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Two effectively one-dimensional parallel coupled Bose-Einstein condensates in the presence of external potentials are studied. The system is modelled by linearly coupled Gross-Pitaevskii equations. In particular, grey-soliton-like solutions…

Pattern Formation and Solitons · Physics 2015-05-28 Muhammad I. Qadir , Hadi Susanto , Paul C. Matthews

The ultracold atoms are an ideal platform to implement atomtronics and Josephson junctions analogous to superconducting circuits. The collective modes of a Bose gas split by a potential barrier have been known. However, the role of barriers…

Quantum Gases · Physics 2025-10-07 Harsimranjit Kaur , Kuldeep Suthar

We study the spread complexity in two-mode Bose-Einstein condensations and unveil that the long-time average of the spread complexity $\overline{C}_{K}$ can probe the dynamical transition from self-trapping to Josephson oscillation. When…

Quantum Gases · Physics 2024-08-23 Bozhen Zhou , Shu Chen

Dynamical tunnelling is a quantum phenomenon where a classically forbidden process occurs, that is prohibited not by energy but by another constant of motion. The phenomenon of dynamical tunnelling has been recently observed in a sodium…

Josephson weak links in superconductors can be engineered such that the phase difference across the junction is $\pi$ ($\pi$-junction),leading to the reversal of the current. The conditions under which the analogous effect of supercurrent…

Condensed Matter · Physics 2007-05-23 E. Sakellari , N. P. Proukakis , M. Leadbeater , C. S. Adams

The dynamics of the population imbalance of bosons in a double-well potential is investigated from the point of view of many-body quantum mechanics in the framework of the two-mode model. For small initial population imbalances, coherent…

Josephson junctions are the basis for the most sensitive magnetic flux detectors, the definition of the unit volt by the Josephson voltage standard, and superconducting digital and quantum computing. They result from the coupling of two…

Quantum Gases · Physics 2021-06-02 Mario Vretenar , Ben Kassenberg , Shivan Bissesar , Chris Toebes , Jan Klaers

A model describing coherent quantum tunneling between two trapped Bose-Einstein condensates is shown to admit an exact solution. The spectrum is obtained by the algebraic Bethe ansatz. An asymptotic analysis of the Bethe ansatz equations…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Huan-Qiang Zhou , Jon Links , Ross H. McKenzie , Xi-Wen Guan

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 propose to dynamically control the conductivity of a Josephson junction composed of two weakly coupled one dimensional condensates of ultracold atoms. A current is induced by a periodically modulated potential difference between the…

Quantum Gases · Physics 2021-02-10 Beilei Zhu , Vijay Pal Singh , Junichi Okamoto , Ludwig Mathey

We have developed a theory of a Josephson junction formed by two tunnel-coupled Bose-Einstein condensates in a double-well potential in the regime of strong atom-atom interaction for an arbitrary total number $N$ of bosons in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. V. Averin , T. Bergeman , P. R. Hosur , C. Bruder

We investigate an atomic ensemble of interacting bosons trapped in a symmetric double well potential in contact with a single tightly trapped ion which has been recently proposed [R. Gerritsma et al., Phys. Rev. Lett. 109, 080402 (2012)] as…

Quantum Gases · Physics 2016-06-08 J. M. Schurer , R. Gerritsma , P. Schmelcher , A. Negretti

We report on the observation of the Josephson effect between two strongly interacting fermionic superfluids coupled through a thin tunneling barrier. We prove that the relative population and phase are canonically conjugate dynamical…

We discuss in detail the experimental investigation of thermally induced fluctuations of the relative phase between two weakly coupled Bose-Einstein condensates. In analogy to superconducting Josephson junctions, the weak coupling…

Other Condensed Matter · Physics 2007-05-23 R. Gati , J. Esteve , B. Hemmerling , T. B. Ottenstein , J. Appmeier , A. Weller , M. K. Oberthaler

We consider a macroscopic two-sate system based on persistent current states of a Bose-Einstein condensate (BEC) of interacting neutral atoms confined in a ring with a weak Josephson link. We demonstrate that macroscopic superpositions of…

Quantum Gases · Physics 2012-03-20 Dmitry Solenov , Dmitry Mozyrsky

We formulate the dynamics of three coupled Bose-Einstein condensates within a semiclassical scenario based on the standard boson coherent states. We compare such a picture with that of Ref. 1 and show how our approach entails a simple…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Roberto Franzosi , Vittorio Penna

We describe the behavior of two coupled Bose-Einstein condensates in time-dependent (TD) trap potentials and TD Rabi (or tunneling) frequency, using the two-mode approach. Starting from Bloch states, we succeed to get analytical solutions…

Quantum Physics · Physics 2015-06-26 E. I. Duzzioni , L. Sanz , S. S. Mizrahi , M. H. Y. Moussa

We study the collective dynamics of a driven two mode Bose-Hubbard model in the Josephson interaction regime. The classical phase-space is mixed, with chaotic and regular components, that determine the dynamical nature of the…

Quantum Gases · Physics 2015-05-18 Erez Boukobza , Michael G. Moore , Doron Cohen , Amichay Vardi

We investigate tunnel ferromagnetic Josephson junctions based on Superconductor-Insulator-thin superconductor-Ferromagnet-Superconductor multilayers. A comparative study of their electrodynamic properties is performed for junctions with…

The phenomenon of Bose-Einstein condensation of dilute gases in traps is reviewed from a theoretical perspective. Mean-field theory provides a framework to understand the main features of the condensation and the role of interactions…

Condensed Matter · Physics 2009-10-31 F. Dalfovo , S. Giorgini , L. P. Pitaevskii , S. Stringari