scholarly journals Majorana bound state in the continuum: Coupling between a Majorana bound state and a quantum dot mediated by a continuum energy spectrum

2020 ◽  
Vol 101 (11) ◽  
Author(s):  
J. P. Ramos-Andrade ◽  
P. A. Orellana ◽  
E. Vernek
Keyword(s):  
Energy Spectrum ◽  
Quantum Dot ◽  
Bound State ◽  
Continuum Energy ◽  
The Continuum

scholarly journals On the adiabatic theorem when eigenvalues dive into the continuum

2018 ◽  
Vol 30 (05) ◽  
pp. 1850011 ◽  
Author(s):  
H. D. Cornean ◽  
A. Jensen ◽  
H. K. Knörr ◽  
G. Nenciu
Keyword(s):  
Quantum Dot ◽  
Survival Probability ◽  
Channel Model ◽  
Three Dimensional ◽  
Bound State ◽  
Initial Value ◽  
Initial State ◽  
Discrete Eigenvalue ◽  
Adiabatic Theorem ◽  
The Continuum

We consider a reduced two-channel model of an atom consisting of a quantum dot coupled to an open scattering channel described by a three-dimensional Laplacian. We are interested in the survival probability of a bound state when the dot energy varies smoothly and adiabatically in time. The initial state corresponds to a discrete eigenvalue which dives into the continuous spectrum and re-emerges from it as the dot energy is varied in time and finally returns to its initial value. Our main result is that for a large class of couplings, the survival probability of this bound state vanishes in the adiabatic limit. At the end of the paper, we present a short outlook on how our method may be extended to cover other classes of Hamiltonians; details will be given elsewhere.

scholarly journals Quasi-bound states in an NPN-type nanometer-scale graphene quantum dot under a magnetic field

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Yueting Pan ◽  
Haijiao Ji ◽  
Xin-Qi Li ◽  
Haiwen Liu
Keyword(s):  
Magnetic Field ◽  
Energy Spectrum ◽  
Quantum Dot ◽  
State Energy ◽  
Bound State ◽  
Scanning Tunneling ◽  
Bound State Energy ◽  
Graphene Quantum Dot ◽  
The Magnetic Field ◽  
Quasi Bound State

AbstractWe solve the quasi-bound state-energy spectra and wavefunctions of an NPN-type graphene quantum dot under a perpendicular magnetic field. The evolution of the quasi-bound state spectra under the magnetic field is investigated using a Wentzel–Kramers–Brillouin approximation. In numerical calculations, we also show that the twofold energy degeneracy of the opposite angular momenta breaks under a weak magnetic field. As the magnetic field strengthens, this phenomenon produces an observable splitting of the energy spectrum. Our results demonstrate the relation between the quasi-bound state-energy spectrum in graphene quantum dots and magnetic field strength, which is relevant to recent measurements in scanning tunneling microscopy.

scholarly journals Bound State in the Continuum in Nanoantenna-Coupled Slab Waveguide Enables Low-Threshold Quantum-Dot Lasing

Nano Letters ◽  
2021 ◽  
Author(s):  
Mengfei Wu ◽  
Lu Ding ◽  
Randy P. Sabatini ◽  
Laxmi Kishore Sagar ◽  
Golam Bappi ◽  
...  
Keyword(s):  
Quantum Dot ◽  
Bound State ◽  
Slab Waveguide ◽  
Low Threshold ◽  
The Continuum

scholarly journals Bound state in the continuum in 1D chain of dielectric disks: theory and experiment

2018 ◽  
Vol 1092 ◽  
pp. 012012 ◽  
Author(s):  
M. Balyzin ◽  
Z. Sadrieva ◽  
M. Belyakov ◽  
P. Kapitanova ◽  
A. Sadreev ◽  
...  
Keyword(s):  
Bound State ◽  
1D Chain ◽  
Theory And Experiment ◽  
The Continuum
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