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Chinese Physics Letters

Josephson Effect of Dilute Bose–Einstein Condensates in Laser-Modulated Double Wells

Yan Li, Min Liu, Mingsheng Zhan

Published Feb 19, 2007• 1 citation
Publisher

Abstract

The Josephson effect of Bose condensates with a weak link created by superposing a far-off-resonant red-detuned laser beam on a double-well potential is theoretically considered. The numerical simulations show that there would be clear Josephson effect for this sort of three-well system. The present work gives a feasible scheme to study a new type of weak link which is crucial to investigate experimentally the Josephson effect.

DOI
10.1088/0256-307x/24/3/024

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The Josephson effect of Bose condensates with a weak link created by superposing a far-off-resonant red-detuned laser beam on a double-well potential is theoretically considered. The numerical simulations show that there would be clear Josephson effect for this sort of three-well system. The present work gives a feasible scheme to study a new type of weak link which is crucial to investigate experimentally the Josephson effect.
In this paper, we have used a technique , when a weak link is created between two systems which have undergone some type of gauge symmetry breaking. In fact the Josephson effect has been observed in superfluid .Bose condensate atomic gases is generally expected. A system whose gauge symmetry has been spontaneously broken can be described by order parameter that behaves in much respect like a macroscopic function)(rΨ. For Bose Einstein Condensates of dilute alkali gases )(rΨis the wave function of the macroscopically occupied one atomic state
We propose an experiment that would demonstrate the dc and ac Josephson effects in two weakly linked Bose-Einstein condensates. We consider a time-dependent barrier, moving adiabatically across the trapping potential. The phase dynamics are governed by a "driven-pendulum" equation, as in current-driven superconducting Josephson junctions. At a critical velocity of the barrier (proportional to the critical tunneling current), there is a sharp transition between the dc and ac regimes. The signature is a sudden jump of a large fraction of the relative condensate population. Analytical results are compared with a numerical integration of the Gross-Pitaevskii equation, in an experimentally realistic situation.
The Josephson effect can be observed in a Bose-Einstein condensate in a double-well potential, which is attributed to the tunneling of bosons between two wells. We propose a multi-mode theory to investigate the dynamics of local excitations in a one-dimensional condensate in a double-well potential. We show that the system can be described by two independent two-mode models. The Josephson oscillation and the self-trapping of local collective excitations are predicted analytically and confirmed by numerical simulation.
In this thesis, I present the first experimental implementation of a Josephson junction for Bose-Einstein condensates. The weak link between two BECs constitutes the nonlinear generalization of the well known Josephson junction of weakly-coupled superconductors that are separated by a thin insulating barrier. In our experiment, the required overlap of two macroscopic wavefunctions is provided by loading a BEC into an optical double well potential. It is realized by a superposition of a one-dimensional optical lattice with a focused laser beam optical dipole trap. The tunneling dynamics between the two potential wells exhibits two distinct dynamical regimes. For small initial population imbalances of the two wells we observe nearly sinusoidal Josephson tunneling oscillations, which are characterized by an oscillating population and relative phase. The situation changes drastically, if the initial population imbalance is chosen above a critical value. In this case, resonant tunneling between the two wells is prohibited because the difference between the on-site particle interaction energies in the two wells exceeds the tunneling energy splitting. As a consequence, the atomic distribution becomes self-locked and the relative phase evolves unbound in time. This regime of prohibited tunneling, which has no analogon in superconducting Josephson junctions, is called “macroscopic quantum self-trapping”.
Abstract The Josephson effect, an important quantum supercurrent phenomenon, has been extensively studied in superconductors and superfluids. In this paper, we investigate the rich physics of one-dimensional Josephson junctions in a red-detuned optical lattice with sodium (Na) quantum gas. A one-dimensional Josephson array is formed by setting up an optical lattice using a red-detuned laser. By characterizing the dependence of Josephson oscillations of the lattice depth, we experimentally demonstrate the Josephson current. The lattice depth is controlled by altering the lattice power, and our observations are consistent with theoretical predictions. These findings offer valuable insights into quantum coherent transport and the intricate dynamics inherent to superfluidity.