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 the $1/f$ 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 Green's 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 another 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.

arXiv comment8 pages, 5 figures (Accepted for publication in New J. Phys.)

References in corpus (34)

• Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
• Atomic physics and quantum optics using superconducting circuits
• Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
• 1/f noise: implications for solid-state quantum information
• Reconstruction of non-classical cavity field states with snapshots of their decoherence
• Decoherence of flux qubits due to 1/f flux noise
• General non-Markovian dynamics of open quantum systems
• Decoherence and 1/f noise in Josephson qubits
• Charge echo in a Cooper-pair box
• On measures of non-Markovianity: divisibility vs. backflow of information
• Non-Markovian quantum dynamics: local versus non-local
• Model for l/f Flux Noise in SQUIDs and Qubits
• 1/f Flux Noise in Josephson Phase Qubits
• Noise Properties of Superconducting Coplanar Waveguide Microwave Resonators
• Low-frequency noise as a source of dephasing of a qubit
• Non-Gaussian low-frequency noise as a source of qubit decoherence
• Dephasing of a superconducting flux qubit
• Decoherence in qubits due to low-frequency noise
• Noise and decoherence in quantum two-level systems
• Low-noise top-gate graphene transistors
• Initial decoherence in solid state qubits
• Dynamics of quantum correlations in colored environments
• Fluctuations of $1/f$ noise and the low frequency cutoff paradox
• Dynamics of open quantum systems with initial system-reservoir correlations
• Non-Markovianity of colored noisy channels
• Temperature square dependence of the low frequency 1/f charge noise in the Josephson junction qubits
• Exact non-Markovian cavity dynamics strongly coupled to a reservoir
• Noise in Al single electron transistors of stacked design
• Decoherence Dynamics of Complex Photon States in a Superconducting Circuit
• Pure dephasing in flux qubits due to flux noise with spectral density scaling as $1/f^{\alpha }$
• Decoherence suppression of open quantum systems through a strong coupling to non-Markovian reservoirs
• 1/f noise of Josephson-junction-embedded microwave resonators at single photon energies and millikelvin temperatures
• Correcting low-frequency noise with continuous measurement
• Exact dynamics and thermalization of an open bosonic quantum system in presence of a quantum phase transition induced by the environment

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• Invariance of success probability in Grover's quantum search under local noise with memory