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Abstract
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In this paper, we introduce a new kind of photon-added entangled coherent states (PA-ECSs),
by performing repeatedly a f-deformed photon-addition (DPA) operation, A† = f(ˆn)a†, on each mode of
the entangled coherent states (ECSs), |±(). By choosing a particular deformation function f(ˆn), we
study how the entanglement properties can be enhanced by DPA operation. As a result, we show that both
the single and two-mode DPA operation can be used to improve the entanglement of |+(), where the
effects of improvement by two-mode DPA operation are more prominent than those by single-mode DPA
operation, in any amplitude regime. Moreover, our results show there exists a family of coherent amplitudes
|| such that the two-mode DPA operation preserves the maximal entanglement of the odd ECSs |−(),
where the non-deformed photon-addition operation a† suppresses the entanglement amount. Finally, a
theoretical scheme for the physical generation of the introduced states based on a Jaynes-Cummings model
with intensity-dependent couplings is proposed.
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