Exact decoherence dynamics of 1/f noise

Abstract

In this paper, we investigate the exact decoherence dynamics of a superconducting resonator coupled to an electromagnetic reservoir characterized by $1/f$ noise at finite temperature, where a full quantum description of the environment with $1/{{f}^{x}}$ noise (with $x\approx 1$ ) 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 $1/f$ 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.

Keywords

• 1/f noise
• exact decoherence
• non-Markovian dynamics
• 03.65.Yz
• 03.67.Pp
• 42.50.Lc