To verify the hypothesis about the common origin of the low-frequency 1/f noise and the quantum f noise recently measured in the Josephson charge qubits, we study the temperature dependence of the 1/f noise and decay of coherent oscillations. The T2 dependence of the 1/f noise is experimentally demonstrated, which supports the hypothesis. We also show that dephasing in the Josephson charge qubits off the electrostatic energy degeneracy point is consistently explained by the same low-frequency 1/f noise that is observed in the transport measurements.
We show that charge noise
SQ in Josephson qubits can be produced by fluctuating two level systems (TLS) with electric dipole moments in the substrate using a flat density of states. At high frequencies the frequency and temperature dependence of the charge noise depends on the ratio
J/Jc of the electromagnetic flux
J to the critical flux
Jc. It is not widely appreciated that TLS in small qubits can easily be strongly saturated with
J/Jc≫1. Our results are consistent with experimental conclusions that
SQ∼1/f at low frequencies and
SQ∼f at high frequencies.