Lyapunov behavior and dynamical localization for quasi-periodic CMV matrices

2020 ◽  
Vol 606 ◽  
pp. 68-89
Author(s):  
Shuzheng Guo ◽  
Daxiong Piao
Keyword(s):  
Dynamical Localization

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

scholarly journals Direct Scaling Analysis of Fermionic Multiparticle Correlated Anderson Models with Infinite-Range Interaction

2016 ◽  
Vol 2016 ◽  
pp. 1-17 ◽  
Author(s):  
Victor Chulaevsky
Keyword(s):  
Dynamical Localization ◽  
Scaling Analysis ◽  
Range Interaction ◽  
Direct Scaling ◽  
Strongly Mixing ◽  
Optimal Decay ◽  
Decay Bounds ◽  
Multiparticle Systems ◽  
Infinite Range ◽  
Anderson Models

We adapt the method of direct scaling analysis developed earlier for single-particle Anderson models, to the fermionic multiparticle models with finite or infinite interaction on graphs. Combined with a recent eigenvalue concentration bound for multiparticle systems, the new method leads to a simpler proof of the multiparticle dynamical localization with optimal decay bounds in a natural distance in the multiparticle configuration space, for a large class of strongly mixing random external potentials. Earlier results required the random potential to be IID.

scholarly journals Rise and fall of Landau’s quasiparticles while approaching the Mott transition

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Andrej Pustogow ◽  
Yohei Saito ◽  
Anja Löhle ◽  
Miriam Sanz Alonso ◽  
Atsushi Kawamoto ◽  
...  
Keyword(s):  
Fermi Liquid ◽  
Mott Transition ◽  
Dynamical Localization ◽  
Strong Increase ◽  
Unconventional Superconductors ◽  
Scattering Rate ◽  
Complex Interactions ◽  
Liquid Behavior ◽  
Half Filling ◽  
Correlation Strength

AbstractLandau suggested that the low-temperature properties of metals can be understood in terms of long-lived quasiparticles with all complex interactions included in Fermi-liquid parameters, such as the effective mass m⋆. Despite its wide applicability, electronic transport in bad or strange metals and unconventional superconductors is controversially discussed towards a possible collapse of the quasiparticle concept. Here we explore the electrodynamic response of correlated metals at half filling for varying correlation strength upon approaching a Mott insulator. We reveal persistent Fermi-liquid behavior with pronounced quadratic dependences of the optical scattering rate on temperature and frequency, along with a puzzling elastic contribution to relaxation. The strong increase of the resistivity beyond the Ioffe–Regel–Mott limit is accompanied by a ‘displaced Drude peak’ in the optical conductivity. Our results, supported by a theoretical model for the optical response, demonstrate the emergence of a bad metal from resilient quasiparticles that are subject to dynamical localization and dissolve near the Mott transition.

Dynamical localization for two-level systems periodically driven

2004 ◽  
Vol 38 (2) ◽  
pp. L23-L30 ◽  
Author(s):  
Daniele Lodi ◽  
Marco Maioli ◽  
Andrea Sacchetti
Keyword(s):  
Dynamical Localization ◽  
Periodically Driven ◽  
Two Level Systems

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.

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