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The Bloch sphere representation is a geometric model for all possible quantum states of a two-level system that can be used to describe the time dynamics of a qubit. As explicit application, we consider the time dynamics of a particle in a…

Physics Education · Physics 2024-10-31 Jonas Bley , Vieri Mattei , Simon Goorney , Jacob Sherson , Stefan Heusler

We perform a phase-space analysis of strong-field enhanced ionisation in molecules, with emphasis on quantum-interference effects. Using Wigner quasi-probability distributions and the quantum Liouville equation, we show that the momentum…

Atomic Physics · Physics 2019-07-30 H. Chomet , D. Sarkar , C. Figueira de Morisson Faria

The tunneling wave function of the universe is investigated in a minisuperspace framework of a de Sitter universe with a quantum scalar field, treated as a perturbation. We consider three different approaches to defining the tunneling wave…

General Relativity and Quantum Cosmology · Physics 2018-09-19 Alexander Vilenkin , Masaki Yamada

Two main mechanisms dictate the tunneling process in a double quantum dot: overlap of excited wave functions, effectively described as a tunneling rate, and phonon-assisted tunneling. In this paper, we study different regimes of tunneling…

Quantum Physics · Physics 2020-01-08 Vladimir Vargas-Calderón , Herbert Vinck-Posada

The accuracy of the WKB approximation when predicting the energy splitting of bound states in a double well potential is the main subject of this paper. The splitting of almost degenerate energy levels below the top of the barrier results…

Chaotic Dynamics · Physics 2009-10-31 Marko Robnik , Luca Salasnich , Marko Vranicar

In this manuscript, the behavior of the Wigner function of accelerated and non-accelerated two qubit system passing through different noisy channels is discussed. The decoherence of the initial quantum correlation due to the noisy channels…

Quantum Physics · Physics 2019-03-25 M. Y. Abd-Rabbou , N. Metwally , M. M. A. Ahmed , A. -S. F. Obada

We show that the quantum wavefunction, interpreted as the probability density of finding a single non-localized quantum particle, which evolves according to classical laws of motion, is an intermediate description of a material quantum…

Quantum Physics · Physics 2007-05-23 Daniela Dragoman

We describe a proposal to probe the quantum tunneling mechanism of an individual ion trapped in a double-well electromagnetic potential. The time-evolution of the probability of fluorescence measurement of the electronic ground state is…

Quantum Physics · Physics 2009-11-07 R. M. Serra , C. J. Villas-Boas , M. H. Y. Moussa

Quasiclassical methods for non-adiabatic quantum dynamics can reveal new features of quantum effects, such as tunneling evolution, that are harder to reveal in standard treatments based on wave functions of stationary states. Here, these…

General Relativity and Quantum Cosmology · Physics 2022-05-06 Martin Bojowald , Pip Petersen

The charge density and pair correlation function of three interacting electrons confined within a two-dimensional disc-like hard wall quantum dot are calculated by full numerical diagonalization of the Hamiltonian. The formation of a…

Strongly Correlated Electrons · Physics 2009-10-31 N. Akman , M. Tomak

The quantum dissipative dynamics of a tunneling process through double barrier structures is investigated on the basis of a rigorous treatment for the first time. We employ a Caldeira-Leggett Hamiltonian with an effective potential…

Mesoscale and Nanoscale Physics · Physics 2013-02-28 Atsunori Sakurai , Yoshitaka Tanimura

We adapt the semiclassical technique, as used in the context of instanton transitions in quantum field theory, to the description of tunneling transmissions at finite energies through potential barriers by complex quantum mechanical…

Quantum Physics · Physics 2007-05-23 G. F. Bonini , A. G. Cohen , C. Rebbi , V. A. Rubakov

We derive a Bell inequality based on a generalized quasiprobability function which is parameterized by one non-positive real value. Two types of known Bell inequalities formulated in terms of the Wigner and Q functions are included as…

Quantum Physics · Physics 2009-08-06 Seung-Woo Lee , Hyunseok Jeong , Dieter Jaksch

We propose a selfconsistent microscopic model of vertical sequential tunneling through a multi-quantum well.The model includes a detailed description of the contacts,uses the Transfer Hamiltonian for expressions of the current and it treats…

Condensed Matter · Physics 2009-10-30 Ramon Aguado , Gloria Platero , Miguel Moscoso , Luis L. Bonilla

Unbounded potentials are always utilized to strictly confine quantum dynamics and generate bound or stationary states due to the existence of quantum tunneling. However, the existed accurate Wigner solvers are often designed for either…

Computational Physics · Physics 2019-06-04 Zhenzhu Chen , Yunfeng Xiong , Sihong Shao

We follow up the work, where in light of the Picard-Lefschetz thimble approach, we split up the real-time path integral into two parts: the initial density matrix part which can be represented via an ensemble of initial conditions, and the…

High Energy Physics - Theory · Physics 2020-01-29 Zong-Gang Mou , Paul M. Saffin , Anders Tranberg

We establish a tunneling formula for a Schr\"odinger operator with symmetric double-well potential and homogeneous magnetic field, in dimension two. Each well is assumed to be radially symmetric and compactly supported. We obtain an…

Spectral Theory · Mathematics 2023-09-28 Léo Morin

Localization of a particle in the wells of an asymmetric double-well (DW) potential is investigated here. Information entropy-based uncertainty measures, such as Shannon entropy, Fisher information, Onicescu energy, etc., and phasespace…

Quantum Physics · Physics 2019-04-15 Neetik Mukherjee , Amlan K. Roy

We study excitations and collisions of kinks in a scalar field theory where the potential has two minima with $Z_2$ symmetry. The field potential is designed to create a square well potential in the stability equation of the kink…

High Energy Physics - Theory · Physics 2021-10-06 João G. F. Campos , Azadeh Mohammadi

Time analysis of oscillations of a particle between wells in the one-dimensional double-well potential with infinite high outside walls, based on wave packet use and energy spectrum analysis, is presented. For the double-well potential of…

Nuclear Theory · Physics 2007-05-23 Sergei P. Maydanyuk
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