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The coherence properties of phase fluctuating Bose-Einstein condensates are studied both theoretically and experimentally. We derive a general expression for the N-particle correlation function of a condensed Bose gas in a highly elongated…

Soft Condensed Matter · Physics 2009-11-10 L. Cacciapuoti , D. Hellweg , M. Kottke , T. Schulte , K. Sengstock , W. Ertmer , J. J. Arlt , L. Santos , M. Lewenstein

We study the Josephson effect between atomic Bose-Einstein condensates. By drawing on an electrostatic analogy, we derive a semiclassical functional expression for the three-dimensional Josephson coupling energy in terms of the condensate…

Condensed Matter · Physics 2009-10-30 Ivar Zapata , Fernando Sols , Anthony J. Leggett

Starting from a quantum two-mode Bose-Hubbard Hamiltonian we determine the ground state properties, momentum distribution and dynamical evolution for a Bose Josephson junction realized by an ultracold Bose gas in a double-well trap. Varying…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. Ferrini , A. Minguzzi , F. W. J. Hekking

We present an analytical description of the tunneling dynamics between two coupled Bose-Einstein condensates in the Josephson regime. The model relies on the classical analogy with a rigid pendulum and focuses on two dynamical modes of this…

Quantum Physics · Physics 2018-12-31 Marine Pigneur , Jörg Schmiedmayer

We study the interplay between the dynamics of a Bose-Einstein condensate in a double-well potential and that of an optical cavity mode. The cavity field is superimposed to the double-well potential and affects the atomic tunneling…

Quantum Physics · Physics 2015-02-04 G. Szirmai , G. Mazzarella , L. Salasnich

We study the dynamics of matter waves in an effectively one-dimensional Bose-Einstein condensate in a double well potential. We consider in particular the case when one of the double wells confines excited states. Similarly to the known…

Quantum Gases · Physics 2015-05-19 H. Susanto , J. Cuevas , P. Kruger

We develop a computationally tractable method for calculating correlation functions of the finite temperature trapped Bose gas that includes the effects of s-wave interactions. Our approach uses a classical field method to model the low…

Other Condensed Matter · Physics 2008-09-11 A. Bezett , E. Toth , P. B. Blakie

We study the non-equilibrium quench dynamics from free to hard-core one-dimensional bosons in the presence of a hard-wall confining potential. We characterise the density profile and the two-point fermionic correlation function in the…

Quantum Gases · Physics 2014-11-17 Paolo P. Mazza , Mario Collura , Márton Kormos , Pasquale Calabrese

The dynamics of two traps with ultracold atoms and connected by Josephson type coupling, is shown to exhibit a transition from dispersive dynamics to localized coherent oscillations. This transition is controlled by coupling strength and…

Statistical Mechanics · Physics 2007-05-23 N. M. Bogoliubov , J. Timonen , M. B. Zvonarev

Using a new cluster Monte Carlo algorithm, we study the phase diagram and critical properties of an interacting pair of resistively shunted Josephson junctions. This system models tunneling between two electrodes through a small…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Philipp Werner , Gil Refael , Matthias Troyer

Spatially resolved relative phase measurement of two adjacent 1D Bose gases is enabled by matter-wave interference upon free expansion. However, longitudinal dynamics is typically ignored in the analysis of experimental data. We provide an…

We study Josephson oscillations of two strongly correlated one-dimensional bosonic clouds separated by a localized barrier. Using a quantum-Langevin approach and the exact Tonks-Girardeau solution in the impenetrable-boson limit, we…

Quantum Gases · Physics 2018-09-03 J. Polo , V. Ahufinger , F. W. J. Hekking , A. Minguzzi

We study the subgap spectrum of the interacting single-level quantum dot coupled between two superconducting reservoirs, forming the Josephson-type circuit, and additionally hybridized with a metallic normal lead. This system allows for the…

Mesoscale and Nanoscale Physics · Physics 2017-01-05 Tadeusz Domański , Martin Žonda , Vladislav Pokorný , Grzegorz Górski , Václav Janiš , Tomáš Novotný

We study the quantum phase transition properties of a three-dimensional periodic array of Josephson junctions with charging energy that includes both the self and mutual junction capacitances. We use the phase fluctuation algebra between…

Superconductivity · Physics 2016-08-31 T. K. Kopec , Jorge V. Jose

We study bosonic atoms with two internal states in artificial gauge potentials whose strengths are different for the two components. A series of topological phases for such systems is proposed using the composite fermion theory and the…

Quantum Gases · Physics 2016-08-03 Ying-Hai Wu , Tao Shi

The interplay of quantum statistics, interactions and temperature is studied within the framework of the bosonic two-component theory with repulsive delta-function interaction in one dimension. We numerically solve the thermodynamic Bethe…

Quantum Gases · Physics 2011-09-05 Antoine Klauser , Jean-Sébastien Caux

A superconductor/normal metal/superconductor Josephson junction is a coherent electron system where the thermodynamic entropy depends on temperature and phase difference across the weak-link. Here, exploiting the phase-temperature…

Mesoscale and Nanoscale Physics · Physics 2019-03-04 Francesco Vischi , Matteo Carrega , Pauli Virtanen , Elia Strambini , Alessandro Braggio , Francesco Giazotto

We study the thermodynamic properties of a superconductor/normal metal/superconductor Josephson junction {in the short limit}. Owing to the proximity effect, such a junction constitutes a thermodynamic system where {phase difference},…

Superconductivity · Physics 2019-10-16 Francesco Vischi , Matteo Carrega , Alessandro Braggio , Pauli Virtanen , Francesco Giazotto

The Josephson effect is a prominent phenomenon of quantum supercurrents that has been widely studied in superconductors and superfluids. Typical Josephson junctions consist of two real-space superconductors (superfluids) coupled through a…

We study the measurement of the position of atoms as a means to estimate the relative phase between two Bose-Einstein condensates. First, we consider $N$ atoms released from a double-well trap, forming an interference pattern, and show that…

Quantum Gases · Physics 2015-05-20 Jan Chwedenczuk , Francesco Piazza , Augusto Smerzi