Many-body Anderson localization in one dimensional systems

We show, using quasi-exact numerical simulations, that Anderson localization of one-dimensional particles in a disordered potential survives in the presence of attractive interaction between particles. The localization length of the composite particle can be computed analytically for weak disorder a...

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Veröffentlicht in:	arXiv.org 2013-03
Hauptverfasser:	Delande, Dominique, Sacha, Krzysztof, Plodzien, Marcin, Avazbaev, Sanat K, Zakrzewski, Jakub
Format:	Artikel
Sprache:	eng
Schlagworte:	Anderson localization Computer simulation Localization Particulate composites Physics - Disordered Systems and Neural Networks Physics - Pattern Formation and Solitons Physics - Quantum Gases Physics - Quantum Physics
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Zusammenfassung:	We show, using quasi-exact numerical simulations, that Anderson localization of one-dimensional particles in a disordered potential survives in the presence of attractive interaction between particles. The localization length of the composite particle can be computed analytically for weak disorder and is in good agreement with the quasi-exact numerical observations using Time Evolving Block Decimation. Our approach allows for simulation of the entire experiment including the final measurement of all atom positions.
ISSN:	2331-8422
DOI:	10.48550/arxiv.1207.2001