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Journal of Physics B Atomic Molecular and Optical Physics

Modeling the level structure of a double quantum dot in the two-electron regime

Mostafa Karami, Alireza Javdani, Khadijeh Karami

Published Jan 3, 2019• 1 citation
Publisher

Abstract

Abstract We investigate a new type of multiphoton resonance in a four-level quantum system, where two of its levels are coupled strongly with two symmetric driving fields. Near the resonance condition where transitions occur, the different behaviors of the number of even and odd photons, n , is found to be consistent with experimental observations. By making all levels time-dependent, we compute the transition rates with resonant features. We explain this phenomenon in terms of groups of certain interfering trajectories of the multilevel systems, so that the behavior is insensitive to fluctuations of the energy of the driven levels, and survives deeply into the strong dephasing regime. Multiphoton resonances occur for the first time at the third order and for the second time at the fourth order of couplings and likewise for other higher orders. This study can be related to a variety of nanoscale solid state, atomic or molecular systems. An effective mechanism to explain previously implemented experiments in strongly driven double quantum dots is presented.

DOI
10.1088/1361-6455/aaf4cf

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Abstract We investigate a new type of multiphoton resonance in a four-level quantum system, where two of its levels are coupled strongly with two symmetric driving fields. Near the resonance condition where transitions occur, the different behaviors of the number of even and odd photons, n , is found to be consistent with experimental observations. By making all levels time-dependent, we compute the transition rates with resonant features. We explain this phenomenon in terms of groups of certain interfering trajectories of the multilevel systems, so that the behavior is insensitive to fluctuations of the energy of the driven levels, and survives deeply into the strong dephasing regime. Multiphoton resonances occur for the first time at the third order and for the second time at the fourth order of couplings and likewise for other higher orders. This study can be related to a variety of nanoscale solid state, atomic or molecular systems. An effective mechanism to explain previously implemented experiments in strongly driven double quantum dots is presented.
In this paper, we study a new kind of multiphoton resonances in a strongly driven six-level quantum system, where one of its levels is coupled individually with the other two levels that have the constant energy separation E. Near the multiphoton resonance condition, a different behavior for the number of even or odd photons was found qualitatively, which could be explained by considering two certain interfering trajectories and computing the interference phase of system. In the regime of strong dephasing, we calculated the rates of interlevel transitions, showing that multilevel Landau-Zener (LZ) interferences between first and third order processes could lead to resonances with characteristics differing markedly from those of familiar two-level resonances that first arose at the fourth order in the couplings of the energy levels. The rates displayed resonant features at the number of integer photons. Finally, we could explicitly connect our model to the experiments, showing that it captured all relevant features of the experimental data. This paper can be relevant for a variety of solid state and atomic or molecular systems. In particular, it provides a clear mechanism to explain the puzzling experimental observations in strongly driven double quantum dots.
We study multiphoton resonances in a strongly driven three-level quantum system, where one level is periodically swept through a pair of levels with constant energy separation E. Near the multiphoton resonance condition nℏω=E, where n is an integer, we find qualitatively different behavior for n even or odd. We explain this phenomenon in terms of families of interfering trajectories of the multilevel system. Remarkably, the behavior is insensitive to fluctuations of the energy of the driven level, and survives deep into the strong dephasing regime. The setup can be relevant for a variety of solid state and atomic or molecular systems. In particular, it provides a clear mechanism to explain recent puzzling experimental observations in strongly driven double quantum dots.
The quantum dynamics of a double quantum dot two-level system, coupled to a leaking microwave resonator mode, is theoretically investigated. The double quantum dot is driven by applying a continuous field giving rise to time-dependent modulations of its energy separation between the ground levels of each dot, forming the qubit. Therefore, the cavity resonances occur when the difference between the resonator and the qubit frequencies equals the multiple of the modulation frequency, respectively. In the strong Coulomb interaction limit and the weak couplings of the combined system, i.e. the qubit and the single-mode cavity, to corresponding electronic, phononic or photonic reservoirs, we have demonstrated that the output cavity electromagnetic field is formed of a single-photon flux obeying the sub-Poissonian quantum photon statistics. This was proved via Fano's factor behaviour or by comparing the resonator's second- and third-order photon correlation functions, respectively. The phonon, the cavity mode dephasing or the environmental temperatures influence on the quantum properties of the photons are also discussed.
We study the time-resolved fluorescence spectrum in two-level systems interacting with an incident coherent field, both in the weak and intermediate coupling regimes. For a single two-level system in the intermediate-coupling case, as time flows, the spectrum develops distinct features that are not captured by a semiclassical treatment of the incident field. Specifically, for a field on resonance with the atomic transition energy, the usual Mollow spectrum is replaced by a four-peak structure, and for a frequency that is half of the atomic transition energy, the time-dependent spectrum develops a second-harmonic peak with a superimposed Mollow triplet. In the long-time limit, our description recovers results previously found in the literature. After analyzing why a different behavior is observed in the quantum and classical dynamics, the reason for the occurrence of a second-harmonic signal in a two-level system is explained via a symmetry analysis of the total (electron and photon) system and in terms of a three-level system operating in limiting regimes. We find an increased second-harmonic signal in an array of two-level systems, suggesting a superradiance-like enhancement for multiple two-level systems in cavity setups. Finally, initial explorative results are presented for two-level model atoms entering and exiting a cavity, which hint at an interesting interplay between cavity-photon screening and atomic dynamics effects.
We consider joint effects of tunneling and spin-orbit coupling on driven by electric field spin dynamics in a double quantum dot with a multilevel resonance scenario. We demonstrate that tunneling plays the crucial role in the formation of the Rabi-like spin-flip transitions. In contrast to the linear behavior for weak electric fields, the spin-flip rate becomes much smaller than expected for the two-level model and shows oscillating dependence on the driving field amplitude in stronger fields. In addition, the full spin flip is very difficult to achieve in a multilevel resonant system. These two effects have a similarity with the Zeno effect of slowing down the dynamics of an observable by its measurement. As a result, spin manipulation by electric field becomes much less efficient than expected.