Quantum boomerang effect: Beyond the standard Anderson model
Autor: | Nicolas Cherroret, Patrizia Vignolo, Dominique Delande, Zehra Akdeniz, L. Tessieri |
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Přispěvatelé: | Universidad Michoacana de San Nicolás de Hidalgo (UMICH), Piri Reis University = Piri Reis Üniversitesi, Laboratoire Kastler Brossel (LKB (Jussieu)), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Institut de Physique de Nice (INPHYNI), Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA), Akdeniz, Zehra |
Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: |
Pseudorandom number generator
Physics [PHYS]Physics [physics] Anderson localization Dynamical systems theory Wave packet FOS: Physical sciences Disordered Systems and Neural Networks (cond-mat.dis-nn) Boomerang effect Condensed Matter - Disordered Systems and Neural Networks 01 natural sciences 010305 fluids & plasmas Momentum Quantum Gases (cond-mat.quant-gas) Quantum mechanics 0103 physical sciences 010306 general physics Condensed Matter - Quantum Gases Anderson impurity model Quantum |
Zdroj: | Physical Review A Physical Review A, American Physical Society 2021, 103 (6), pp.063316. ⟨10.1103/PhysRevA.103.063316⟩ |
ISSN: | 2469-9926 2469-9934 |
DOI: | 10.1103/PhysRevA.103.063316⟩ |
Popis: | It was recently shown that wavepackets with skewed momentum distribution exhibit a boomerang-like dynamics in the Anderson model due to Anderson localization: after an initial ballistic motion, they make a U-turn and eventually come back to their starting point. In this paper, we study the robustness of the quantum boomerang effect in various kinds of disordered and dynamical systems: tight-binding models with pseudo-random potentials, systems with band random Hamiltonians, and the kicked rotor. Our results show that the boomerang effect persists in models with pseudo-random potentials. It is also present in the kicked rotor, although in this case with a specific dependency on the initial state. On the other hand, we find that random hopping processes inhibit any drift motion of the wavepacket, and consequently the boomerang effect. In particular, if the random nearest-neighbor hopping amplitudes have zero average, the wavepacket remains in its initial position. 12 pages, 8 figures |
Databáze: | OpenAIRE |
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