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Physical Review A

Cavity QED photons for generating a double-cavity-induced transparency

Moteb M. Alqahtani

Published Feb 23, 2024• 7 citations
Publisher

Abstract

A method is presented for creating single- and double-cavity-induced transparency based on a cavity QED framework. Using this method we develop a fully quantized model of a cavity-induced transparency (CIT) scheme previously proposed [P. R. Rice and R. J. Brecha, Opt. Commun. 126, 230 (1996)] adopting the quantum-jump approach. This allows us to analyze the interaction of $N$ cavity fields with an $(N+1)$-level quantum system where $N=2,3$ for the cases of single- and double-cavity-induced transparency, respectively. In the steady-state limit, a general analytic expression for the linear susceptibility of a weak cavity field is obtained and $N\ensuremath{-}1$ transparency windows are observed. In the model we consider, no external fields are required to induce the transparency and the CIT effect is fully generated by cavity QED photons. We also compare the numerical integration of density-matrix equations with the analytical solutions provided by the quantum-jump approach and show that both results are in excellent agreement.

DOI
10.1103/physreva.109.023719

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A method is presented for creating single- and double-cavity-induced transparency based on a cavity QED framework. Using this method we develop a fully quantized model of a cavity-induced transparency (CIT) scheme previously proposed [P. R. Rice and R. J. Brecha, Opt. Commun. 126, 230 (1996)] adopting the quantum-jump approach. This allows us to analyze the interaction of NNN cavity fields with an (N+1)(N+1)(N+1)-level quantum system where N=2,3N=2,3N=2,3 for the cases of single- and double-cavity-induced transparency, respectively. In the steady-state limit, a general analytic expression for the linear susceptibility of a weak cavity field is obtained and N\ensuremath−1N\ensuremath{-}1N\ensuremath−1 transparency windows are observed. In the model we consider, no external fields are required to induce the transparency and the CIT effect is fully generated by cavity QED photons. We also compare the numerical integration of density-matrix equations with the analytical solutions provided by the quantum-jump approach and show that both results are in excellent agreement.
We show that a fully quantum-mechanical model consisting of a four-level atom with Y-type atomic structure inside a three-mode cavity can exhibit double cavity induced transparency (CIT). In this model, it is cavity photons that induce the transparency, and there is no need to use external classical fields. As this double-CIT model involves several atomic levels, we adapt the wavefunction approach as a quantum-jump description of dissipation to derive an analytical expression for the steady-state linear susceptibility of a weak cavity field. We then use this analytical expression to investigate the dependence of the CIT transparency windows on the detuning of the coupling fields, intensities of the cavity fields and the cavity linewidths. We also have tested the analytical results by numerically integrating the full set of optical Bloch equations for the atomic density-matrix elements.
The linear driving for a single-mode optical field in a cavity can result from the external driving of a classical field even when the coupling between the classical field and the cavity is weak. We revisit this well-known effect with a microscopic model where a classical field is applied to a wall of the cavity to excite the atoms in the wall, and recombination of the low excitations of the wall mediates a linear driving for the single-mode field inside the cavity. With such modeling about the indirect driving through the quantum excitations of the wall, we theoretically predict several nonlinear optical effects for the strong-coupling cases, such as photon antibunching and photon squeezing. We propose a greatly simplified nonlinear quantum photonics model.
Semi-quantum or full-quantum electromagnetically induced transparency has been fully studied for three-level atoms in a weak field approximation method, where probe field is very wea ker than the coupling field. The weak field approximation is no t valid in full-quantum model where the number of coupling photons is not so large. In the present article, the master equations for the interaction of two-mode photons with a three-level Λ -type atom are exactly solved and the exact dispersion and absorption spectra for the probe beam photons are also obtained analytically. The results of the exact scheme are compared with the corresponding results in the weak field approximation method in full-quantum and semi-classi cal models.
We theoretically investigate the coherent manipulation of biphoton generation via spontaneous four-wave mixing in a cavity-QED system with a single atom. The atom is driven by pumping, coupling, and driving fields, and the generation of the Stokes and anti-Stokes photons are enhanced by two cavities. By solving the master equation in the steady state, we analyze the spectral brightness, as well as the degree of the auto-correlation and cross-correlation. Our results show that when the pumping and driving fields are in two-photon resonance, the dark state established between the ground and Rydberg states. efficiently enhances the controllability of the driving field over the biphoton generation and the quantum statistics. In contrast, under large two-photon detuning, the control capability of the driving field is significantly reduced. The coupling field, which directly relates to the electromagnetically induced transparency, modifies the linewidth of the biphoton, while the atom-cavity coupling strength only changes the brightness without affecting the linewidth.
A potential scheme is proposed to generate complete sets of entangled photons in the context of cavity quantum electrodynamics (QED). The scheme includes twice interactions of atoms with cavities, in which the first interaction is made in two-mode optical cavities and the second one exists in a microwave cavity. In the optical cavities the atoms are resonant with the cavity modes, while the detuned interaction of the atoms with a single-mode of the microwave cavity is driven by a classical field. We show that our scheme is carried out with higher efficiency than previeous schemes, and is close to the reach of current technique.
We propose and analyze an efficient scheme for suppressing the absorption of a weak probe field based on intersubband transitions in a four-level asymmetric coupled-quantum well (CQW) driven coherently by a probe laser field and a control laser field. By using the numerical simulation, we find that the magnitude of the transient absorption of the probe field is smaller than the three-level system based on the electromagnetically induced transparency (EIT) at line center of the probe transition, moreover, comparing with the scheme in three-level asymmetric double QW system, the transparency hole of the present work is much broader. By analyzing the steady-state process analytically and numerically, our results show that the probe absorption can be completely eliminated under the condition of Raman resonance (i.e. two-photon detuning is zero). Besides, we can observe one transparency window without requiring one- or two-photon detuning exactly vanish. This investigation may provide the possible scheme for EIT in solids by using CQW.