# Josephson oscillations in split one-dimensional Bose gases

@article{Nieuwkerk2020JosephsonOI, title={Josephson oscillations in split one-dimensional Bose gases}, author={Yuri D. van Nieuwkerk and J{\"o}rg Schmiedmayer and Fabian H L Essler}, journal={SciPost Physics}, year={2020} }

We consider the non-equilibrium dynamics of a weakly interacting Bose gas tightly confined to a highly elongated double well potential. We use a self-consistent time-dependent Hartree--Fock approximation in combination with a projection of the full three-dimensional theory to several coupled one-dimensional channels. This allows us to model the time-dependent splitting and phase imprinting of a gas initially confined to a single quasi one-dimensional potential well and obtain a microscopic… Expand

#### Figures from this paper

#### 5 Citations

Quantum quenches in an interacting field theory: full quantum evolution vs. semi-classical approximations

- Physics
- 2021

We develop a truncated Hamiltonian method to investigate the dynamics of the $(1+1)d~\phi^4$ theory following quantum quenches. The results are compared to two different semi-classical approaches,… Expand

Dissipative dynamics in the free massive boson limit of the sine-Gordon model

- Physics
- 2021

Ádám Bácsi, 2, ∗ Cătălin Paşcu Moca, 4 Gergely Zaránd, 5 and Balázs Dóra 6 MTA-BME Lendület Topology and Correlation Research Group, Budapest University of Technology and Economics, 1521 Budapest,… Expand

Hydrodynamics of weak integrability breaking

- Physics
- Journal of Statistical Mechanics: Theory and Experiment
- 2021

We review recent progress in understanding nearly integrable models within the framework of generalized hydrodynamics (GHD). Integrable systems have infinitely many conserved quantities and stable… Expand

Inhomogeneous quantum quenches in the sine-Gordon theory

- Physics
- 2021

We study inhomogeneous quantum quenches in the attractive regime of the sine–Gordon model. In our protocol, the system is prepared in an inhomogeneous initial state in finite volume by coupling the… Expand

Quenches in initially coupled Tomonaga-Luttinger Liquids: a conformal field theory approach

- Physics
- SciPost Physics
- 2021

We study the quantum quench in two coupled Tomonaga-Luttinger Liquids (TLLs), from the off-critical to the critical regime, relying on the conformal field theory approach and the known solutions for… Expand

#### References

SHOWING 1-10 OF 102 REFERENCES

Relaxation dynamics of two coherently coupled one-dimensional bosonic gases

- Physics
- 2017

Abstract
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… Expand

Relaxation to a Phase-Locked Equilibrium State in a One-Dimensional Bosonic Josephson Junction.

- Physics, Medicine
- Physical review letters
- 2018

An empirical model based on the analogy with the anharmonic oscillator is proposed to describe the effect of various experimental parameters on the nonequilibrium tunnel dynamics of two coupled one-dimensional Bose-Einstein quasicondensates deep in the Josephson regime. Expand

Nonequilibrium dynamics of coupled Luttinger liquids

- Physics
- 2015

In this work we consider the dynamics of two tunnel-coupled chains after a quench in the tunneling strength is performed and the two systems are allowed to evolve independently. We describe the form… Expand

Experimental evidence for the breakdown of a Hartree-Fock approach in a weakly interacting Bose gas.

- Physics, Medicine
- Physical review letters
- 2006

Numerical calculations based on Bogoliubov theory give an estimate of the crossover density in agreement with experimental results, and it is shown that a Hartree-Fock approach fails to predict the existence of the quasicondensate in the center of the cloud. Expand

Linear response theory for a pair of coupled one-dimensional condensates of interacting atoms

- Physics
- 2007

We use the quantum sine-Gordon model to describe the low-energy dynamics of a pair of coupled one-dimensional condensates of interacting atoms. We show that the nontrivial excitation spectrum of the… Expand

Josephson tunnelling of a phase-imprinted Bose?Einstein condensate in a time-dependent double-well potential

- Physics
- 2003

This paper discusses the feasibility of experimental control of the flow direction of atomic Bose–Einstein condensates in a double-well potential using phase imprinting. The flow is induced by the… Expand

Realization of a single Josephson junction for Bose–Einstein condensates

- Physics
- 2006

We report on the realization of a double-well potential for Rubidium-87 Bose-Einstein condensates. The experimental setup allows for the investigation of two different dynamical phenomena known for… Expand

Correlations and dynamics of tunnel-coupled one-dimensional Bose gases

- Physics
- 2019

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… Expand

Non-equilibrium coherence dynamics in one-dimensional Bose gases.

- Physics, Medicine
- Nature
- 2007

The experiments studying coherence dynamics show that 1D Bose gases are ideally suited for investigating one-dimensional systems, such as superconductors, quantum Hall systems, superfluid helium and spin systems. Expand

Hybrid Semiclassical Theory of Quantum Quenches in One-Dimensional Systems.

- Physics, Medicine
- Physical review letters
- 2017

A hybrid semiclassical method to study the time evolution of one-dimensional quantum systems in and out of equilibrium by a modified time-evolving block decimation method while treating orbital quasiparticle motion classically is developed. Expand