ELECTROMAGNETIC CONTROL OF DYNAMICAL LOCALIZATION CONDITIONS IN 1D LATTICES WITH LONG-RANGE INTERSITE INTERACTIONS

2009 ◽  
Vol 07 (supp01) ◽  
pp. 149-154
Author(s):  
MARIA ANASTASIA JIVULESCU ◽  
ROSANNA MIGLIORE ◽  
ANTONINO MESSINA
Keyword(s):  
Charged Particle ◽  
Energy Spectrum ◽  
Electric Field ◽  
Long Range ◽  
Dynamical Localization ◽  
Bichromatic Field ◽  
Electromagnetic Control ◽  
Tunneling Dynamics ◽  
Localization Conditions

In this paper we investigate the possibility of controlling dynamical localization conditions for a charged particle confined in a 1D lattice biased with a dc-bichromatic field and long-range intersite interactions. We derive the quasi-energy spectrum of the system proving that the tunneling dynamics of the particle can be destroyed provided that the parameters of the external irradiating electric field are properly chosen.

Electric-Field-Induced Nonlinear Bloch Oscillations and Dynamical Localization

1995 ◽  
Vol 74 (7) ◽  
pp. 1186-1189 ◽  
Author(s):  
David Cai ◽  
A. R. Bishop ◽  
Niels Grønbech-Jensen ◽  
Mario Salerno
Keyword(s):  
Electric Field ◽  
Dynamical Localization ◽  
Bloch Oscillations

Dirac particle in electric field with confining scalar potential on (anti)-de Sitter background

2018 ◽  
Vol 33 (34) ◽  
pp. 1850202 ◽  
Author(s):  
N. Messai ◽  
B. Hamil ◽  
A. Hafdallah
Keyword(s):  
Energy Spectrum ◽  
Dirac Equation ◽  
Electric Field ◽  
Scalar Potential ◽  
Dirac Particle ◽  
Wave Functions ◽  
De Sitter ◽  
Sitter Background ◽  
Position Representation

In this paper, we study the (1 + 1)-dimensional Dirac equation in the presence of electric field and scalar linear potentials on (anti)-de Sitter background. Using the position representation, the energy spectrum and the corresponding wave functions are exactly obtained.

scholarly journals Ions in an AC Electric Field: Strong Long-Range Repulsion between Oppositely Charged Surfaces

2020 ◽  
Vol 125 (5) ◽  
Author(s):  
Łukasz Richter ◽  
Paweł J. Żuk ◽  
Piotr Szymczak ◽  
Jan Paczesny ◽  
Krzysztof M. Bąk ◽  
...  
Keyword(s):  
Electric Field ◽  
Long Range ◽  
Charged Surfaces ◽  
Ac Electric Field ◽  
Oppositely Charged

Fast decay of eigenfunction correlators in long-range continuous random alloys

2019 ◽  
Vol 27 (1) ◽  
pp. 43-51
Author(s):  
Victor Chulaevsky
Keyword(s):  
Long Range ◽  
Exponential Decay ◽  
Interaction Potential ◽  
Dynamical Localization ◽  
Fast Decay ◽  
Euclidean Spaces ◽  
Strong Disorder ◽  
Low Energies ◽  
Media Interaction ◽  
Random Alloys

Abstract We study random Anderson Hamiltonians in Euclidean spaces with a long-range particle-media interaction potential {\mathfrak{u}(r)=r^{-A}} . Improving earlier results, for any {A>2d} , we establish spectral and strong dynamical localization with sub-exponential decay of eigenfunction correlators, both in the strong disorder regime and at low energies.

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