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We systematically investigate the properties of the quenched disorder potential in an atomic waveguide, and study its effects to the dynamics of condensate in the strong disorder region. We show that even very small wire shape fluctuations…

Other Condensed Matter · Physics 2007-05-23 Daw-Wei Wang

We study the equilibrium states of a vortex in a Bose-Einstein condensate in a one-dimensional optical lattice. We find that quantum effects can be important and that it is even possible for the vortex to be strongly squeezed, which…

Statistical Mechanics · Physics 2014-10-13 J. -P. Martikainen , H. T. C. Stoof

Bose systems, subject to the action of external random potentials, are considered. For describing the system properties, under the action of spatially random potentials of arbitrary strength, the stochastic mean-field approximation is…

Disordered Systems and Neural Networks · Physics 2015-05-13 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

We investigate the emergence of three-dimensional behavior in a reduced-dimension Bose-Einstein condensate trapped by a highly anisotropic potential. We handle the problem analytically by performing a perturbative Schmidt decomposition of…

Quantum Physics · Physics 2015-05-28 Alexandre B. Tacla , Carlton M. Caves

We study the coherent flow of a guided Bose-Einstein condensate incident over a disordered region of length L. We introduce a model of disordered potential that originates from magnetic fluctuations inherent to microfabricated guides. This…

Other Condensed Matter · Physics 2009-11-11 Tobias Paul , Patricio Leboeuf , Nicolas Pavloff , Klaus Richter , Peter Schlagheck

We consider Bose-Einstein condensed atoms confined in a toroidal trap. We demonstrate that under conditions of one-dimensional behavior, the density distribution of the atoms may be exponentially localized/delocalized, even for very small…

Other Condensed Matter · Physics 2009-11-11 A. D. Jackson , G. M. Kavoulakis

We discuss a quantum-metrology protocol designed to estimate a physical parameter in a Bose-Einstein condensate of N atoms, and we show that the measurement uncertainty can decrease faster than 1/N. The 1/N scaling is usually thought to be…

We investigate the effect of coupling between translational and internal degrees of freedom of composite quantum particles on their localization in a random potential. We show that entanglement between the two degrees of freedom weakens…

Quantum Physics · Physics 2021-10-13 Fumika Suzuki , Mikhail Lemeshko , Wojciech H. Zurek , Roman V. Krems

This paper studies the localization behaviour of Bose-Einstein condensates in disorder potentials, modeled by a Gross-Pitaevskii eigenvalue problem on a bounded interval. In the regime of weak particle interaction, we are able to quantify…

Quantum Gases · Physics 2021-10-11 Robert Altmann , Patrick Henning , Daniel Peterseim

Vortex configurations in rotating Bose-Einstein condensed gases trapped in power-law and anharmonic potentials are studied. When the confining potential is steeper than harmonic in the plane perpendicular to the axis of rotation, vortices…

Condensed Matter · Physics 2009-11-07 Emil Lundh

We study quantum transport of an interacting Bose-Einstein condensate in a two-dimensional disorder potential. In the limit of vanishing atom-atom interaction, a sharp cone in the angle-resolved density of the scattered matter wave is…

Other Condensed Matter · Physics 2009-11-13 Michael Hartung , Thomas Wellens , Cord A. Mueller , Klaus Richter , Peter Schlagheck

Some of the recent developments concerning the propagation of quantum correlations across spin channels are reviewed. In particular, we focus on the improvement of the transport efficiency obtained by the manipulation of few energy…

Quantum Physics · Physics 2015-06-05 Tony J. G. Apollaro , Salvatore Lorenzo , Francesco Plastina

We study the effect of atomic interaction on the localization and the associated dynamics of Bose-Einstein condensates in a one-dimensional quasiperiodic optical lattice and random Gaussian disordered potentials. When the interactions are…

Quantum Gases · Physics 2024-05-03 Swarup Sarkar , Tapan Mishra , Paulsamy Muruganandam , Pankaj K. Mishra

In this paper we present a theoretical investigation of the effect of a superlattice potential on some properties of non-interacting bosons in one dimensional lattices with Aubry-And\'re disorder potential. In the first part, we investigate…

Quantum Gases · Physics 2015-12-22 R. Ramakumar , A. N. Das , S. Sil

Quantum correlations that typically develop between a quantum battery and its charger reduce the amount of work extractable from the battery. We show that by coupling the system with an additional environment that can be continuously…

Quantum Physics · Physics 2025-12-08 Gabriele Cenedese , Giuliano Benenti , Dario Ferraro , Marco G. Genoni

We study Anderson localization of ultracold atoms in weak, one-dimensional speckle potentials, using perturbation theory beyond Born approximation. We show the existence of a series of sharp crossovers (effective mobility edges) between…

We develop a model of a strongly correlated Bose fluid model in a confined potential for the purpose of analyzing the localization of Bose-Einstein condensation and the disappearance of superfluidity. This work is motivated by the recent…

Disordered Systems and Neural Networks · Physics 2007-05-23 Michikazu Kobayashi , Makoto Tsubota

We formulate the problem of efficient transport of a quantum particle trapped in a harmonic potential which can move with a bounded velocity, as a minimum-time problem on a linear system with bounded input. We completely solve the…

Optimization and Control · Mathematics 2014-04-21 Dionisis Stefanatos , Jr-Shin Li

Entanglement-based technologies, such as quantum information processing, quantum simulations, and quantum-enhanced metrology, have the potential to revolutionise our way of computing and measuring and help clarifying the puzzling concept of…

We study motion of a quantum wavepacket in a one-dimensional potential with correlated disorder. Presence of long-range potential correlations allows for existence of both localized and extended states. Weak time-dependent perturbation in…

Disordered Systems and Neural Networks · Physics 2015-02-09 Denis Makarov , Leonid Kon'kov