity) has been carried out for different strength of the dipole-dipole interaction. Results show that dipole-dipole interaction may be used for entanglement control.
In this paper we investigated the entanglement dynamics between two superconducting qubits interacting with two microwave modes of independent coplanar cavities taking into account the direct dipole-dipole interaction. The model with different qubit-field couplings and detunings is under consideration. Using the dressed-states representation technique we derived the exact solution for considered model with qubits prepared initially in entangled states and vacuum field modes. We have carried out the dependence of the atom-atom entanglement on the strength of the dipole-dipole interaction and other parameters of the considered system such as different coupling constants and detunings. The results showed that the presence of a sufficiently large dipole-dipole interaction leads to stabilization of entanglement.
We investigate the entanglement dynamics between two dipole-coupled qubits interacting with vacuum or thermal fields of lossless resonators. Double Jaynes-Cummings model and two-atom Jaynes-Cummings model are considered taking into account detuning and direct dipole-dipole interaction. Using the dressed-states technique we derive the exact solutions for models under consideration. The computer modeling of the time dependence of qubit-qubit negativity is carried out for different strength of the dipole-dipole interaction and detuning. Results show that dipole-dipole interaction and detuning may be used for entanglement operating and controlling.
In this paper, we study the dynamics of a system consisting of two identical qubits interacting non-resonantly with a single-mode field of an ideal resonator in the presence of direct dipole-dipole and Ising interactions between the qubits. In the representation of "dressed" states, we find an exact solution of the quantum time Liouville equation for the full density matrix of the system under consideration for the initial separable and entangled states of the qubits and the thermal initial state of the resonator field. Based on the exact solution, the criterion for qubit entanglement, negativity, is calculated. The results of numerical modeling of negativity show that the inclusion of dipole-dipole and Ising coupling in the case of separable initial states of qubits can lead to a significant increase in the maximum degree of their entanglement, and in the case of entangled initial states of qubits, to stabilization of the initial entanglement. For the model with resonant interaction of qubits and the resonator field, direct interaction of qubits can also lead to the disappearance of the sudden death of entanglement effect.
Background. The study of entangled states in Jaynes–Cummings models and its multiqubit generalizations and extensions remains an important and relevant topic in modern quantum optics, quantum information science and solid state physics. This is due to the fact that such models naturally describe the dynamics of interaction of logical elements of quantum devices, such as quantum computers or quantum networks (qubits) with microwave fields of resonators used to control the states of qubits. In this regard, it is very important to search for the most efficient schemes of generation, control and monitoring of entangled qubit states within the framework of Jaynes–Cummings type models. Aim. To investigate the entanglement dynamics of a pair of qubits, each of which is locked in a single-mode resonator and interacts non-resonantly with the vacuum field mode, in the presence of detuning between frequencies of transitions in the qubits and frequencies of resonator modes and dipole-dipole interaction of the qubits. Methods. To analyze the dynamics of the considered system, the solution of the time-dependent quantum Schrödinger equation is investigated. The exact solution of the above equation in the case of entangled Bell-type initial qubits states is found. This is used to calculate the criterion of entanglement of a pair of qubits – negativity. Numerical modeling of the time dependence of negativity for different values of the parameters of the considered model has been carried out. Results. It is shown that the presence of detuning, the difference in the qubit-photon couplings and the intensity of the dipole-dipole interaction significantly affect the maximum degree of entanglement of the qubit subsystem during its evolution. It is found that for certain parameters of the model under consideration, the initial Bell entangled states of qubits can be considered as long-lived stable states. Conclusion. The possibility of realization of long-lived and robust two-qubit entangled states in the system under consideration has been established. The obtained results can be used for effective control and manipulation of the degree of entanglement of qubits interacting with microwave fields of resonators.
In this paper we have investigated the dynamics of entanglement of two identical qubits non-resonantly interacting with one mode of a vacuum or a thermal electromagnetic field in lossless cavity in the presence of a direct dipole-dipole interaction. Based on the exact solution to the equation used in this analysis, the Peres-Horodecki entanglement parameter (negativity) for qubits has been found. Numerical simulation of the negativity for various model parameters has been carried out. It has been shown that the interactions of qubits with a thermal field in a cavity can lead to their entanglement. It has been established that the detuning and dipole-dipole interaction of qubits can be used to manipulate and control the amount of atomic entanglement.