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The understanding of disordered quantum systems is still far from being complete, despite many decades of research on a variety of physical systems. In this review we discuss how Bose-Einstein condensates of ultracold atoms in disordered…

Disordered Systems and Neural Networks · Physics 2010-10-08 Giovanni Modugno

One of the most intriguing phenomena in physics is the localization of waves in disordered media. This phenomenon was originally predicted by Anderson, fifty years ago, in the context of transport of electrons in crystals. Anderson…

Disordered Systems and Neural Networks · Physics 2015-02-26 G. Roati , C. D'Errico , L. Fallani , M. Fattori , C. Fort , M. Zaccanti , G. Modugno , M. Modugno , M. Inguscio

Important properties of complex quantum many-body systems and their phase diagrams can often already be inferred from the impurity limit. The Bose polaron problem describing an impurity atom immersed in a Bose-Einstein condensate is a…

Quantum Gases · Physics 2024-03-06 Arthur Christianen , J. Ignacio Cirac , Richard Schmidt

We theoretically investigate the localization of an expanding Bose-Einstein condensate with repulsive atom-atom interactions in a disordered potential. We focus on the regime where the initial inter-atomic interactions dominate over the…

Other Condensed Matter · Physics 2008-12-18 Laurent Sanchez-Palencia , David Clément , Pierre Lugan , Philippe Bouyer , Alain Aspect

We describe the ground state of a large, dilute, neutral atom Bose- Einstein condensate (BEC) doped with N strongly coupled mutually indistinguishable, bosonic neutral atoms (referred to as "impurity") in the polaron regime where the BEC…

Statistical Mechanics · Physics 2011-11-07 D. H. Santamore , Eddy Timmermans

Anderson localization in a two-dimensional ultracold Bose-gas has been demonstrated experimentally. Atoms were released within a dumbbell-shaped optical trap, where the channel of variable aspect ratio provided the only path for particles…

Quantum Gases · Physics 2021-12-22 Mojdeh S. Najafabadi , Daniel Schumayer , David A. W. Hutchinson

By numerical and variational solution of the Gross-Pitaevskii equation, we studied the localization of a noninteracting and weakly-interacting Bose-Einstein condensate (BEC) in a disordered cold atom lattice and a speckle potential. In the…

Quantum Gases · Physics 2015-05-19 Yongshan Cheng , S. K. Adhikari

We report the observation of exponential localization of a Bose-Einstein condensate (BEC) released into a one-dimensional waveguide in the presence of a controlled disorder created by laser speckle . We operate in a regime allowing AL: i)…

The mobile impurity in a Bose-Einstein condensate (BEC) is a paradigmatic many-body problem. For weak interaction between the impurity and the BEC, the impurity deforms the BEC only slightly and it is well described within the Fr\"ohlich…

Quantum Gases · Physics 2022-09-14 Richard Schmidt , Tilman Enss

A new generation of cold atom experiments trapping atomic mixtures in species selective optical potentials opens up the intriguing possibility to create systems in which different atoms live in different spatial dimensions. Inspired by…

Quantum Gases · Physics 2017-09-21 Niels Jakob Søe Loft , Zhigang Wu , Georg M. Bruun

Anderson localization is a single particle localization phenomena in disordered media that is accompanied by an absence of diffusion. Spin-orbit coupling (SOC) describes an interaction between a particle's spin and its momentum that…

Quantum Gases · Physics 2020-09-23 Y. Yue , C. A. R. Sá de Melo , I. B. Spielman

A toolbox for the quantum simulation of polarons in ultracold atoms is presented. Motivated by the impressive experimental advances in the area of ultracold atomic mixtures, we theoretically study the problem of ultracold atomic impurities…

Quantum Physics · Physics 2017-05-25 E. Compagno , G. De Chiara , D. G. Angelakis , G. M. Palma

We study the dynamics of a quantum impurity immersed in a Bose-Einstein condensate as an open quantum system in the framework of the quantum Brownian motion model. We derive a generalized Langevin equation for the position of the impurity.…

Quantum Gases · Physics 2017-09-28 Aniello Lampo , Soon Hoe Lim , Miguel Ángel García-March , Maciej Lewenstein

The problem of an impurity particle moving through a bosonic medium plays a fundamental role in physics. However, the canonical scenario of a mobile impurity immersed in a Bose-Einstein condensate (BEC) has not yet been realized. Here, we…

We numerically simulate an oscillating Bose-Einstein condensate in a disordered trap [Phys. Rev. A 82, 033603 (2010)] and the results are in good agreement with the experiment. It allows us to verify that total energy and particle number…

Quantum Gases · Physics 2018-12-19 Che-Hsiu Hsueh , Russell Ong , Jing-Fu Tseng , Makoto Tsubota , Wen-Chin Wu

We consider a single impurity atom confined to an optical lattice and immersed in a homogeneous Bose-Einstein condensate (BEC). Interaction of the impurity with the phonon modes of the BEC leads to the formation of a stable quasiparticle,…

Quantum Gases · Physics 2014-12-10 Fabian Grusdt , Aditya Shashi , Dmitry Abanin , Eugene Demler

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…

Disordered Systems and Neural Networks · Physics 2009-11-11 T. Schulte , S. Drenkelforth , J. Kruse , W. Ertmer , J. Arlt , K. Sacha , J. Zakrzewski , M. Lewenstein

We investigate the influence of a Bose-Einstein condensate (BEC) on the properties of immersed impurity atoms, which are trapped in an optical lattice. Assuming a weak coupling of the impurity atoms to the BEC, we derive a quantum master…

Quantum Physics · Physics 2007-11-22 Alexander Klein , Martin Bruderer , Stephen R. Clark , Dieter Jaksch

We study the interplay of disorder and interaction effects including bosonic degrees of freedom in the framework of a generic one-dimensional transport model, the Anderson-Edwards model. Using the density-matrix renormalization group…

Strongly Correlated Electrons · Physics 2015-06-11 S. Nishimoto , S. Ejima , H. Fehske

Thermalizing and localized many-body quantum systems present two distinct dynamical phases of matter. Recently, the fate of a localized system coupled to a thermalizing system viewed as a quantum bath received significant theoretical and…

Disordered Systems and Neural Networks · Physics 2022-07-13 Pietro Brighi , Alexios A. Michailidis , Kristina Kirova , Dmitry A. Abanin , Maksym Serbyn
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