Edge states of a three dimensional kicked rotor

Alexandra Bakman; Hagar Veksler; Shmuel Fishman

doi:10.1140/epjb/e2019-100174-8

Edge states of a three dimensional kicked rotor

Alexandra Bakman, Hagar Veksler, Shmuel Fishman

Research output: Contribution to journal › Article › peer-review

Abstract

Abstract: Edge localization is a fascinating quantum phenomenon. In this paper, the underlying mechanism generating it is presented analytically and verified numerically for a weakly kicked three-dimensional rotor. We expand the eigenstates of the one-kick propagator of the kicked rotor in the basis of the free rotor eigenstates, which are defined by the quantum number of angular momentum. Since this quantum number must be non-negative, there is an edge near zero angular momentum, and an edge state is created. Analogy to tight binding model in solid state physics is used. Graphical abstract: [Figure not available: see fulltext.]

Original language	English
Article number	236
Journal	European Physical Journal B
Volume	92
Issue number	10
DOIs	https://doi.org/10.1140/epjb/e2019-100174-8
State	Published - 1 Oct 2019
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2019, EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature.

Keywords

Statistical and Nonlinear Physics

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1140/epjb/e2019-100174-8

Cite this

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title = "Edge states of a three dimensional kicked rotor",

abstract = "Abstract: Edge localization is a fascinating quantum phenomenon. In this paper, the underlying mechanism generating it is presented analytically and verified numerically for a weakly kicked three-dimensional rotor. We expand the eigenstates of the one-kick propagator of the kicked rotor in the basis of the free rotor eigenstates, which are defined by the quantum number of angular momentum. Since this quantum number must be non-negative, there is an edge near zero angular momentum, and an edge state is created. Analogy to tight binding model in solid state physics is used. Graphical abstract: [Figure not available: see fulltext.]",

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AU - Fishman, Shmuel

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N2 - Abstract: Edge localization is a fascinating quantum phenomenon. In this paper, the underlying mechanism generating it is presented analytically and verified numerically for a weakly kicked three-dimensional rotor. We expand the eigenstates of the one-kick propagator of the kicked rotor in the basis of the free rotor eigenstates, which are defined by the quantum number of angular momentum. Since this quantum number must be non-negative, there is an edge near zero angular momentum, and an edge state is created. Analogy to tight binding model in solid state physics is used. Graphical abstract: [Figure not available: see fulltext.]

AB - Abstract: Edge localization is a fascinating quantum phenomenon. In this paper, the underlying mechanism generating it is presented analytically and verified numerically for a weakly kicked three-dimensional rotor. We expand the eigenstates of the one-kick propagator of the kicked rotor in the basis of the free rotor eigenstates, which are defined by the quantum number of angular momentum. Since this quantum number must be non-negative, there is an edge near zero angular momentum, and an edge state is created. Analogy to tight binding model in solid state physics is used. Graphical abstract: [Figure not available: see fulltext.]

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ER -

Edge states of a three dimensional kicked rotor

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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