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arXiv:2009.11864 · Physical Review Research

Dynamical control of the conductivity of an atomic Josephson junction

Beilei Zhu, Vijay Pal Singh, Junichi Okamoto, Ludwig Mathey

Published Feb 5, 2021• 6 citations
arXivHTMLPDF

Abstract

This work proposes parametric driving of an atomic Josephson junction to dynamically control the conductivity of the system. This driving gives rise to enhancement or suppression of the amplitudes of the oscillation of the density difference $\mathrm{\ensuremath{\Delta}}\phantom{\rule{0}{0ex}}n$.

DOI
10.1103/physrevresearch.3.013111

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This work proposes parametric driving of an atomic Josephson junction to dynamically control the conductivity of the system. This driving gives rise to enhancement or suppression of the amplitudes of the oscillation of the density difference \mathrm{\ensuremath{\Delta}}\phantom{\rule{0}{0ex}}n.
We present optimal control strategies for the dc transport across a Josephson junction. Specifically, we consider a junction in which the Josephson coupling is driven parametrically, with either a bichromatic or a trichromatic driving protocol, and optimize the prefactor of the 1 / ω divergence of the imaginary part of the conductivity, which we refer to as the effective Josephson coupling J eff . We demonstrate that for an optimal bichromatic protocol an enhancement of J eff by a factor of 70 can be reached, and for an optimal trichromatic protocol an enhancement by a factor of 135. This is motivated by pump-probe experiments that have demonstrated light-enhanced superconductivity along the c axis of underdoped YBa 2 Cu 3 O 6 + δ (YBCO), where the junction serves as a minimal model for the c -axis coupling of superconducting layers. Therefore, the significant enhancement of superconductivity that we show for multifrequency protocols demonstrates that the advancement of pump-probe technology toward these strategies is highly desirable.
We study the dynamics of a driven atomic Josephson junction that we propose as a parametric amplifier. By periodically modulating the position of the barrier, we induce a small current across the junction, serving as our input signal. The pump field is implemented by modulating the barrier height at twice the Josephson plasma frequency. The resulting dynamics exhibit parametric amplification of the signal through nonlinear mixing between the signal and pump fields, which is encoded in a specific microscopic pattern of density waves and phase excitations that can be addressed within the experimental cold-atom capabilities. This work paves the way for tunable amplifiers in atomtronic circuits, with potential applications in several fields including precision measurements and quantum information processing. At the same time, our analysis provides the microscopic explanation of the general notion of parametric amplification occurring in nonlinear coherent devices.
We theoretically study a nonlinear Josephson oscillator (Josephson junction) in the effective potential, which form is a result of a driving current. We first consider the phase dynamics in the classical regime and then explore the problem in the quantum regime by solving the energy eigenvalue problem. Here we are going to pay special attention to the study of the effects of switching between the states of a nonlinear oscillator separated by a separatrix. For this purpose, we consider controlling the oscillator with a "two-color" current. In the classical view, the first high-frequency current component brings the oscillator to the bifurcation point. A second modulated high-frequency component produces a programmed system switching. A similar scenario is considered in the quantum regime.
In this paper, we investigate the dynamical synchronization of atomic populations in two Bosonic Josephson junctions(BJJs). The two BJJs are placed in two optical cavities, respectively. When there is no coupling between the two optical cavities, the dynamical evolution of the two BJJs is independent, and they can be in macroscopic quantum self-trapping regime or Josephson oscillation regime by controlling the strength of the interatomic interactions, respectively. However, when there is a coupling between the two optical cavities, we can adjust an external driving field to a specific value so that the two BJJs are dynamically synchronized even though the parameters of the two subsystems are different. We also found that it is possible to control the transition of the BJJ from the Josephson oscillation regime to the macroscopic quantum self-trapping regime by controlling the strength of the external driving field.