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Dilute Bose gases, cooled down to low temperatures below the Bose-Einstein condensation temperature, form coherent ensembles described by the Gross-Pitaevskii equation. Stationary solutions to the latter are topological coherent modes. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. I. Yukalov , E. P. Yukalova

Bose-Einstein condensation is a remarkable manifestation of quantum statistics and macroscopic quantum coherence. Superconductivity and superfluidity have their origin in Bose-Einstein condensation. Ultracold quantum gases have provided…

We consider the self-evolution of strongly non-equilibrium interacting Bose gas. Due to the mere fact of large (as compared to unity) occupation numbers in the initial state the problem is directly reduced to the question of temporal…

Condensed Matter · Physics 2009-10-30 Yu. Kagan , B. V. Svistunov

We study the evolution of a collisionally inhomogeneous matter wave in a spatial gradient of the interaction strength. Starting with a Bose-Einstein condensate with weak repulsive interactions in quasi-one-dimensional geometry, we monitor…

We investigate the properties of a coherent array containing about 200 Bose-Einstein condensates produced in a far detuned 1D optical lattice. The density profile of the gas, imaged after releasing the trap, provides information about the…

Soft Condensed Matter · Physics 2011-02-23 P. Pedri , L. Pitaevskii , S. Stringari , C. Fort , S. Burger , F. S. Cataliotti , P. Maddaloni , F. Minardi , M. Inguscio

The spontaneous emergence of enhanced responses and local orders are properties often associated with complex matter where nonlinearities and spatial inhomogeneities dominate. We discuss these phenomena in quantum devices realized with…

Superconductivity · Physics 2007-06-12 F. P. Mancini , P. Sodano , A. Trombettoni

Analogue models for gravity intend to provide a framework where matter and gravity, as well as their intertwined dynamics, emerge from degrees of freedom that have a priori nothing to do with what we call gravity or matter. Bose Einstein…

General Relativity and Quantum Cosmology · Physics 2008-12-03 Florian Girelli , Stefano Liberati , Lorenzo Sindoni

We show that some of the Josephson couplings of junctions arranged to form an inhomogeneous network undergo a non-perturbative renormalization provided that the network's connectivity is pertinently chosen. As a result, the zero-voltage…

Superconductivity · Physics 2007-05-23 P. Sodano , A. Trombettoni , P. Silvestrini , R. Russo , B. Ruggiero

We propose a new theoretical formalism which describes the Bose Einstein condensation of weakly interacting bosons with finite life time interacting with a thermal bath. We show that if a quasi-thermal distribution function of particles is…

Quantum Gases · Physics 2009-11-05 G. Malpuech , D. Solnyshkov

We present a theoretical model to describe the dynamics of Bose-Einstein condensates in anharmonic trapping potentials. To first approximation the center-of-mass motion is separated from the internal condensate dynamics and the problem is…

Statistical Mechanics · Physics 2009-11-07 H. Ott , J. Fortagh , C. Zimmermann

The properties of systems with Bose-Einstein condensate in external time-independent random potentials are investigated in the frame of a self-consistent stochastic mean-field approximation. General considerations are presented, which are…

Statistical Mechanics · Physics 2009-11-11 V. I. Yukalov , R. Graham

The interplay between matter particles and gauge fields in physical spaces with nontrivial geometries can lead to novel topological quantum matter. However, detailed microscopic mechanisms are often obscure, and unconventional spaces are…

We study the Bose--Einstein condensation in a tight-binding model with a hopping rate enhanced only on a surface. We show that this model exhibits two different critical phenomena depending on whether the hopping rate on the surface $t_s$…

Statistical Mechanics · Physics 2018-12-03 Hiroyoshi Nakano , Shin-ichi Sasa

The necessity of accurately taking into account the existence of nonequivalent operator representations, associated with canonical transformations, is discussed. It is demonstrated that Bose systems in the presence of the Bose-Einstein…

Statistical Mechanics · Physics 2009-11-11 V. I. Yukalov

We study Bose gases in $d$ dimensions, $d \ge 2$, with short-range repulsive pair interactions, at positive temperature, in the canonical ensemble and in the thermodynamic limit. We assume the presence of hard Poissonian obstacles and focus…

Mathematical Physics · Physics 2022-11-01 Joachim Kerner , Maximilian Pechmann

We investigate the properties of free bosons hopping on a star-comb network, discussing the single-particle spectrum and the main thermodynamic equilibrium properties: Bose-Einstein critical temperature, fraction of condensate, and spatial…

Statistical Mechanics · Physics 2009-11-11 F. P. Mancini , P. Sodano , A. Trombettoni

We develop our novel model of cosmology based on the Bose-Einstein condensation. This model unifies the Dark Energy and the Dark Matter, and predicts multiple collapse of condensation, followed by the final acceleration regime of cosmic…

Astrophysics · Physics 2009-06-23 Takeshi Fukuyama , Masahiro Morikawa , Takayuki Tatekawa

A two-mode Bose-Einstein condensate coupled by a high-frequency modulation field is found to display rich features. An effective stationary Hamiltonian approach reveals the emergence of additional degenerate eigenstates as well as new…

Quantum Physics · Physics 2009-11-13 Qi Zhang , Peter Hanggi , Jiangbin Gong

Small deviations from purely bosonic behavior of trapped atomic Bose-Einstein condensates are investigated with the help of the quon algebra, which interpolates between bosonic and fermionic statistics. A previously developed formalism is…

Soft Condensed Matter · Physics 2008-11-26 S. S. Avancini , J. R. Marinelli , G. Krein

Coupled coaxially stacked toroidal condensates with persistent currents suggest an appealing physical platform for the investigation of various phenomena related to interacting superflows from Josephson effects in the regime of weak…

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