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Justification of tight-binding model from Schroedinger formalism for various topologies of position-based semiconductor qubits is presented in this work. Simplistic tight-binding model allows for description of single-electron devices at…

Mesoscale and Nanoscale Physics · Physics 2021-09-29 Krzysztof Pomorski

Generalized electrostatic quantum swap gate implemented in the chain of 2 double coupled quantum dots using single electron in semiconductor is presented in tight-binding simplistic model specifying both analytic and numerical results. The…

Quantum Physics · Physics 2020-01-29 Krzysztof Pomorski

In this study, a formal definition, robustness analysis and discussion on the control of a position-based semiconductor charge qubit are presented. Such a qubit can be realized in a chain of coupled quantum dots, forming a register of…

Mesoscale and Nanoscale Physics · Physics 2019-12-30 Elena Blokhina , Panagiotis Giounanlis , Andrew Mitchell , Dirk Leipold , Robert Bogdan Staszewski

Analytical solutions for a tight-binding model are presented for a position-based qubit and N interacting qubits realized by quasi-one-dimensional network of coupled quantum dots expressed by connected or disconnected graphs of any topology…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Krzysztof Pomorski , Robert Bogdan Staszewski

Quantum embedding theories are promising approaches to investigate strongly-correlated electronic states of active regions of large-scale molecular or condensed systems. Notable examples are spin defects in semiconductors and insulators. We…

Materials Science · Physics 2021-12-14 He Ma , Nan Sheng , Marco Govoni , Giulia Galli

Interacting fermions on a lattice can develop strong quantum correlations, which lie at the heart of the classical intractability of many exotic phases of matter. Seminal efforts are underway in the control of artificial quantum systems,…

Mesoscale and Nanoscale Physics · Physics 2017-08-16 T. Hensgens , T. Fujita , L. Janssen , Xiao Li , C. J. Van Diepen , C. Reichl , W. Wegscheider , S. Das Sarma , L. M. K. Vandersypen

Analytical solutions describing quantum swap and Hadamard gate are given with the use of tight-binding approximation. Decoherence effects are described analytically for two interacting electrons confined by local potentials with use of…

Quantum Physics · Physics 2019-12-04 Krzysztof Pomorski

We consider an electrostatically induced square lattice of quantum dots and study the role of electron-electron correlations in the resulting electronic features of the system. We utilize the Wannier functions methodology in order to…

Strongly Correlated Electrons · Physics 2022-01-11 A. Biborski , M. P. Nowak , M. Zegrodnik

We describe an electrodynamic mechanism for coherent, quantum mechanical coupling between spacially separated quantum dots on a microchip. The technique is based on capacitive interactions between the electron charge and a superconducting…

Quantum Physics · Physics 2009-11-10 L. I. Childress , A. S. Sorensen , M. D. Lukin

In the limit of low particle density, electrons confined to a quantum dot form strongly correlated states termed Wigner molecules, in which the Coulomb interaction causes the electrons to become highly localized in space. By using an…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. E. Creffield , G. Platero

We derive the effective one-dimensional Schrodinger-Pauli equation for electrons constrained to move on a space curve. The electrons are confined using a double thin-wall quantization procedure with adiabatic separation of fast and slow…

Mesoscale and Nanoscale Physics · Physics 2018-09-27 Carmine Ortix

We propose an all-electrically controlled nanodevice - a gated semiconductor nanowire - capable of generating a coherent state of a single electron trapped in a harmonic oscillator or superposition of such coherent states - the…

Quantum Physics · Physics 2016-10-12 J. Pawłowski , P. Szumniak , S. Bednarek

Spin properties of two interacting electrons in a quantum dot (QD) embedded in a nanowire with controlled aspect ratio and longitudinal magnetic fields are investigated by using a configuration interaction (CI) method and exact…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Yan-Ting Chen , Shun-Jen Cheng , Chi-Shung Tang

We investigate the dynamics of interacting electrons confined to two types of quantum dot system, when driven by an external AC field. We first consider a system of two electrons confined to a pair of coupled quantum dots by using an…

Mesoscale and Nanoscale Physics · Physics 2018-03-21 C. E. Creffield , G. Platero

Non-local communication among position based qubits is described for the system of the quantum electromagnetic resonator entangled to two semiconductor electrostatic qubits via interaction between matter and radiation by Jaynes-Cummings…

Quantum Physics · Physics 2020-07-15 Krzysztof Pomorski , Robert Bogdan Staszewski

We present a generalized electrostatic SWAP gate realized in a chain of two double quantum dots operated in the single-electron regime. Using a minimalist tight-binding model, we derive analytical results and corroborate them with numerical…

Mesoscale and Nanoscale Physics · Physics 2025-10-08 Krzysztof Pomorski , Eryk Halubek

As basic elements of the quantum computer - quantum bits (qubits) we offer semiconductor quantum dots containing one electron each and consisting each of two tunnel-connected parts. The numerical solution of a Schroedinger equation with the…

Quantum Physics · Physics 2007-05-23 L. Fedichkin , M. Yanchenko , K. A. Valiev

We develop a strong coupling approach towards quantum magnetism in Mott insulators for Wannier obstructed bands. Despite the lack of Wannier orbitals, electrons can still singly occupy a set of exponentially-localized but nonorthogonal…

Strongly Correlated Electrons · Physics 2025-12-03 Xiao-Yang Huang , Taige Wang , Shang Liu , Hong-Ye Hu , Yi-Zhuang You

High-dimensional quantum systems are a valuable resource for quantum information processing. They can be used to encode error-correctable logical qubits, which has been demonstrated using continuous-variable states in microwave cavities or…

Predicting the fate of an interacting system in the limit where the electronic bandwidth is quenched is often highly non-trivial. The complex interplay between interactions and quantum fluctuations driven by the band geometry can drive…

Strongly Correlated Electrons · Physics 2023-06-02 Johannes S. Hofmann , Erez Berg , Debanjan Chowdhury
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