We investigate correlations between orthogonally polarized cavity modes of a bimodal micropillar laser with a single layer of self-assembled quantum dots in the active region. While one emission mode of the microlaser demonstrates a characteristic S-shaped input-output curve, the output intensity of the second mode saturates and even decreases with increasing injection current above threshold. Measuring the photon autocorrelation function g (2) (τ ) of the light emission confirms the onset of lasing in the first mode with g (2) (0) approaching unity above threshold. In contrast, strong photon bunching associated with superthermal values of g (2) (0) is detected for the other mode for currents above threshold. This behavior is attributed to gain competition of the two modes induced by the common gain material, which is confirmed by photon cross-correlation measurements revealing a clear anticorrelation between emission events of the two modes. The experimental studies are in qualitative agreement with theoretical studies based on a microscopic semiconductor theory, which we extend to the case of two modes interacting with the common gain medium. Moreover, we treat the problem by a phenomenological birth-death model extended to two interacting modes, which reveals that the photon probability distribution of each mode has a double-peak structure, indicating switching behavior of the modes for pump rates around threshold.
The dynamics of an initially excited two-level atom in a lossy cavity is
studied by using the quantum trajectory method. Unwanted losses are included,
such as photon absorption and scattering by the cavity mirrors and spontaneous
emission of the atom. Based on the obtained analytical solutions, it is shown
that the shape of the extracted spatiotemporal radiation mode sensitively
depends on the atom-field interaction. In the case of a short-term atom-field
interaction we show how different pulse shapes for the field extracted from the
cavity can be controlled by the interaction time
Within the framework of exact quantization of the electromagnetic field in dispersing and absorbing media the input-output problem of a high-Q cavity is studied, with special emphasis on the absorption losses in the coupling mirror. As expected, the cavity modes are found to obey quantum Langevin equations, which could be also obtained from quantum noise theories, by appropriately coupling the cavity modes to dissipative systems, including the effect of the mirror-assisted absorption losses. On the contrary, the operator input-output relations obtained in this way would be incomplete in general, as the exact calculation shows. On the basis of the operator input-output relations the problem of extracting the quantum state of an initially excited cavity mode is studied and input-output relations for the s-parametrized phase-space function are derived, with special emphasis on the relation between the Wigner functions of the quantum states of the outgoing field and the cavity field.
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