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- A Trombettoni, A Smerzi
- Physical review letters
- 2001

We study the dynamical phase diagram of a dilute Bose-Einstein condensate (BEC) trapped in a periodic potential. The dynamics is governed by a discrete nonlinear Schrödinger equation: intrinsically localized excitations, including discrete solitons and breathers, can be created even if the BEC's interatomic potential is repulsive. Furthermore, we analyze… (More)

- R Burioni, D Cassi, P Sodano, A Trombettoni, A Vezzani
- Physical review. E, Statistical, nonlinear, and…
- 2006

We show that, by inserting suitable finite networks at a site of a chain, it is possible to realize filters and high-pass/low-pass devices for solitons propagating along the chain. The results are presented in the framework of coupled optical waveguides; possible applications to different contexts, such as photonic lattices and Bose-Einstein condensates in… (More)

- R Burioni, D Cassi, P Sodano, A Trombettoni, A Vezzani
- Chaos
- 2005

In many physical applications solitons propagate on supports whose topological properties may induce new and interesting effects. In this paper, we investigate the propagation of solitons on chains with a topological inhomogeneity generated by inserting a finite discrete network on a chain. For networks connected by a link to a single site of the chain, we… (More)

- F S Cataliotti, S Burger, +5 authors M Inguscio
- Science
- 2001

We report on the direct observation of an oscillating atomic current in a one-dimensional array of Josephson junctions realized with an atomic Bose-Einstein condensate. The array is created by a laser standing wave, with the condensates trapped in the valleys of the periodic potential and weakly coupled by the interwell barriers. The coherence of multiple… (More)

- A Trombettoni, A Smerzi, A R Bishop
- Physical review. E, Statistical, nonlinear, and…
- 2003

We investigate the dynamical properties of the one-dimensional discrete nonlinear Schrödinger equation (DNLS) with periodic boundary conditions and with an arbitrary distribution of on-site defects. We study the propagation of a traveling plane wave with momentum k: the dynamics in Fourier space mainly involves two localized states with momenta +/-k… (More)

- A Smerzi, A Trombettoni, P G Kevrekidis, A R Bishop
- Physical review letters
- 2002

We predict a dynamical classical superfluid-insulator transition in a Bose-Einstein condensate trapped in an optical and a magnetic potential. In the tight-binding limit, this system realizes an array of weakly coupled condensates driven by an external harmonic field. For small displacements of the parabolic trap about the equilibrium position, the… (More)

- Th Anker, M Albiez, +4 authors M K Oberthaler
- Physical review letters
- 2005

We report the first experimental observation of nonlinear self-trapping of Bose-condensed 87Rb atoms in a one-dimensional waveguide with a superimposed deep periodic potential . The trapping effect is confirmed directly by imaging the atomic spatial distribution. Increasing the nonlinearity we move the system from the diffusive regime, characterized by an… (More)

- A Smerzi, A Trombettoni
- 2008

- A Smerzi, A Trombettoni
- Chaos
- 2003

The dynamics of a Bose-Einstein condensate trapped in a periodic potential is governed by a discrete nonlinear equation. The interplay/competition between discreteness (introduced by the lattice) and nonlinearity (due to the interatomic interaction) manifests itself on nontrivial dynamical regimes which disappear in the continuum (translationally invariant)… (More)

- Giacomo Valtolina, Alessia Burchianti, +8 authors Giacomo Roati
- Science
- 2015

The Josephson effect is a macroscopic quantum phenomenon that reveals the broken symmetry associated with any superfluid state. Here we report on the observation of the Josephson effect between two fermionic superfluids coupled through a thin tunneling barrier. We show that the relative population and phase are canonically conjugate dynamical variables… (More)