Abstract
In this paper, we discuss a scheme for protecting entanglement between two qubits by employing the technique of reservoir engineering through the utilization of a leaky cavity with parity deformed fields. The qubits are moving inside the cavity reservoir, interacting with each other via the dipole-dipole coupling, and asymmetrically coupled to the parity deformed cavity modes. The parity deformed cavity modes introduce an intensity-dependent coupling between the qubits and cavity which acts as a control factor. We obtain the time-dependent as well as steady-state forms of the system’s density matrix when the total excitation number is one. Then, we discuss in detail the effects of different parameters on the entanglement protection in both the Markovian and non-Markovian regimes. It is deduced from the numerical results that the initial entanglement in the moving two-qubit system can be strongly protected by suitably choosing the parity deformation parameter. We find a region of qubit–environment couplings with values slightly deviated from the vicinity of the symmetric couplings configurations that may lead to much better protection. This region can be extended to include all the allowed qubit–environment coupling values by tailoring the parity deformation parameter. We show that a stronger entanglement protection can be also obtained by regularly increasing the velocity of the qubits, although, without the parity deformation, higher velocities do not necessarily guarantee entanglement protection. These results are helpful for the practical control of entanglement dynamics in the future.
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The datasets analyzed during the current study are available from the corresponding author on reasonable request.
Notes
Here we focus on the non-relativistic quantum description of the atom–cavity interaction. The relativistic effects of the light–matter interaction can be understood by means of the Unruh–DeWitt (UDW) model [51, 52]. The relativistic effect of particle detectors moving along the central axis of a cavity can be found in Ref. [53].
In the optical regime, the atomic transition frequencies and atom–cavity couplings are of the order of \(10^{15}\) Hz and \(10^{7}\) Hz, respectively.
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Mojaveri, B., Taghipour, J. Entanglement protection of two qubits moving in an environment with parity-deformed fields. Eur. Phys. J. Plus 138, 263 (2023). https://doi.org/10.1140/epjp/s13360-023-03875-9
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DOI: https://doi.org/10.1140/epjp/s13360-023-03875-9