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Foundations of Physics

A model of quantum measurement in Josephson junctions

Roger A. Hegstrom, Fernando Sols

Published May 1, 1995• 5 citations
Publisher
DOI
10.1007/bf02059123

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The model of two coupled quantum pendula is studied and its suitability to describe Josephson junctions interacting with axions is analysed. It is shown that some physical features of one pendulum, not directly accessible, can be deduced by local measures on the other one, which is experimentally available. Such an effect can be exploited for the axion (the invisible pendulum) detection based on Josephson junctions (the accessible pendulum). The interaction between axion and Josephson junction can be enhanced at the resonance, if the axion and the junction frequencies match, and if the accessible system is prepared in the most convenient initial quantum state.

Chaos Solitons & Fractals•Jul 10, 2023•13 citations
For Josephson bicrystal YBaCuO junctions 3-1.5 μ\muμm in size, the response to an external signal was measured. Receivers with similar IcRNI_{c}R_{N}Ic​RN​ values at helium temperatures and different RNvalues were considered. The amplitudes of the Shapiro steps were measured for various external signal powers. The dependence of the output voltage noise on structure temperature was measured. It is shown that fluctuations of the critical current have the greatest influence on the output noise of the receiver. The volt-watt sensitivity and noise-equivalent power were evaluated for a 165 GHz external signal. Broadband classical detection of THz radiation by a YBaCuO Josephson junction (JJ) was studied based on resistively and capacitively shunted Josephson Junction model. Optimal temperature operating ranges for the use of each structure were shown.
We show that- in the quantum regime- a Josephson junction rhombi chain (i.e. a Josephson junction chain made by rhombi formed by joining 4 Josephson junctions) may be effectively mapped onto a quantum Hamiltonian describing Ising spins in a transverse magnetic field with open boundary conditions. Then, we elucidate how a Y-shaped network fabricated with 3 Josephson Junction Rhombi chains may be used as a quantum device realizing the two channel Kondo model recently proposed by Tsvelik. We point out that the emergence of a 2 channel Kondo effect in this superconducting network may be probed through the measurement of a pertinent Josephson current.
The model of two coupled quantum pendula is studied and its suitability to describe Josephson junctions interacting with axions is analysed. It is shown that some physical features of one pendulum, not directly accessible, can be deduced by local measures on the other one, which is experimentally available. Such an effect can be exploited for the axion (the invisible pendulum) detection based on Josephson junctions (the accessible pendulum). The interaction between axion and Josephson junction can be enhanced at the resonance, if the axion and the junction frequencies match, and if the accessible system is prepared in the most convenient initial quantum state.