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We apply the recently introduced Hubbard model approach to quantitatively describe the experimental charge stability diagram and tunnel coupling of silicon double quantum dot systems. The results calculated from both the generalized Hubbard…

Mesoscale and Nanoscale Physics · Physics 2011-06-13 S. Das Sarma , Xin Wang , Shuo Yang

As with any quantum computing platform, semiconductor quantum dot devices require sophisticated hardware and controls for operation. The increasing complexity of quantum dot devices necessitates the advancement of automated control software…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 A. R. Mills , M. M. Feldman , C. Monical , P. J. Lewis , K. W. Larson , A. M. Mounce , J. R. Petta

Semiconductor quantum dot arrays defined electrostatically in a 2D electron gas provide a scalable platform for quantum information processing and quantum simulations. For the operation of quantum dot arrays, appropriate voltages need to be…

Mesoscale and Nanoscale Physics · Physics 2018-09-03 C. J. van Diepen , P. T. Eendebak , B. T. Buijtendorp , U. Mukhopadhyay , T. Fujita , C. Reichl , W. Wegscheider , L. M. K. Vandersypen

Recent demonstrations using electron spins stored in quantum dots array as qubits are promising for developing a scalable quantum computing platform. An ongoing effort is therefore aiming at the precise control of the quantum dots…

Quasi-static transport measurements are employed on a laterally defined tunnel-coupled double quantum dot. A nearby quantum point contact allows us to track the charge as added to the device. If charged with only up to one electron, the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. K. Huettel , S. Ludwig , K. Eberl , J. P. Kotthaus

We predict large regions of the charge stability diagram using a multi-band and multi-electron configuration interaction model of a double quantum dot system. We account for many-body interactions within each quantum dot using full…

Mesoscale and Nanoscale Physics · Physics 2024-11-27 Nathan L. Foulk , Sankar Das Sarma

Gate-defined quantum dots (QDs) have appealing attributes as a quantum computing platform. However, near-term devices possess a range of possible imperfections that need to be accounted for during the tuning and operation of QD devices. One…

Mesoscale and Nanoscale Physics · Physics 2023-05-26 Joshua Ziegler , Florian Luthi , Mick Ramsey , Felix Borjans , Guoji Zheng , Justyna P. Zwolak

The long term scaling prospects for solid-state quantum computing architectures relies heavily on the ability to simply and reliably measure and control the coherent electron interaction strength, known as the tunnel coupling, $t_c$. Here,…

The interaction between electrons in arrays of electrostatically defined quantum dots is naturally described by a Fermi-Hubbard Hamiltonian. Moreover, the high degree of tunability of these systems make them a powerful platform to simulate…

Mesoscale and Nanoscale Physics · Physics 2018-05-10 Uditendu Mukhopadhyay , Juan Pablo Dehollain , Christian Reichl , Werner Wegscheider , Lieven M. K. Vandersypen

We present efficient methods to reliably characterize and tune gate-defined semiconductor spin qubits. Our methods are designed to target the tuning procedures of semiconductor double quantum dot in GaAs heterostructures, but can easily be…

We prepare a gate-defined quadruple quantum dot to study the gate-tunability of single to quadruple quantum dots with finite inter-dot tunnel couplings. The measured charging energies of various double dots suggest that the dot size is…

Mesoscale and Nanoscale Physics · Physics 2014-03-21 Tatsuki Takakura , Akito Noiri , Toshiaki Obata , Tomohiro Otsuka , Jun Yoneda , Katsuharu Yoshida , Seigo Tarucha

The experimental realization of Fermi-Hubbard tweezer arrays opens a new stage for engineering fermionic matter, where programmable lattice geometries and Hubbard model parameters are combined with single-site imaging. In order to use these…

Numerical studies are presented to assess error estimates for a separable (Hartree) approximation for dynamically evolving composite quantum systems which exhibit distinct scales defined by their mass and frequency ratios. The relevant…

In Si quantum dots, valley degree of freedom, in particular the generally small valley splitting and the dot-dependent valley-orbit phase, adds complexities to the low-energy electron dynamics and the associated spin qubit manipulation.…

Mesoscale and Nanoscale Physics · Physics 2022-06-29 Xinyu Zhao , Xuedong Hu

We analyze theoretically and experimentally the electronic structure and charging diagram of three coupled lateral quantum dots filled with electrons. Using the Hubbard model and real-space exact diagonalization techniques we show that the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Marek Korkusinski , Irene Puerto Gimenez , Pawel Hawrylak , Louis Gaudreau , Sergei A. Studenikin , Andrew S. Sachrajda

A two-dimensional arrangement of quantum dots with finite inter-dot tunnel coupling provides a promising platform for studying complicated spin correlations as well as for constructing large-scale quantum computers. Here, we fabricate a…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 A. Noiri , K. Kawasaki , T. Otsuka , T. Nakajima , J. Yoneda , S. Amaha , M. R. Delbecq , K. Takeda , G. Allison , A. Ludwig , A. D. Wieck , S. Tarucha

Extremely long coherence times, excellent single-qubit gate fidelities and two-qubit logic have been demonstrated with silicon metal-oxide-semiconductor spin qubits, making it one of the leading platforms for quantum information processing.…

Mesoscale and Nanoscale Physics · Physics 2020-01-14 H. G. J. Eenink , L. Petit , W. I. L. Lawrie , J. S. Clarke , L. M. K. Vandersypen , M. Veldhorst

We introduce a Hubbard model as the simple quantum generalization of the classical capacitance circuit model to study semiconductor quantum-dot spin qubits. We prove theoretically that our model is equivalent to the usual capacitance…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Shuo Yang , Xin Wang , S. Das Sarma

We study coupled semiconductor quantum dots theoretically through a generalized Hubbard approach, where intra- and inter-dot Coulomb Correlation, as well as tunneling effects are described on the basis of realistic electron wavefunctions.…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Massimo Rontani , F. Rossi , F. Manghi , E. Molinari

Defining quantum dots in semiconductor based heterostructures is an essential step in initializing solid-state qubits. With growing device complexity and increasing number of functional devices required for measurements, a manual approach…

Quantum Physics · Physics 2020-05-13 J. Darulová , S. J. Pauka , N. Wiebe , K. W. Chan , G. C. Gardener , M. J. Manfra , M. C. Cassidy , M. Troyer
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