54 research outputs found

    Pure dephasing in flux qubits due to flux noise with spectral density scaling as 1/fα1/ f^\alpha

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    For many types of superconducting qubits, magnetic flux noise is a source of pure dephasing. Measurements on a representative dc superconducting quantum interference device (SQUID) over a range of temperatures show that SΦ(f)=A2/(f/1Hz)αS_\Phi(f) = A^2/(f/1 \hbox{Hz})^\alpha, where SΦS_\Phi is the flux noise spectral density, AA is of the order of 1 μΦ0 Hz−1/2\mu\Phi_0 \, \hbox{Hz}^{-1/2} and 0.61≤α≤0.950.61 \leq \alpha \leq 0.95; Φ0\Phi_{0} is the flux quantum. For a qubit with an energy level splitting linearly coupled to the applied flux, calculations of the dependence of the pure dephasing time τϕ\tau_\phi of Ramsey and echo pulse sequences on α\alpha for fixed AA show that τϕ\tau_\phi decreases rapidly as α\alpha is reduced. We find that τϕ\tau_\phi is relatively insensitive to the noise bandwidth, f1≤f≤f2f_1 \leq f \leq f_2, for all α\alpha provided the ultraviolet cutoff frequency f2>1/τϕf_2 > 1/\tau_\phi. We calculate the ratio τϕ,E/τϕ,R\tau_{\phi,E} / \tau_{\phi,R} of the echo (EE) and Ramsey (RR) sequences, and the dependence of the decay function on α\alpha and f2f_2. We investigate the case in which SΦ(f0)S_\Phi(f_0) is fixed at the "pivot frequency" f0≠1f_0 \neq 1 Hz while α\alpha is varied, and find that the choice of f0f_0 can greatly influence the sensitivity of τϕ,E\tau_{\phi,E} and τϕ,R\tau_{\phi,R} to the value of α\alpha. Finally, we present calculated values of τϕ\tau_\phi in a qubit corresponding to the values of AA and α\alpha measured in our SQUID.Comment: 7 pages, 8 figures, 1 tabl

    Detection and measurement of nuclear radiation

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    The technique of radiation characterization is reviewed, with particular emphasis on new methods and their practi-cal aspects. Each type of detector is discussed in terms of its principle of operation and its applicability to various problems in counting and spectrometry. Auxiliary electronic instrumentation and the function of each instrument are described in general terms. Other topics discussed include low-level counting, absolute counting, and the mounting of radioactive sources. (137 references.) (C.H.

    Detection and measurement of nuclear radiation /

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    Includes bibliographical references.Mode of access: Internet
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