Head:N.N.


Heads:
Markus Kantner, Thomas Koprucki

Coworkers:
Lasse Ermoneit, Lutz Mertenskötter, Abel Thayil

Associated Members:
Uwe Bandelow, Patricio Farrell, Jürgen Fuhrmann, Mindaugas Radziunas, Burkhard Schmidt

Former Members:
Oliver Marquardt




The focus platform SemQuTech is part of the research groups Partial Differential Equations and Laser Dynamics. It contributes to the main application area Nano- and Optoelectronics in a joint activity with the research group Numerical Mathematics and Scientific Computing and the Leibniz-Group Numerical Methods for Innovative Semiconductor Devices.

Overview

The currently unfolding "second quantum revolution" aims at bringing semiconductor quantum technologies from the lab to real world applications. For the design of components for novel quantum sensors and quantum computing devices, new device-scale simulation approaches are required that go beyond traditional TCAD (technology computer-aided design) tools. Our goal is to combine theory of open quantum systems and modeling approaches from electrical engineering with methods from applied mathematics and to bring them into practice in collaboration with application partners. A particular focus in modeling is on the accurate treatment of noise and random fluctuations, as these stochastic influences often determine the fundamental limitations for quantum devices.



Simulation of Hardware Components of Semiconductor Quantum Computers

Spin-qubits in semiconductor quantum dots (QDs) are major candidates for the realization of universal quantum computers. Ongoing advances in the growth of isotopically purified 28Si/SiGe heterostructures have enabled exceptionally long coherence times. The compatibility with industry standard fabrication technology opens up excellent prospects for scaling up silicon-based semiconductor quantum processors to very large numbers of qubits. Recently, small-scale Si/SiGe QD-based quantum processors have been demonstrated, which execute one- and two-qubit logic gates as well as initialization and read-out operations with high fidelity using all-electrical control. Latest concepts for scalable architectures envision 2D qubit arrays interconnected by coherent quantum links to distribute entanglement over longer distances and to provide sufficient space for QD wiring and (classical) on-chip control electronics. We aim at modeling and simulation of a Si/SiGe quantum bus for coherent qubit shuttling in realistic, multi-dimensional device geometries. Moreover, we seek to develop optimal control protocols for qubit shuttling in the presence of material and fabrication imperfections.

Software packages: PDElib.jl, Wave Packet, TetGen, SPHInX

Collaborations: RWTH Aachen Universty, JARA-FIT Quantum Information, Leibniz Institute for Crystal Growth (IKZ) Berlin, TU Berlin, TU Munich

Electrostatic confinement potential landscape for quantum dots in a SiGe quantum bus.


Stochastic Modeling of Narrow-Linewidth Semiconductor Lasers

Narrow-linewidth lasers are core elements of coherent communication systems, optical atomic clocks, matter-wave interferometers, ion-trap quantum computers and gravitational wave detectors. The spectral width of the emitted laser light is essentially determined by its frequency noise power spectral density (FN-PSD), that is influenced by numerous stochastic processes. The standard (Markovian) laser linewidth theory is restricted to Gaussian white noise (in particular spontaneous emission of photons into the laser mode), which predicts a spectrally flat FN-PSD that is associated with a Lorentzian lineshape and the so-called intrinsic linewidth. A more realistic description of ultra-narrow linewidth lasers, however, requires the inclusion of additional non-Markovian noise (1/f-type flicker noise) components to match the experimental observations. These colored noise processes lead to significant line broadening, but their modeling from first principles (i.e., quantum Langevin equations) is hardly accessible. We strive for a data-driven modeling approach to reconstruct a non-Markovian stochastic semiconductor laser model from experimental time series using data assimilation techniques. Based on improved stochastic models for semiconductor lasers, we aim to support the development of optimized diode lasers. Thereby, in addition to the spectral linewidth (high frequency stability), further key characteristics such as the wavelength tunability shall be improved.

Software packages: LDSL-Tool, ddfermi

Collaborations: Ferdinand-Braun-Institute Berlin, TU Berlin

The frequency noise power spectral density (FN-PSD) characterizes the spectral laser linewidth. In multi-section lasers, the latter depends on several design parameters.


Hybrid Quantum-Classical Modeling of Quantum-Light-Emitting Diodes

Quantum light sources are key elements of future secure communication networks and optical quantum computers, where single photons and entangled photon pairs are used as optical qubits for quantum information processing tasks. Semiconductor quantum dots have been identified as ideal optically active elements for such devices, as they are compatible with existing semiconductor technology and can be directly integrated into photonic resonators by standard manufacturing techniques. This allows to precisely tailor the electro-optical environment of the quantum dots in order to control the interaction of matter with light. In the interest of compactness and scalability, electrically driven devices are highly desirable for practical applications. On the step from basic research to a mature technology, device engineers will need new simulation tools, which combine classical device physics with cavity quantum electrodynamics. We develop novel hybrid quantum-classical modeling approaches, that self-consistently couple quantum master equations (open quantum systems) with macroscopic carrier transport equations. Our approach enables a comprehensive device-scale simulation of quantum light-emitting diodes, ranging from a spatially resolved description of carrier injection to a characterization of non-classical photon statistics.

Software packages: ddfermi

Collaborations: TU Berlin, Zuse Institute Berlin

Simulation of current spreading in a quantum dot based single-photon emitting diode.

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Projects in the Cluster of Excellence MATH+

Research & Development Projects

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