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The stationary and highly non-stationary resonant dynamics of the harmonically forced pendulum are described in the framework of a semi-inverse procedure combined with the Limiting Phase Trajectory concept. This procedure, implying only…

Chaotic Dynamics · Physics 2016-04-25 Leonid I. Manevitch , Valeri V. Smirnov , Francesco Romeo

We study the interactions between two atomic species in a binary Bose-Einstein condensate to revisit the conditions for miscibility, oscillatory dynamics between the species, steady state solutions and their stability. By employing a…

Quantum Gases · Physics 2010-12-09 R. Navarro , R. Carretero-Gonzalez , P. G. Kevrekidis

We study the population dynamics of a Bose-Einstein condensate in a double-well potential throughout the crossover from Josephson dynamics to hydrodynamics. At barriers higher than the chemical potential, we observe slow oscillations well…

In the presence of an AC drive, multiterminal Josephson junctions exhibit the inverse AC Josephson effect, where the oscillations of the superconducting phase of each junction can lock onto one another or onto the external drive. The…

Superconductivity · Physics 2022-11-23 François Amet , Sara Idris , Aeron McConnell , Brian Opatosky , Ethan Arnault

We present a stability analysis of an interacting two-species Bose-Einstein condensate driven by a quantized field in the semi-classical limit. Transitions from Rabi to Josephson dynamics are identified depending on both the inter-atomic…

Quantum Physics · Physics 2011-08-22 B. M. Rodríguez-Lara , Ray-Kuang Lee

A microscopic model of a Josephson junction between two superconducting plates is proposed and analysed. For this model, the nonequilibrium steady state of the total system is explicitly constructed and its properties are analysed. In…

Mathematical Physics · Physics 2009-11-10 J. Lauwers , A. Verbeure

We explore analytically the quantum dynamics of a point mass pendulum using the Heisenberg equation of motion. Choosing as variables the mean position of the pendulum, a suitably defined generalised variance and a generalised skewness, we…

Chaotic Dynamics · Physics 2019-10-16 Rohit Chawla , Soumyabrata Paul , Jayanta K. Bhattacharjee

We study the mass exchange between two rotating, quantum massive vortices in a two-component Bose-Einstein condensate. The vortices, in the majority component, exhibit a filled core, where the in-filling minority component undergoes a…

Quantum Gases · Physics 2024-11-27 Alice Bellettini , Andrea Richaud , Vittorio Penna

We study the dynamics of one-dimensional bosons trapped in a box potential, in the presence of a barrier creating a tunable weak-link, thus realizing a one dimensional Bose Josephson junction. By varying the initial population imbalance and…

Quantum Gases · Physics 2021-08-25 Abhik Kumar Saha , Romain Dubessy

The Bose--Hubbard dimer model is a celebrated fundamental quantum mechanical model that accounts for the dynamics of bosons at two interacting sites. It has been realized experimentally by two coupled, driven and lossy photonic crystal…

Chaotic Dynamics · Physics 2021-05-12 Andrus Giraldo , Neil G. R. Broderick , Bernd Krauskopf

We analyze a perturbation of the boundary Sine-Gordon model where two boundary terms of different periodicities and scaling dimensions are coupled to a Kondo-like spin degree of freedom. We show that, by pertinently engineering the coupling…

Superconductivity · Physics 2015-05-18 Domenico Giuliano , Pasquale Sodano

Motivated by recent experiments, where a voltage biased Josephson junction is placed in series with a resonator, the classical dynamics of the circuit is studied in various domains of parameter space. This problem can be mapped onto the…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 S. Meister , M. Mecklenburg , V. Gramich , J. T. Stockburger , J. Ankerhold , B. Kubala

We study a system of non-identical bistable particles that is driven by a dynamical constraint and coupled through a non-local mean-field. Assuming piecewise affine constitutive laws we prove the existence of traveling wave solutions and…

Analysis of PDEs · Mathematics 2023-03-14 Michael Herrmann , Barbara Niethammer

We analyze the evolution of an entangled many-body state in a Josephson tunneling junction. A N00N state, which is a superposition of two complementary Fock states, appears in the evolution with sufficient probability only for a moderate…

Quantum Gases · Physics 2017-12-21 K. Ziegler

Cold atoms in cavity provides a new platform for exploring exotic many-body phases. Here we explore the dynamics of a two-component condensate coupled to a finesse cavity, in which the Raman coupling is mediated by pumping laser and cavity…

Quantum Gases · Physics 2018-07-17 Yue-xin Huang , Zhen Zheng , Wei Feng Zhuang , Guang-Can Guo , Ming Gong

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

We consider an ultracold bosonic binary mixture confined in a one-dimensional double-well trap. The two bosonic components are assumed to be two hyperfine internal states of the same atom. We suppose that these two components are spin-orbit…

Quantum Gases · Physics 2014-06-17 M. A. Garcia-March , G. Mazzarella , L. Dell'Anna , B. Juliá-Díaz , L. Salasnich , A. Polls

The quantum dynamics of one-dimensional bosonic Josephson junctions with attractive and repulsive interparticle interactions is studied using the Bose-Hubbard model and by numerically-exact computations of the full many-body Hamiltonian. A…

Quantum Gases · Physics 2010-07-28 Kaspar Sakmann , Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

We present a scheme for engineering the extended two-component Bose-Hubbard model using polariton condensate supported by optical microcavity. Compared to the usual two-component Bose-Hubbard model with only Kerr nonlinearity, our model…

Quantum Physics · Physics 2015-06-22 Yong-Chang Zhang , Xiang-Fa Zhou , Guang-Can Guo , Xingxiang Zhou , Han Pu , Zheng-Wei Zhou

The dynamics of a Bose-Einstein condensate is studied theoretically in a combined periodic plus harmonic external potential. Different dynamical regimes of stable and unstable collective dipole and Bloch oscillations are analysed in terms…

Other Condensed Matter · Physics 2007-05-23 Joachim Brand , Andrey R. Kolovsky