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arXiv:2205.01900 · Physical Review A

Resonant enhancement of particle emission from a parametrically driven condensate in a one-dimensional lattice

L. Q. Lai, Y. B. Yu, Erich J. Mueller

Published Sep 2, 2022• 5 citations
arXivHTMLPDF

Abstract

Motivated by recent experiments, we investigate particle emission from a Bose-Einstein condensate in a one-dimensional lattice, where the interaction strength is periodically modulated. The modulated interactions parametrically excite a collective mode, leading to density oscillations. These collective oscillations in turn drive particle emission. This multistep process amplifies the drive, producing larger particle jets. We find that the amplitude dependence of the emission rate has a characteristic threshold behavior, as seen in experiments.

DOI
10.1103/physreva.106.033302

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Abstract Emission of matter-wave jets from a parametrically driven condensate has attracted significant experimental and theoretical attention due to the appealing visual effects and potential metrological applications. In this work, we investigate the collective particle emission from a Bose–Einstein condensate confined in a one-dimensional lattice with periodically modulated interparticle interactions. We give the regimes for discrete modes, and find that the emission can be distinctly suppressed. The configuration induces a broad band, but few particles are ejected due to the interference of the matter waves. We further qualitatively model the emission process and demonstrate the short-time behaviors. This engineering provides a way to manipulate the propagation of particles and the corresponding dynamics of condensates in lattices, and may find application in the dynamical excitation control of other nonequilibrium problems with time-periodic driving.
We investigate the nonlinear dynamics of a Bose-Einstein condensate trapped in a double-well potential of a one-dimensional lattice, where the interatomic interactions are periodically modulated in time. In the typical case of a symmetric double-well, we observe collective particle emission under resonant driving, where the excitation regimes are explicitly constrained by the interplay between the drive strength and the hopping amplitude. By introducing a depth asymmetry between the wells, we find that moderate bias specifically enhances the emission rate, while large asymmetry suppresses it. The particle jets can be further controlled by modulating the hopping amplitudes, where the emission is weakened for finite hopping imbalances. These results outline the roles of asymmetry and external driving in precisely manipulating quantum many-body transport, and may offer insights into the design of atomtronic devices.
Time-periodic driving has been an effective tool in the field of nonequilibrium quantum dynamics, which enables precise control of the particle interactions. We investigate the collective emission of particles from a Bose–Einstein condensate in a one-dimensional lattice with periodic drives that are separate in modulation amplitudes and relative phases. In addition to the enhancement of particle emission, we find that amplitude imbalances lead to energy shift and band broadening, while typical relative phases may give rise to similar gaps. These results offer insights into the specific manipulations of nonequilibrium quantum systems with tone-varying drives.
Abstract Particle emission from a Bose‐Einstein condensate with periodically modulated interactions is investigated in a 1D lattice. Within perturbative analysis, which leads to instabilities for discrete modes, the main regimes are obtained where the system can emit a large particle jet, and the distinctly intermittent rather than continuous emission is found. The time evolution of the trapped particles exhibits a stair‐like decay, and a larger drive induces a more significant intermittency. This study further sheds light on the dynamics of the stimulating process, and demonstrates that instead of a real suspension, the intermittency represents a build‐up stage of the system. The theoretical framework might be generalized to the explorations on multiple‐site systems with analogous configurations and couplings, and offer new insights into other fundamental nonequilibrium problems.
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