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The pair correlation function of a strongly interacting one-dimensional quantum dot is evaluated analytically within the framework of the spin coherent Luttinger liquid model. The influence of electron interactions and temperature on the…

Mesoscale and Nanoscale Physics · Physics 2013-09-12 N. Traverso Ziani , F. Cavaliere , E. Mariani , M. Sassetti

We introduce a method for solving the problem of an externally controlled electron spin in a quantum dot interacting with host nuclei via the hyperfine interaction. Our method accounts for generalized (non-unitary) evolution effected by…

Mesoscale and Nanoscale Physics · Physics 2011-07-21 Edwin Barnes , Sophia E. Economou

The physics of quantum dots is succinctly depicted by the {\it Universal Hamiltonian}, where only zero mode interactions are included. In the case where the latter involve charging and isotropic spin-exchange terms, this would lead to a…

Mesoscale and Nanoscale Physics · Physics 2011-08-29 Boaz Nissan-Cohen , Yuval Gefen , Mikhail N. Kiselev , Igor V. Lerner

We present measurements on a quantum dot and a nearby, capacitively coupled, quantum point contact used as a charge detector. With the dot being weakly coupled to only a single reservoir, the transfer of individual electrons onto and off…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. Schleser , E. Ruh , T. Ihn , K. Ensslin , D. C. Driscoll , A. C. Gossard

We present a theory of non-equilibrium superconducting proximity effect in an interacting quantum dot induced by a time-dependent tunnel coupling between dot and a superconducting lead. The proximity effect, that is established when the…

Mesoscale and Nanoscale Physics · Physics 2012-03-30 Ali G. Moghaddam , Michele Governale , Jürgen König

The magnetization of quantum dots is discussed in terms of a relatively simple but exactly solvable model Hamiltonian. The model predicts oscillations in spin polarization as a function of dot radius for a fixed electron density. These…

Mesoscale and Nanoscale Physics · Physics 2007-10-11 A. Bansil , D. Nissenbaum , B. Barbiellini , R. Saniz

Scattering or tunneling of an electron at a potential barrier is a fundamental quantum effect. Electron-electron interactions often affect the scattering, and understanding of the interaction effect is crucial in detection of various…

Mesoscale and Nanoscale Physics · Physics 2022-11-10 Sungguen Ryu , H. -S. Sim

We perform a systematic exact diagonalization study of spin-orbit coupling effects for stationary few-electron states confined in quasi two-dimensional double quantum dots. We describe the spin-orbit-interaction induced coupling between…

Mesoscale and Nanoscale Physics · Physics 2010-06-17 M. P. Nowak , B. Szafran

We analyze the effects of electron-electron and electron-phonon interactions in the dynamics of a system of two or three electrons that can be trapped to a localized state and detrapped to ab extended band states of a quantum dot using a…

Mesoscale and Nanoscale Physics · Physics 2025-12-11 R. Carmina Monreal

We explore the structural changes in charge the density and the electron configuration of quantum dots caused by the presence of other dots in an array, and the interaction of neighboring dots. We discuss what recent measurements and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Vidar Gudmundsson , Andrei Manolescu , Roman Krahne , Detlef Heitmann

The spectral properties of up to four interacting electrons confined within a quasi one--dimensional system of finite length are determined by numerical diagonalization including the spin degree of freedom. The ground state energy is…

Condensed Matter · Physics 2009-10-22 Wolfgang Haeusler , Bernhard Kramer , PTB Braunschweig

The form of an effective electron-electron interaction in a quantum wire with a large static dielectric constant is determined and the resulting properties of the electron liquid in such a one-dimensional system are described. The exchange…

Strongly Correlated Electrons · Physics 2009-10-31 K. Byczuk , T. Dietl

We present a complete classification of the electron-electron interaction in chaotic quantum dots based on expansion in inverse powers of $1/M$, the number of the electron states in the Thouless window, $M \simeq k_F R$. This classification…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Victor Belinicher , Eran Ginossar , Shimon Levit

The non-linear response of a beam splitter to the coincident arrival of interacting particles enables numerous applications in quantum engineering and metrology yet poses considerable challenge to achieve focused interactions on the…

Entangling two quantum bits by letting them interact is the crucial requirements for building a quantum processor. For qubits based on the spin of the electron, these two-qubit gates are typically performed by exchange interaction of the…

Mesoscale and Nanoscale Physics · Physics 2015-12-07 Fabian Hassler , Gianluigi Catelani , Hendrik Bluhm

Recently, it has been demonstrated that the absorption of moderately doped two-dimensional semiconductors can be described in terms of exciton-polarons. In this scenario, attractive and repulsive polaron branches are formed due to…

Mesoscale and Nanoscale Physics · Physics 2021-02-17 Dmitry K. Efimkin , Emma K. Laird , Jesper Levinsen , Meera M. Parish , Allan H. MacDonald

Electron pairing is a rare phenomenon appearing only in a few unique physical systems; e.g., superconductors and Kondo-correlated quantum dots. Here, we report on an unexpected, but robust, electron "pairing" in the integer quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Hyungkook Choi , Itamar Sivan , Amir Rosenblatt , Moty Heiblum , Vladimir Umansky , Diana Mahalu

Conditions at which a quasi-one-dimensional (1D) electron system can be considered as a quantum liquid of impenetrable charged particles are theoretically analyzed. In the presence of an inert, neutralizing background, a motion of…

Superconductivity · Physics 2024-06-21 Yu. P. Monarkha

We consider the model of quantum dots interacting with coherent radiation when the relaxation processes may be neglected. The system under investigation consists of two discrete energy levels of the quantum dots in the presence of strong…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey Maimistov , Elena Kazantseva , Sergei Elyutin

We review our recent work addressing various theoretical issues in spin-based quantum dot quantum computation and quantum information processing. In particular, we summarize our calculation of electron exchange interaction in two-electron…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Xuedong Hu , S. Das Sarma
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