Abstract
In this paper, we investigate the exact decoherence dynamics of a superconducting resonator coupled to an electromagnetic reservoir characterized by noise at finite temperature, where a full quantum description of the environment with noise (with ) is presented. The exact master equation and the associated non-equilibrium Greenʼs functions are solved exactly for such an open system. We show a clear signal of non-Markovian dynamics induced purely by noise. Our analysis is also applicable to other nano/micro mechanical oscillators. Finally, we demonstrate the non-Markovian decoherence dynamics of photon number superposition states using Wigner distribution that could be measured in experiments.
Highlights
Low frequency noise sprectrum S(f ) ∼ 1/f was discovered in vacuum tubes and later observed in a variety of systems [1,2,3,4]
We investigate in this paper the exact decoherence dynamics of a superconducting resonator coupled to an electromagnetic reservoir characterized by the 1/f frequency noise, where a full quantum description of the environment with 1/f noise is presented
Before we explore the decoherence dynamics of a superconducting resonator or a nanomechanical resonator, induced by the 1/f noise, it is important to justify the conditions for the occurrence of 1/f noise in a given electromagnetic reservoir characterized by the spectral density J(ω)
Summary
Low frequency noise sprectrum S(f ) ∼ 1/f was discovered in vacuum tubes and later observed in a variety of systems [1,2,3,4]. Dissipation and fluctuation dynamics through the exact solution of u(t) and v(t) are presented in Figure 2 for 1/f x noise (10) with x = 0.25, 0.5, 0.75, and 0.9999, respectively, corresponding to the four different curves in each graph It shows how dissipation and fluctuation change as the reservoir spectra approach to low-frequency-dominated regime. This can be seen from Eq (7) that the initial particle distribution function n(ω, T ) induces explicitly frequency dependence to the memory kernel g(τ − τ ), and in particular, this frequency dependence becomes stronger in the low frequency regime ∼ 1/ω This distinct oscillatory feature of v(t) persists even at higher coupling strength (η = 10−2), it has a long time decay behavior, see figure 2(d). We show here, for the first time, the physical mechanism of non-Markovian dynamics induced by 1/f noise even though the system-environment coupling is very small
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
