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Journal of Applied Physics

Adiabatically preparing quantum dot spin states in the Voigt geometry

Emmanuel Paspalakis, Sophia E. Economou, F. Carreño

Published Jan 10, 2019• 10 citations
Publisher

Abstract

We use mutually delayed and partially overlapping optical pulses, similar to those used in stimulated Raman adiabatic passage and its variations, for the coherent control of quantum dot spin states in the Voigt geometry. We consider the quantum dot system initially in an incoherent mixture of the two electron-spin states. We show that the application of regular delayed and partially overlapping pulses can lead to initialization. In addition, if initially delayed, partially overlapping, and simultaneously switched off pulses are applied, the initially incoherent mixture can be changed to a specifically designed coherent superposition state. We also find that due to the initial conditions of the studied quantum system, the proposed methods work for different pulse orderings.

DOI
10.1063/1.5079412

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We use mutually delayed and partially overlapping optical pulses, similar to those used in stimulated Raman adiabatic passage and its variations, for the coherent control of quantum dot spin states in the Voigt geometry. We consider the quantum dot system initially in an incoherent mixture of the two electron-spin states. We show that the application of regular delayed and partially overlapping pulses can lead to initialization. In addition, if initially delayed, partially overlapping, and simultaneously switched off pulses are applied, the initially incoherent mixture can be changed to a specifically designed coherent superposition state. We also find that due to the initial conditions of the studied quantum system, the proposed methods work for different pulse orderings.
A basic system with important potential applications in quantum technologies is a quantum dot in the Voigt geometry. The spin states of the quantum dot in the Voigt geometry can act as a prototype qubit which can be manipulated by applied optical fields in order to produce the necessary quantum gates. The basic method for spin initialization in a quantum dot in the Voigt geometry is optical pumping. Here, we propose and analyze a new method for the coherent preparation of the quantum dot spin states based on adiabatic control methods. Specifically, we show that the application of two mutually delayed and partially overlapping optical pulses, similar to those used in stimulated Raman adiabatic passage, can lead to initialization of one of the spin states with high fidelity. We also demonstrate that the fidelity of the method may be increased by integrating the quantum dot with a micropillar cavity. Specifically, we show that a preferential Purcell-enhanced decay rate towards the target spin state, in certain cases, increases the fidelity of spin initialization of the adiabatic method. Our results are based on the numerical solution of the relevant density matrix equations for the quantum dot system, either in an isotropic photonic environment or in a micropillar cavity. The calculations presented in this paper are not limited to quantum dots in micropillar cavities. Similar effects can be obtained by other photonic structures as well, as for example, for quantum dots in photonic crystal cavities.
Abstract In this work we study the potential for coherent manipulation of an asymmetric double quantum dot structure by the use of adiabatic methods. These methods are the Stimulated Raman Adiabatic Passage (STIRAP) and its modification the fractional STIRAP. We show that such a method can be used for complete electron transfer between the two lower states of the quantum dots. In addition, with fractional STIRAP a coherent superposition of the two lower states of the quantum dots can be created. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
We discuss the properties of a simple and robust scheme for preparing atoms and molecules in an arbitrary preselected coherent superposition of quantum states - fractional stimulated Raman adiabatic passage (fractional STIRAP) - first proposed by Marte et al (1991 Phys. Rev. A 44 R4118). As in STIRAP, the Stokes pulse arrives before the pump pulse, but unlike STIRAP, here the two pulses terminate simultaneously, while maintaining a constant ratio of amplitudes. We extend earlier research and suggest a realization of this scheme with two smoothly varying delayed laser pulses (which can be derived from a single laser), the parameters of the created superposition being controlled by the polarization of the delayed pulse. Furthermore, we provide simple analytic estimates of the robustness of this process against variations in the laser intensity, laser frequency and pulse delay. Finally, we discuss an extension to multistate systems which provides a possibility for creating coherent superpositions of more than two states.
We consider an adiabatic population transfer process that resembles the well-established stimulated Raman adiabatic passage. In our system, the states have nonzero angular momentums J , therefore, the coupling laser fields induce transitions between the magnetic sublevels of the states. In particular, we discuss the possibility of creating coherent superposition states in a system with coupling pattern J = 0 ⇔ 1 and 1 ⇔ 2. Initially, the system is in the J = 0 state. We show that by, applying two delayed overlapping laser pulses, it is possible to create any final superposition state of the magnetic sublevels |2, −2⟩, |2, 0⟩, |2, +2⟩. Moreover, we find that the relative phases of the applied pulses influence not only the phases of the final superposition state but also the probability amplitudes. We show that if we fix the shape and the time delay between the pulses, the final state space can be entirely covered by varying the polarizations and relative phases of the two pulses. Performing numerical simulations we find that our transfer process is nearly adiabatic for the whole parameter set.
We propose a scheme for creation and transfer of coherence among ground state and indirect exciton states of triple quantum dots via the technique of stimulated Raman adiabatic passage. Compared with the traditional stimulated Raman adiabatic passage, the Stokes laser pulse is replaced by the tunneling pulse, which can be controlled by the externally applied voltages. By varying the amplitudes and sequences of the pump and tunneling pulses, a complete coherence transfer or an equal coherence distribution among multiple states can be obtained. The investigations can provide further insight for the experimental development of controllable coherence transfer in semiconductor structure and may have potential applications in quantum information processing.