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Journal of Modern Optics

Absorption spectrum of a four-level atom with injected squeezed vacuum

Sotirios A. Hadjiagapiou

Published Jan 1, 2001• 0 citations
Publisher

Abstract

The absorption spectrum of a coherently driven four-level atom in the N-configuration and coupled to a broadband squeezed vacuum is examined. The squeezed vacuum is coupled only to the intermediate levels of the atom. The absorption spectrum has a threshold separating the spectrum into two regions with different behaviour and characteristics. The appropriate conditions for transparency are studied.

DOI
10.1080/09500340108235152

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The absorption spectrum of a coherently driven four-level atom in the N-configuration and coupled to a broadband squeezed vacuum is examined. The squeezed vacuum is coupled only to the intermediate levels of the atom. The absorption spectrum has a threshold separating the spectrum into two regions with different behaviour and characteristics. The appropriate conditions for transparency are studied.
We examine the response of a coherently driven two-level atom interacting with a broadband squeezed vacuum to a probe beam of arbitrary intensity. The equations of motion for the reduced density matrix elements are numerically solved by nonperturbative matrix inversion methods. For large driving intensities, the absorption spectrum exhibits a number of multiphoton absorption peaks with increasing probe strength in a standard vacuum and in a squeezed vacuum with small photon numbers, while the multiphoton absorption peaks are wiped out for large squeezed photon numbers. Strong gain without inversion at line center can be obtained in the presence of the squeezed vacuum when the probe strength does not exceed the driving one. The absorption spectrum is phase sensitive. We also find the presence of remarkable, very narrow structures at line center. In general, the spectrum is symmetric when \ensuremath{\Phi}=0 and \ensuremath{\pi}; otherwise, it is asymmetric and displays a dispersivelike profile at line center.
The resonance fluorescence system of a coherently driven two-level atom in the presence of a broadband squeezed vacuum field whose central frequency is not in resonance with either the driving field frequency or the atomic transition frequency is analyzed. Solutions of the Bloch equations of the system are presented in terms of continued fractions for arbitrary strength of the coherent driving field. Numerical results are presented for the first-harmonic quadrature components of the absorption spectrum and the fluorescent intensity. The effects of the squeezed vacuum field detuning on the absorption spectrum result in hole burning or a dip structure in the weak-field case and two absorption–amplification peaks in the strong-field case. Results are sensitive to the relative phase of the squeezed vacuum.
We consider a two-level atom in an optical cavity driven by a coherent field and coupled to broadband squeezed vacuum. In the bad-cavity limit, the cavity field can be adiabatically eliminated, leaving equations of motion for atomic operators similar to those of free-space resonance fluorescence. We calculate the incoherent spectrum of the fluorescent light field and find that the cavity-enhanced spontaneous emission can be suppressed, and a subnatural linewidth obtained, for the correct choice of the phase of the squeezed input relative to the coherent driving field.