Shapiro steps in driven atomic Josephson junctions

Abstract

We study driven atomic Josephson junctions realized by coupling two two-dimensional atomic clouds with a tunneling barrier. By moving the barrier at a constant velocity, dc and ac Josephson regimes are characterized by a zero and nonzero atomic density difference across the junction, respectively. Here, we monitor the dynamics resulting in the system when, in addition to the above constant velocity protocol, the position of the barrier is periodically driven. We demonstrate that the time-averaged particle imbalance features a step-like behavior that is the analog of Shapiro steps observed in driven superconducting Josephson junctions. The underlying dynamics reveals an intriguing interplay of the vortex and phonon excitations, where Shapiro steps are induced via suppression of vortex growth. We study the system with a classical-field dynamics method, and benchmark our findings with a driven circuit dynamics.

7+4 pages, 4+5 figures; To be published in PRL

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• Observation of Shapiro steps in an ultracold atomic Josephson junction
• Shapiro steps in strongly-interacting Fermi gases
• Designing Atomtronic Circuits via Superfluid Dynamics
• Realizing an Atomtronic AQUID in a Rotating-Box Potential
• Engineering Ponderomotive Potential for Realizing $\pi$ and $\pi /2$ Bosonic Josephson Junctions
• Josephson Dynamics in 2D Ring-shaped Condensates
• Static impurity in a mesoscopic system of SU($N$) fermionic matter-waves
• Synthetic fractional flux quanta in a ring of superconducting qubits
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• Atomic Josephson Parametric Amplifier
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• Shapiro resonances in ac-self-modulated exciton-polariton Josephson junctions