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Nonlinearity parameter tomography leads to the problem of identifying a coefficient in a nonlinear wave equation (such as the Westervelt equation) modeling ultrasound propagation. In this paper we transfer this into frequency domain, where…

Numerical Analysis · Mathematics 2023-03-31 Barbara Kaltenbacher , William Rundell

The persistent current and charge stiffness of a one-dimensional Luttinger liquid on a ring threaded by a magnetic flux are calculated by Monte Carlo simulation. By changing the random impurity potential strength and the electron-electron…

Condensed Matter · Physics 2009-10-22 Hiroyuki Mori

We solve the problem of electron scattering at a potential temporal step discontinuity. We show that the Schrodinger equation cannot account for scattering in this problem, necessitating resort to the Dirac equation, and that breaking gauge…

Quantum Physics · Physics 2024-03-12 Furkan Ok , Amir Bahrami , Christophe Caloz

The 2-dimensional density of states of an electron is studied for a Poissonian random distribution of point vortices carrying $\alpha$ flux in unit of the quantum of flux. It is shown that, for any given density of impurities, there is a…

Condensed Matter · Physics 2009-10-28 Jean Desbois , Cyril Furtlehner , Stéphane Ouvry

We solve a Schrodinger equation for inelastic quantum transport that retains full quantum coherence, in contrast to previous rate or Boltzmann equation approaches. The model Hamiltonian is the zero temperature 1d Holstein model for an…

Strongly Correlated Electrons · Physics 2009-10-30 Janez Bonca , S. A. Trugman

We study an Anderson impurity embedded in a d-wave superconductor carrying a supercurrent. The low-energy impurity behavior is investigated by using the numerical renormalization group method developed for arbitrary electronic bath spectra.…

Strongly Correlated Electrons · Physics 2013-05-30 Hua Chen , Yezheng Wu , Shuxiang Yang , Jianhui Dai , Jian-Xin Zhu

In this paper, we revisit the lattice vibration of one-dimensional monatomic linear chain under open and periodic boundary conditions, and give the exact conditions for the emergence of the local vibration mode when one of the atoms is…

Mesoscale and Nanoscale Physics · Physics 2016-09-22 Qiang Luo

In order to elucidate the correlated motion of atomic electrons, we investigate the attosecond-scale dynamics of their entanglement arising due to nonsequential ionization driven by a strong, linearly-polarized laser field. The calculation…

Atomic Physics · Physics 2024-03-18 Daniel Younis , Songbo Xie , Joseph H. Eberly

A method for characterising the wave-function of freely-propagating particles would provide a useful tool for developing quantum-information technologies with single electronic excitations. Previous continuous-variable quantum tomography…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 J. D. Fletcher , N. Johnson , E. Locane , P. See , J. P. Griffiths , I. Farrer , D. A. Ritchie , P. W. Brouwer , V. Kashcheyevs , M. Kataoka

A simple real-space model for the electron wavefunction is suggested, based on a transverse wave with helicity, rotating at mc^2/h. The mapping of the real two-dimensional vector phasor to the complex plane permits this to satisfy the…

Quantum Physics · Physics 2007-05-23 Alan M. Kadin

The Einstein-Podolsky-Rosen nonlocality puzzle has been recognized as one of the most important unresolved issues in the foundational aspects of quantum mechanics. We show that the problem is resolved if the quantum correlations are…

Quantum Physics · Physics 2009-11-06 C. S. Unnikrishnan

At present, there are many methods of quantum entanglement of particles with an electromagnetic field. Most methods have a low probability of quantum entanglement and not an exact theoretical apparatus based on an approximate solution of…

Quantum Physics · Physics 2017-09-15 Dmitry Makarov

The electronic structure near a single classical magnetic impurity in a superconductor is determined using a fully self-consistent Koster-Slater algorithm. Localized excited states are found within the energy gap which are half electron and…

Condensed Matter · Physics 2009-10-28 Michael E. Flatte' , Jeff M. Byers

We have studied the single-electron transport spectrum of a quantum dot in GaAs/AlGaAs resonant tunneling device. The measured spectrum has irregularities indicating a broken circular symmetry. We model the system with an external potential…

Strongly Correlated Electrons · Physics 2009-11-10 E. Rasanen , J. Konemann , R. J. Haug , M. J. Puska , R. M. Nieminen

Theoretical approaches to one-dimensional and quasi-one-dimensional quantum rings with a few electrons are reviewed. Discrete Hubbard-type models and continuum models are shown to give similar results governed by the special features of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Viefers , P. Koskinen , P. Singha Deo , M. Manninen

We characterize both entanglement and quantum coherence in a molecular system by connecting the linear entropy of electronic-nuclear entanglement with Wigner-Yanase skew information measuring vibronic coherence and local quantum uncertainty…

Quantum Physics · Physics 2018-11-21 Mihaela Vatasescu

A system of a two-level atom of an impurity (qubit) inserted into a periodic chain coupled to the continuum is studied with the use of the effective non-Hermitian Hamiltonian. Exact solutions are derived for the quasistationary eigenstates,…

Mesoscale and Nanoscale Physics · Physics 2013-09-13 Ya. S. Greenberg , C. Merrigan , A. Tayebi , V. Zelevinsky

We study the bound states of a three-dimensional Holstein polaron near various kinds of single impurities, using the momentum average approximation. We show that the electron-phonon coupling is responsible for a strong renormalization of…

Strongly Correlated Electrons · Physics 2012-04-12 Hadi Ebrahimnejad , Mona Berciu

A method is proposed to find the wave function of an electron moving infinitely in the field of an arbitrary 1D layer structure with two different homogeneous semi-infinite boundaries. It is shown that in general the problem reduces to…

Quantum Physics · Physics 2009-11-10 A. Zh. Khachatrian

We consider the problem of electron transport across a quasi-one-dimensional disordered multiply-scattering medium, and study the statistical properties of the electron density inside the system. In the physical setup that we contemplate,…

Disordered Systems and Neural Networks · Physics 2020-01-29 Pier A. Mello , Miztli Yépez