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We study the full-fledged microscopic dynamics of two interacting, ultracold bosons in a one- dimensional double-well potential, through the numerically exact diagonalization of the many-body Hamiltonian. With the particles initially…

Quantum Physics · Physics 2013-05-15 Stefan Hunn , Klaus Zimmermann , Moritz Hiller , Andreas Buchleitner

Currents across thin insulators are commonly taken as single electrons moving across classically forbidden regions; this independent particle picture is well-known to describe most tunneling phenomena. Examining quantum transport from a…

Materials Science · Physics 2007-05-23 Giorgos Fagas , Paul Delaney , James C. Greer

This paper is devoted to semiclassical tunneling estimates induced on the circle by a double well electric potential in the case when a magnetic field is added. When the two electric wells are connected by two geodesics for the Agmon…

Analysis of PDEs · Mathematics 2015-08-27 Virginie Bonnaillie-Noël , Frédéric Hérau , Nicolas Raymond

A single electron shared between two levels threaded by a magnetic flux is an irreducibly simple quantum system in which interference is predicted to occur. We demonstrate tuning of the tunnel coupling between two such electronic levels…

Mesoscale and Nanoscale Physics · Physics 2024-09-12 Christian G. Prosko , Ivan Kulesh , Michael Chan , Lin Han , Di Xiao , Candice Thomas , Michael J. Manfra , Srijit Goswami , Filip K. Malinowski

We consider the one-dimensional Schr\"{o}dinger operator in the semiclassical regime assuming that its double-well potential is the sum of a finite "physically given" well and a square shape probing well whose width or depth can be varied…

Mathematical Physics · Physics 2014-11-18 M. V. Karasev , E. V. Vybornyi

We find the minimum and the maximum value for the local energy of an arbitrary finite bipartite system for any given amount of entanglement, also identifying families of states reaching these bounds and sharing formal analogies with thermal…

Quantum Physics · Physics 2023-09-12 Nicolò Piccione , Benedetto Militello , Anna Napoli , Bruno Bellomo

We study the temporal aspects of quantum tunneling as manifested in time-of-arrival experiments in which the detected particle tunnels through a potential barrier. In particular, we present a general method for constructing temporal…

Quantum Physics · Physics 2015-06-12 Charis Anastopoulos , Ntina Savvidou

In this paper, we examine interwell tunneling between a pair of fractional quantum Hall liquids in a double quantum well system in a tilted magnetic field. Using a variational Monte Carlo method, we calculate moments of the intra-Landau…

Condensed Matter · Physics 2009-10-22 S. R. Renn , B. W. Roberts

In this paper, we attempt the theoretical modeling of the magnetic tunnel junctions with embedded magnetic and nonmagnetic nanoparticles (NPs). A few abnormal tunnel magnetoresistance (TMR) effects, observed in related experiments, can be…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Arthur Useinov , Niazbeck Useinov , Lin-Xiu Ye , Te-Ho Wu , Chih-Huang Lai

An analogy between Wigner resonant tunneling and tunneling across a static potential barrier in a static magnetic field is found. Whereas in the process of Wigner tunneling an electron encounters a classically allowed regions, where a…

Quantum Physics · Physics 2009-11-13 B. Ivlev

We compare the classical and quantum mechanical position-space probability densities for a particle in an asymmetric infinite well. In an idealized system with a discontinuous step in the middle of the well, the classical and quantum…

Quantum Physics · Physics 2007-05-23 M. A. Doncheski , R. W. Robinett

We study the tunneling of a two-level atom in a double well potential while the atom is coupled to a single electromagnetic field mode of a cavity. The coupling between internal and external degrees of freedom, due to the mechanical effect…

Quantum Physics · Physics 2008-06-18 John Martin , Daniel Braun

The semiclassical magnetic Neumann Schr\"odinger operator on a smooth, bounded, and simply connected domain $\Omega$ of the Euclidean plane is considered. When $\Omega$ has a symmetry axis, the semiclassical splitting of the first two…

Spectral Theory · Mathematics 2021-03-10 Virginie Bonnaillie-Noël , Frédéric Hérau , Nicolas Raymond

We consider tunneling between symmetric wells for a 2-D semi-classical Schr\"odinger operator for energies close to the quadratic minimum of the potential V in two cases: (1) excitations of the lowest frequency in the harmonic oscillator…

Mathematical Physics · Physics 2020-04-09 Anatoly Anikin , Michel Rouleux

Probabilities of resonant tunneling through a potential barrier are compared for a rigid molecule and an excited molecule. It is shown that the resonance spectrum is mainly governed by the transmission resonance spectrum of the rigid…

Quantum Physics · Physics 2015-06-23 P. M. Krassovitskiy , F. M. Pen'kov

We study the ground state for many interacting bosons in a double-well potential, in a joint limit where the particle number and the distance between the potential wells both go to infinity. Two single-particle orbitals (one for each well)…

Mathematical Physics · Physics 2023-10-25 Alessandro Olgiati , Nicolas Rougerie , Dominique Spehner

Theoretical analysis of the experimental data for the energy levels of two interacting electrons confined by a finite Gaussian potential in a 2D quantum dot and subjected to a uniform magnetic field perpendicular to the plane of the dot is…

Mesoscale and Nanoscale Physics · Physics 2022-07-27 S. Chaudhuri

A variational calculation of the lower singlet and triplet states of positively charged excitons (trions) confined to a single quantum well and in the presence of a perpendicular magnetic field is presented. We study the dependence of the…

Strongly Correlated Electrons · Physics 2009-11-07 C. Riva , F. M. Peeters , K. Varga

We revisit a rectangular barrier as well as a rectangular well (pit) between two rigid walls. The former is the well known double-well potential and the latter is a hole potential. Let $|V_0|$ be the height (depth) of the barrier (well)…

Quantum Physics · Physics 2014-02-03 Zafar Ahmed , Tanayveer Bhatia , Shashin Pavaskar , Achint Kumar

Slow magnetooscilations of the conductivity are observed in a 75 nm wide quantum well at heating of the two-dimensional electrons by a high-intensity surface acoustic wave. These magnetooscillations are caused by intersubband elastic…

Mesoscale and Nanoscale Physics · Physics 2018-02-28 I. L. Drichko , I. Yu. Smirnov , M. O. Nestoklon , A. V. Suslov , D. Kamburov , K. W. Baldwin , L. N. Pfeiffer , K. W. West , L. E. Golub