Fig. 6: Spin-currents from discrete time crystal (DTC) and time quasi-crystal (DTQC).
From: Signatures of discrete time-crystallinity in transport through an open Fermionic chain
Time evolution of the spin currents Js(t), in pico-ampere (pA), as a function of the dimensionless time t/T showing the signature of DTC in the long-time limit for three values of system-lead couplings (a) γ = 10−5ω (very weak system-lead coupling), (b) γ = 10−3ω (moderate system-lead coupling), and (c) γ = ω/50 (strong system-lead coupling). d–f correspond to discrete Fourier transform (DFT) \({{{{{{{\mathcal{F}}}}}}}}[{J}_{s}(t)]\) of the spin current Js(t) as a function of the frequency domain variable f/ω corresponding to (a–c) respectively, showing the DTC peak at \(f=\frac{5\omega }{3}\). Time evolution of the spin currents Js(t), in pA, as a function of the dimensionless time t/T showing the signature of DTQC in the long-time limit for three values of system-lead couplings (g) γ = 10−5ω (very weak system-lead coupling), h γ = 10−3ω (moderate system-lead coupling), and (i) γ = ω/50 (strong system-lead coupling). j–l correspond to DFT \({{{{{{{\mathcal{F}}}}}}}}[{J}_{s}(t)]\) of the spin current as a function of the frequency domain variable f/ω corresponding to (g–i), respectively, showing the DTQC peak at \(f=\sqrt{2}\omega\).
