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Thermal magnetic noise in rf SQUIDS coupled to ferromagnetic cores

Journal Article · · J. Appl. Phys.; (United States)
DOI:https://doi.org/10.1063/1.342862· OSTI ID:6404977
We present a simple model for the thermal magnetic noise in a rf SQUID coupled to a ferromagnetic core via a superconducting dc flux transformer. We show that, under conditions that are almost always fulfilled in practice, the coupling to the core can be described in terms of a SQUID frequency-dependent complex inductance L/sub s/ (..omega..). This inductance reduces to an ordinary, frequency-independent real value above a roll-off frequency ..omega../sub c/ . To this inductance, a Nyquist flux noise generator is associated, with spectral density S/sup '//sup 2//sub phi//sub i/(..omega..) = -4k/sub B/T Im(L/sub s/(..omega..))/ ..omega.., where k/sub B/ is the Boltzmann constant, T the temperature, and Im(L/sub s/ (..omega..)) the imaginary part of L/sub s/ (..omega..). If ..omega../sub c/ <<..omega../sub rf/ , with ..omega../sub rf/ the frequency of the rf pump, then the response of the SQUID to low-frequency signals is not modified by the coupling to the core, while the above Nyquist noise acts as an additive input noise. We experimentally demonstrate the model for a SQUID coupled to a toroidal core.
Research Organization:
Dipartimento di Fisica, Universita di Trento, and Istituto Nazionale di Fisica Nucleare, Gruppo di Trento, I-38050, Povo, Trento, Italy
OSTI ID:
6404977
Journal Information:
J. Appl. Phys.; (United States), Journal Name: J. Appl. Phys.; (United States) Vol. 65:5; ISSN JAPIA
Country of Publication:
United States
Language:
English