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Photonics

Modification of the Emission Spectrum of a Quantum Emitter in the Vicinity of Bismuth Chalcogenide Microparticles

Margarita-Georgia Papadaki, Nikolaos Kyvelos, Emmanuel Paspalakis, Vassilios Yannopapas

Published Jun 7, 2023• 1 citation
Publisher

Abstract

We examine theoretically the effect of bismuth chalcogenide microparticles on the spontaneous emission of a double-V-type quantum emitter in free space. We have found, in particular, that the presence of a single microparticle causes a high degree of quantum interference in the way the quantum emitter releases energy in the process of spontaneous emission. This, in turn, leads to significant changes in the spectrum of the emitted energy. The quantum emitter’s initial state is crucial to how the energy is released in the presence of the microparticle. This observation has potential implications for quantum computing, particularly for reading the state of atomic qubits. When two microparticles are present, the effect is more pronounced, particularly when the quantum emitter is located in the gap between the particles.

DOI
10.3390/photonics10060658

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We examine theoretically the effect of bismuth chalcogenide microparticles on the spontaneous emission of a double-V-type quantum emitter in free space. We have found, in particular, that the presence of a single microparticle causes a high degree of quantum interference in the way the quantum emitter releases energy in the process of spontaneous emission. This, in turn, leads to significant changes in the spectrum of the emitted energy. The quantum emitter’s initial state is crucial to how the energy is released in the presence of the microparticle. This observation has potential implications for quantum computing, particularly for reading the state of atomic qubits. When two microparticles are present, the effect is more pronounced, particularly when the quantum emitter is located in the gap between the particles.
We investigate the phenomenon of quantum interference in spontaneous emission for a three-level V-type quantum emitter placed between two bismuth-chalcogenide (Bi2Te3, Bi2Se3) microspheres. In particular, we find that the degree of quantum interference can become as high as 0.994, a value which is attributed to the strong dependence of the spontaneous emission rate on the orientation of an atomic dipole relative to the surfaces of the microspheres, at the excitation frequencies of phonon-polariton states of the bismuth-chalcogenide microspheres (anisotropic Purcell effect). As a consequence of the high degree of quantum interference, we observe the occurrence of strong population trapping in the quantum emitter. To the best of our knowledge, the reported values of the degree of quantum interference are record values and are obtained for a relatively simple geometrical setup such as that of a microparticle dimer.
In this work, we show that the quantum interference between two spontaneous emission channels can be greatly enhanced when a three-level V-type quantum emitter is placed near the bismuth chalcogenide ( B i 2 T e 3 ). Namely, we calculated the degree of quantum interference for quantum emitters placed in the vicinity of a planar surface of a B i 2 T e 3 slab, as well as near a B i 2 T e 3 microsphere. We found, in particular, that the degree of quantum interference assumes very high values, for both geometries, which is a result of the strong dependence of the spontaneous emission rate on the orientation of a quantum-emitter dipole relative to the B i 2 T e 3 surface, at the frequencies of polaritonic-type excitations. These particular high values of quantum interference can trigger a variety of phenomena associated with quantum interference of spontaneous-emission channels, such as lasing without inversion, coherent populations trapping, transparency, nonlinearities, and so forth.
We theoretically study the impact of bismuth-chalcogenide microparticles on the linear absorption and dispersion properties of a four-level double-V-type quantum system. The quantum system interacts with two circularly polarized laser fields of the same frequency but with different phases and electric field amplitudes. Our study indicates that the inclusion of bismuth-chalcogenide microparticles leads to notable alterations in the absorption and dispersion spectra corresponding to one of the probe laser fields (while both fields are present). These alterations are much more dramatic compared to those induced by common plasmonic materials. By manipulating the field amplitudes as well as the phase difference between the two incident waves, the optical properties of the system can be efficiently controlled. Our study also highlights several effects, including complete optical transparency, zero absorption with nonzero dispersion, and gain without inversion.
Quantum interferences in spontaneous emission from a double V-type four-level atom in a double-band photonic crystal have been investigated. The double V-type transitions from the two upper levels to the two lower levels can interact not only with modes near the edges of a double-band photonic band gap, but also with free vacuum modes. The resulting two types of quantum interferences give rise to not only dark lines, but also a narrow spontaneous line in the spectrum from the transition coupled to the free vacuum modes. The dark lines and narrow spontaneous line are shown to be dependent on the width of the forbidden gap, relative position of the upper levels from the band edges, coupling constants, and initial coherent superposition state of the system.
We study the quantum interference in spontaneous emission with the inclusion of counterrotating terms and energy shifts. The energy shifts come from the emission and then reabsorption of virtual photons as well as the real photon emission. We show that the quantum interference resulting from the energy shifts has significant influence on the effective decay rates of the two levels, even when the transition dipole elements are the same and the energy separation of the two levels is small. We also show that the energy shift has substantial influence on the spectrum emitted by the atom. The result is valid in the long time limit. The effect of the energy shift can be observed at the time scale of 1 over the atomic decay rate. We suggest an experiment to test the effect of quantum interference because of energy shifts on the emission spectrum.
The effect of a modified reservoir on the nature of the quantum interference in the spontaneous emission of a driven double V-type four-level atom has been investigated. In the model used, the double V-type transitions of a driven atom interact respectively with a free vacuum reservoir and a modified reservoir, leading to the two possible types of quantum interference. The results show that the construction or the destruction of interference in the free vacuum reservoir depends on the type of the modified reservoir and the absence or the presence of interference in the modified reservoir. More interesting, it is shown that based on the presence or the absence of interference in the modified reservoir, interference in the free vacuum reservoir can be constructive or destructive if the modified reservoir is of the type of the free vacuum reservoir. On the other hand, the interference in the free vacuum reservoir is constructive, regardless of the presence or the absence of interference in the modified reservoir, if the modified reservoir is of the type of the photonic band gap. This case, therefore, can be used to control effectively the spontaneous emission and absorption spectra.