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Journal of Physics Conference Series

Low-frequency fluorescence spectrum of a laser driven polar quantum emitter damped by squeezed vacuum with finite bandwidth

N. N. Bogolyubov, Andrey Vladimirovich Soldatov

Published Oct 1, 2021• 3 citations
Publisher

Abstract

Abstract A two-level quantum emitter with broken inversion symmetry driven by external semiclassical monochromatic high-frequency electromagnetic (e.g., laser) field and damped by squeezed vacuum reservoir with finite bandwidth is presented. The squeezed vacuum source is assumed to be either degenerate parametric oscillator (DPO) or a non-degenerate parametric oscillator (NDPO). It is shown that the shape of low-frequency fluorescence spectrum of the emitter can be effectively alternated by controlling the degree of the squeezed vacuum source degeneration and phase of the squeezing.

DOI
10.1088/1742-6596/2056/1/012001

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Abstract A study of the absorption spectrum of a weak-probe beam irradiating a two-level quantum emitter with broken inversion symmetry driven by external monochromatic high-frequency electromagnetic (e.g. laser) field and damped by squeezed vacuum reservoir with finite bandwidth was carried out for the case of the squeezed vacuum source being represented by a non-degenerate parametric oscillator below threshold. It was shown that this atom-driving-field system can either amplify or absorb weak probe electromagnetic radiation beam of much lower frequency than the frequency of the driving field. The shape of the absorption and amplification spectra can be controlled by the degree of the squeezed vacuum source degeneration and by the phase of the squeezing, while the switching between these two modes of operation can only be controlled by the phase of the squeezing.
Abstract Down-conversion of high-frequency EM field in a simple quantum two-level system (also known as two-level atom) with broken inversion symmetry driven by a coherent laser field and damped by a squeezed vacuum reservoir is analyzed. It is shown that the squeezing leads to broadening of the low-frequency radiative peak in the fluorescence spectrum of the system. At the same time, changing the reference phase of the squeezed field and the degree of squeezing allows to manipulate the shape of this peak.
Abstract It is shown that a two-level quantum system with broken inversion symmetry possessing dipole moment operator with permanent non-equal diagonal matrix elements, driven by external semiclassical monochromatic high-frequency electromagnetic (laser) field and damped by broadband squeezed vacuum reservoir can amplify or absorb weak probe electromagnetic radiation field of much lower frequency depending on the reference phase of the squeezed field. Varying the degree of squeezing allows to alter the magnitude of the absorption or amplification rate.
Summary form only given. We extend the analytical technique to the case of a fully quantized dressed-atom model with a detuned driving laser field and incorporate the cavity effect on the fluorescence spectrum. We find that the population trapping effect, predicted for the broadband squeezed vacuum case, may appear in a narrow-bandwidth squeezed vacuum only if there is nonzero squeezing at the Rabi sidebands. We show that this condition is readily achieved with a squeezed vacuum that is the output from a nondegenerate parametric oscillator, whereas for a squeezed vacuum that is the output from a degenerate parametric oscillator a squeezing bandwidth comparable to the Rabi frequency is required.
The resonance fluorescence of a two-level atom driven by a coherent laser field and damped by a finite bandwidth squeezed vacuum is analysed. We extend the Yeoman and Barnett technique to a non-zero detuning of the driving field from the atomic resonance and discuss the role of squeezing bandwidth and the detuning in the level shifts, widths and intensities of the spectral lines. The approach is valid for arbitrary values of the Rabi frequency and detuning but for the squeezing bandwidths larger than the natural line-width in order to satisfy the Markoff approximation. The narrowing of the spectral lines is interpreted in terms of the quadrature-noise spectrum. We find that, depending on the Rabi frequency, detuning and the squeezing phase, different factors contribute to the line narrowing. For a strong resonant driving field there is no squeezing in the emitted field and the fluorescence spectrum exactly reveals the noise spectrum. In this case the narrowing of the spectral lines arises from the noise reduction in the input squeezed vacuum. For a weak or detuned driving field the fluorescence exhibits a large squeezing and, as a consequence, the spectral lines have narrowed linewidths. Moreover, the fluorescence spectrum can be asymmetric about the central frequency despite the symmetrical distribution of the noise. The asymmetry arises from the absorption of photons by the squeezed vacuum which reduces the spontaneous emission. For an appropriate choice of the detuning some of the spectral lines can vanish despite that there is no population trapping. Again this process can be interpreted as arising from the absorption of photons by the squeezed vacuum. When the absorption is large it may compensate the spontaneous emission resulting in the vanishing of the fluorescence lines.