Routes towards Anderson-like localization of Bose-Einstein condensates in disordered optical lattices.
T. Schulte,S. Drenkelforth,J. Kruse,Wolfgang Ertmer,Jan J. Arlt,Krzysztof Sacha,Jakub Zakrzewski,Maciej Lewenstein +7 more
TLDR
Analysis of possible routes towards Anderson-like localization of Bose-Einstein condensates in disordered potentials shows that incommensurable superlattices should allow for the observation of the crossover from the nonlinear screening regime to the Anderson localized case within realistic experimental parameters.Abstract:
We investigate, both experimentally and theoretically, possible routes towards Anderson-like localization of Bose-Einstein condensates in disordered potentials. The dependence of this quantum interference effect on the nonlinear interactions and the shape of the disorder potential is investigated. Experiments with an optical lattice and a superimposed disordered potential reveal the lack of Anderson localization. A theoretical analysis shows that this absence is due to the large length scale of the disorder potential as well as its screening by the nonlinear interactions. Further analysis shows that incommensurable superlattices should allow for the observation of the crossover from the nonlinear screening regime to the Anderson localized case within realistic experimental parameters.read more
Citations
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Many-Body Physics with Ultracold Gases
TL;DR: In this article, a review of recent experimental and theoretical progress concerning many-body phenomena in dilute, ultracold gases is presented, focusing on effects beyond standard weakcoupling descriptions, such as the Mott-Hubbard transition in optical lattices, strongly interacting gases in one and two dimensions, or lowest-Landau-level physics in quasi-two-dimensional gases in fast rotation.
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Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
TL;DR: In this article, the authors review recent developments in the physics of ultracold atomic and molecular gases in optical lattices and show how these systems may be employed as quantum simulators to answer some challenging open questions of condensed matter, and even high energy physics.
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Anderson localization of a non-interacting Bose-Einstein condensate.
G. Roati,Chiara D'Errico,Leonardo Fallani,Marco Fattori,Chiara Fort,Matteo Zaccanti,Giovanni Modugno,Michele Modugno,Michele Modugno,Massimo Inguscio +9 more
TL;DR: This work uses a non-interacting Bose–Einstein condensate to study Anderson localization of waves in disordered media and describes the crossover, finding that the critical disorder strength scales with the tunnelling energy of the atoms in the lattice.
Journal ArticleDOI
Direct observation of Anderson localization of matter waves in a controlled disorder
Juliette Billy,Vincent Josse,Zhanchun Zuo,Alain Bernard,Ben Hambrecht,Pierre Lugan,David Clément,Laurent Sanchez-Palencia,Philippe Bouyer,Alain Aspect +9 more
TL;DR: This work directly image the atomic density profiles as a function of time, and finds that weak disorder can stop the expansion and lead to the formation of a stationary, exponentially localized wavefunction—a direct signature of Anderson localization.
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Quantum Phase Transitions
TL;DR: In this paper, the role of pertubative renormalization group (RG) approaches and self-consistent renormalized spin fluctuation (SCR-SF) theories to understand the quantum-classical crossover in the vicinity of the quantum critical point with generalization to the Kondo effect in heavy-fermion systems is discussed.
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