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Journal of Russian Laser Research

Entanglement and quantum Fisher information of two qutrits interacting with a single field in a cavity

K. Berrada, Mariam Algarni, S. Abdel-Khalek

Published Jul 1, 2025• 0 citations
Publisher
DOI
10.1007/s10946-025-10253-6

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Entanglement detection via quantum Fisher information in a coupled atom-field system

Safoura Sadat Mirkhalaf

We consider a system of finite number of particles collectively interacting with a single mode coherent \nfield inside the cavity. Depending on the strength of the initial field compared to the number of \natoms, we introduce three regimes of weak, intermediate and strong field interaction. The dynamics \nof multi-particle entanglement detected by quantum Fisher information is studied in each regime. \nSpecifically, for the two extreme limits of weak and strong field regimes, analytical results are \nfound. Moreover, we have compared our outcomes with spin squeezing. It is seen that in the weak \nfield regime, spin squeezing and quantum Fisher information coincides. However, by increasing the \ninitial field population toward the strong field regime, spin squeezing compared to quantum Fisher \ninformation gradually decreases and eventually fails in detecting entanglement. In addition, in the \ntwo-atom system, we also consider concurrence. In this case, the quantum Fisher information and \nconcurrence show good agreement in predicting entanglement peaks.

•Jan 1, 2016•0 citations
Adopting the Milburn decoherence model, we investigate the performance of quantum Fisher information of the two-qutrit isotropic Heisenberg XY chain under decoherence. We find that the quantum Fisher information with respect to the decoherence rate and the magnetic field decreases exponentially in the long-time limit, which significantly reduces the precision of optimal quantum estimation. We also show that with the increase of the decoherence rate or the magnetic field, the QFIs go down considerably. Furthermore, we find that the precision of optimal quantum estimation can be enhanced by the entanglement in the input state.
We consider a system of finite number of particles collectively interacting with a single-mode coherent field inside a cavity. Depending on the strength of the initial field compared to the number of atoms, we consider three regimes of weak-, intermediate-, and strong-field interaction. The dynamics of multiparticle entanglement detected by quantum Fisher information and spin squeezing are studied in each regime. It is seen that in the weak-field regime, spin squeezing and quantum Fisher information coincide. However, by increasing the initial field population toward the strong-field regime, quantum Fisher information is more effective in detecting entanglement compared to spin squeezing. In addition, in the two-atom system, we also study concurrence. In this case, the quantum Fisher information as a function of time is in good agreement with concurrence in predicting entanglement peaks.
We consider a system of finite number of particles collectively interacting with a single mode coherent \nfield inside the cavity. Depending on the strength of the initial field compared to the number of \natoms, we introduce three regimes of weak, intermediate and strong field interaction. The dynamics \nof multi-particle entanglement detected by quantum Fisher information is studied in each regime. \nSpecifically, for the two extreme limits of weak and strong field regimes, analytical results are \nfound. Moreover, we have compared our outcomes with spin squeezing. It is seen that in the weak \nfield regime, spin squeezing and quantum Fisher information coincides. However, by increasing the \ninitial field population toward the strong field regime, spin squeezing compared to quantum Fisher \ninformation gradually decreases and eventually fails in detecting entanglement. In addition, in the \ntwo-atom system, we also consider concurrence. In this case, the quantum Fisher information and \nconcurrence show good agreement in predicting entanglement peaks.