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We start from microscopic approach to many body physics and show the analytical steps and approximations required to arrive at the concept of quantum capacitance. These approximations are valid only in the semi-classical limit and the…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Sreemoyee Mukherjee , M. Manninen , P. Singha Deo

We calculate the quantum states corresponding to the drifting and channeled classical orbits in a two-dimensional electron gas (2DEG) with strong magnetic and electric modulations along one spatial direction, $x$. The channeled states carry…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Manolescu , S. D. M. Zwerschke , M. Nita , U. J. Gossmann , R. R. Gerhardts

We propose a new structure suitable for quantum computing in a solid state environment: designed defect states in antidot lattices superimposed on a two-dimensional electron gas at a semiconductor heterostructure. State manipulation can be…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christian Flindt , Niels Asger Mortensen , Antti-Pekka Jauho

The light reflectance and absorbance are calculated for a quantum well (QW) the width of which is comparable with the light wave length. The difference of the refraction coefficients of the quantum well and barriers is taken into account.…

Mesoscale and Nanoscale Physics · Physics 2010-02-10 I. G. Lang , S. T. Pavlov

We report measurements of the compressibility of a one-dimensional (1D) quantum wire, defined in the upper well of a GaAs/AlGaAs double quantum well heterostructure. A wire defined simultaneously in the lower well probes the ability of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 L. W. Smith , A. R. Hamilton , K. J. Thomas , M. Pepper , I. Farrer , J. P. Griffiths , G. A. C. Jones , D. A. Ritchie

A fully optical method to perform any quantum computation with optical waveguide modes is proposed by supplying the prescriptions for a universal set of quantum gates. The proposal for quantum computation is based on implementing a quantum…

Quantum Physics · Physics 2009-11-07 Jian Fu

A variational calculus method is applied for hydrogen-like impurities states and exciton states in AlGaAs/GaAs quantum wells within the effective masses approach. The hamiltonian is separated into radial and transversal parts to be…

Materials Science · Physics 2014-02-21 A. Gubanov , G. F. Glinskii

Quantum computers are capable of calculating the energy gap of two electronic states by using the quantum phase difference estimation (QPDE) algorithm. The Bayesian inference based implementations for the QPDE have been reported so far, but…

Quantum Physics · Physics 2023-11-30 Kenji Sugisaki

An application of impedance measurement technique (IMT) for a detection of quantum tunneling in molecular structures is investigated. A charged particle which tunnels in a two-well potential is electrically coupled to a high-quality…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Anatoly Yu. Smirnov

In this paper we study the differential capacitance of a single-level quantum dot attached to quantum wires in the Luttinger liquid phase, or to fractional quantum Hall edges, by both tunneling and interactions. We show that logarithmic or…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Moshe Goldstein , Richard Berkovits

In this paper, based on the heat kernel technique, we calculate equations of state and thermodynamic quantities for ideal quantum gases in confined space with external potential. Concretely, we provide expressions for equations of state and…

Quantum Gases · Physics 2020-05-20 Ping Zhang , Tong Liu

This article discusses a p-adic version of the infinite potential well in quantum mechanics (QM). This model describes the confinement of a particle in a p-adic ball. We rigorously solve the Cauchy problem for the Schr\"odinger equation and…

Quantum Physics · Physics 2024-12-16 W. A. Zúñiga-Galindo , Nathaniel P. Mayes

An analytical perturbative method is suggested for solving the Helmholtz equation (\bigtriangledown^{2} + k^{2}){\psi} = 0 in two dimensions where {\psi} vanishes on an irregular closed curve. We can thus find the energy levels of a quantum…

Mathematical Physics · Physics 2015-05-13 S. Chakraborty , J. K. Bhattacharjee , S. P. Khastgir

We employ a magnetocapacitance technique to study the spectrum of the soft two-subband (or double-layer) electron system in a parabolic quantum well with a narrow tunnel barrier in the centre. In this system unbalanced by gate depletion, at…

Topological insulator quantum wells with induced attractive interactions between electrons are candidate systems for the realization of novel vortex lattice states with time-reversal symmetry, and incompressible quantum vortex liquids with…

Strongly Correlated Electrons · Physics 2013-08-22 Predrag Nikolic , Zlatko Tesanovic

We formulate the structure of spectral invariance in shape invariance single and double well potentials using derivative invariance.

Quantum Physics · Physics 2024-09-11 Biswanath Rath

Quantum-mechanical PT-symmetric theories associated with complex cubic potentials such as V=x^2+y^2+igxy^2 and V=x^2+y^2+z^2+igxyz, where g is a real parameter, are investigated. These theories appear to possess real, positive spectra.…

Quantum Physics · Physics 2009-11-07 Carl M. Bender , Gerald V. Dunne , Peter N. Meisinger , Mehmet Simsek

We have studied the electrical conductivity of the electron gas in parallel electric and magnetic fields directed along the plane of a parabolic quantum well (across the profile of the potential). We found a general expression for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 F. M. Hashimzade , Kh. A. Hasanov , M. M. Babayev

Ge/Si structures with vertically stacked quantum dots are simulated to implement the basic elements of a quantum computer for operation with electron spin states. Elastic-strain fields are simulated using the conjugate gradient method and…

Mesoscale and Nanoscale Physics · Physics 2016-01-05 Yu. N. Morokov , M. P. Fedoruk , A. V. Dvurechenskii , A. F. Zinov'eva , A. V. Nenashev

We investigate the impact of quantum well (QW) thickness on efficiency loss in c-plane InGaN/GaN LEDs using a small-signal electroluminescence (SSEL) technique. Multiple mechanisms related to efficiency loss are independently examined,…

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