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A quantum field-theoretical model, which describes spatially non-homogeneous repulsive Bose gas in an external harmonic potential is considered. Two-point thermal correlation functions of the Bose gas are calculated in the framework of the…

Mathematical Physics · Physics 2007-05-23 C. Malyshev , N. M. Bogoliubov

In this paper we consider a bosonic Josephson junction described by a two-mode Bose-Hubbard model, and we thoroughly analyze a quantum phase transition occurring in the system in the limit of infinite bosonic population. We discuss the…

Statistical Mechanics · Physics 2012-05-22 P. Buonsante , R. Burioni , E. Vescovi , A. Vezzani

A quantum field-theoretical model which describes spatially non-homogeneous one-dimensional non-relativistic repulsive Bose gas in an external harmonic potential is considered. We calculate the two-point thermal correlation function of the…

Statistical Mechanics · Physics 2018-09-19 N. M. Bogoliubov , C. Malyshev

We study the long time coherence dynamics of a two-mode Bose-Hubbard model in the Josephson interaction regime, as a function of the relative phase and occupation imbalance of an arbitrary coherent preparation. We find that the variance of…

Quantum Gases · Physics 2015-06-04 Christine Khripkov , Doron Cohen , Amichay Vardi

We consider a degenerate Bose gas confined in a double-well potential in interaction with a trapped ion in one dimension and investigate the impact of two relevant sources of imperfections in experiments on the system dynamics: ion motion…

Quantum Physics · Physics 2019-10-09 Mostafa R. Ebgha , Shahpoor Saeidian , Peter Schmelcher , Antonio Negretti

Spatial and momentum correlations are important in the analysis of the quantum states and different phases of trapped ultracold atom systems as a function of the strength of interatomic interactions. Identification and understanding of…

Quantum Gases · Physics 2017-12-08 Benedikt B. Brandt , Constantine Yannouleas , Uzi Landman

We investigate the superfluid dynamics of a Josephson junction beyond the mean-field description, incorporating the role of thermal fluctuations as well as quantum fluctuations. Using a formalism that accounts for the fluctuations in a…

Quantum Gases · Physics 2026-05-01 Andrea Bardin , Francesco Lorenzi , Luca Salasnich

The quantum dynamics of a one-dimensional bosonic Josephson junction is studied by solving the time-dependent many-boson Schr\"odinger equation numerically exactly. Already for weak interparticle interactions and on short time scales, the…

Quantum Gases · Physics 2009-11-24 Kaspar Sakmann , Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

An effective free energy of a two dimensional (i.e. large area) Josephson Junctions is derived, allowing for thermal fluctuations, for random magnetic fields and for external currents. We show by using replica symmetry breaking methods,…

Superconductivity · Physics 2009-10-30 Baruch Horovitz , Anatoly Golub

In this work we consider the non-equilibrium dynamics of two tunnel coupled bosonic gases which are created from the coherent splitting of a one-dimensional gas. The consequences of the tunneling both in the non-stationary regime as well as…

Quantum Gases · Physics 2017-08-02 Laura Foini , Thierry Giamarchi

The role of reduced dimensionality in high temperature superconductors is still under debate. Recently, ultracold atoms have emerged as an ideal model system to study such strongly correlated 2D systems. Here, we report on the realisation…

We study an atomic Josephson junction (AJJ) in presence of two interacting Bose-Einstein condensates (BECs) confined in a double well trap. We assume that bosons of different species interact with each other. The macroscopic wave functions…

Quantum Gases · Physics 2015-05-13 Giovanni Mazzarella , Marco Moratti , Luca Salasnich , Mario Salerno , Flavio Toigo

We investigate the static and dynamic properties of bosonic lattice systems in which condensed and Mott insulating phases co-exist due to the presence of a spatially-varying potential. We formulate a description of these inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Smitha Vishveshwara , Courtney Lannert

We present a series of experiments performed with two ultracold one-dimensional Bose gases (rubidium atoms) in a double well potential. Employing matter-wave interference, we can measure the spatially resolved phase difference between the…

Quantum Gases · Physics 2019-08-02 Thomas Schweigler

We analyze the effects of the temperature on a bosonic Josephson junction realized with ultracold and dilute atoms in a double-well potential. Starting from the eigenstates of the two-site Bose-Hubbard Hamiltonian, we calculate the…

Quantum Gases · Physics 2012-09-03 G. Mazzarella , L. Salasnich , F. Toigo

The interplay between coherent tunnel coupling and on-site interactions in dissipation-free bosonic systems has lead to many spectacular observations, ranging from the demonstration of number-phase uncertainty relation to quantum phase…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Dario Gerace , Hakan E. Tureci , A. Imamoglu , Vittorio Giovannetti , Rosario Fazio

Josephson junctions with an intrinsic phase shift of pi, so-called pi Josephson junctions, can be realized by a weak link of a d-wave superconductor with an appropriate boundary geometry. A model for the pairing potential of an according…

Superconductivity · Physics 2015-05-13 A. Gumann , C. Iniotakis , N. Schopohl

In this article we consider a bosonic Josephson junction, a model system composed by two coupled nonlinear quantum oscillators which can be implemented in various physical contexts, initially prepared in a product of weakly populated…

Quantum Physics · Physics 2018-06-05 Dionisis Stefanatos , Emmanuel Paspalakis

A numerical experiment based on a particle number-conserving quantum field theory is performed for two initially independent Bose-Einstein condensates that are coherently coupled at two temperatures. The present model illustrates ab initio…

Quantum Gases · Physics 2024-08-31 Alexej Schelle

We discuss the relaxation dynamics for a bosonic tunneling junction with two modes in the central potential well. We use a master equation description for ultracold bosons tunneling in the presence of noise and incoherent coupling processes…

Quantum Gases · Physics 2017-12-29 David Fischer , Sandro Wimberger