Abstract
The quantum Fisher information of an atomic system interacting with a single cavity mode in the presence of Kerr medium is discussed. It is shown that quantum Fisher information for an initial separable atomic system is larger than that depicted for the initial entangled atomic system. For initial vacuum state of the cavity mode, the quantum Fisher information with respect to the Kerr medium and the phase decoherence parameter is larger than that displayed for the detuning parameter. Both phase decoherence and Kerr medium have the same effect on the decay of quantum Fisher information, while they have an opposite effect on its maximum values.
Highlights
Fisher information is proposed to detect the precision of the parameter in estimation theory[1]
It is assumed that an atomic system consists of two two-level atoms interacting with a single cavity mode field which is initially prepared in the Fock state n + 1
A two-atom system interacting with a cavity mode which is initially prepared in the Fock state in presence of Kerr medium under decoherence is considered
Summary
It is assumed that an atomic system consists of two two-level atoms interacting with a single cavity mode field which is initially prepared in the Fock state n + 1. Where a(a†) denotes to the annihilation (creation) operator of the single cavity mode, ωa and ωf are the atomic and field transition frequencies, respectively. Where ρ(0) is the density operator of the initial atom-field system. Let us assume that the cavity field is initially prepared in the Fock state|ψf (0)〉 = |n + 1〉 and the atomic system is initially prepared in the entangled states |ψAB(0)〉 = cosφ|10〉 + sinφ|10〉. Using Eqs (5) and (7) we can obtain the reduced density matrix of the atomic system ρAB(t) after taking the trace over the field in the form ρAB(t) = ρ11|11〉〈11| + ρ22|10〉〈10| + ρ33|01〉〈01|
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