Normal and superconducting currents through the Sachdev-Ye-Kitaev model

Abstract

We study the current driven by an applied voltage as a function of time through the Sachdev-Ye-Kitaev model when coupled to two normal or superconducting reservoirs. For normal leads, in the strong coupling limit and for small bias, the current through the Sachdev-Ye-Kitaev model, described by a quartic interaction term, reaches monotonically the stationarity, in contrast to the case of a disordered quadratic interaction where the current has a peak before reaching the stationary phase. For superconducting leads the currents have oscillations whose frequencies are determined by the gap and the voltage, and are suppressed in the strong coupling limit. Moreover, due to different short time scales between the normal and the oscillating part of the superconducting current, a peak appears before reaching the stationarity.

9 pages, 6 figures

References in corpus (5)

• Quantum quench of the Sachdev-Ye-Kitaev Model
• Lindbladian dynamics of the Sachdev-Ye-Kitaev model
• Evaporation dynamics of the Sachdev-Ye-Kitaev model
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Cited by in corpus (2)

• Quantum advantage in batteries for Sachdev-Ye-Kitaev interactions
• Josephson current through the SYK model