Advances in Radio Science
Advances in Radio Science
ARS
Articles | Volume 15
Articles | Volume 15
https://doi.org/10.5194/ars-15-131-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/ars-15-131-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
Articles | Volume 15
21 Sep 2017
 | 21 Sep 2017

Markovian Dynamics of Josephson Parametric Amplification

Waldemar Kaiser, Michael Haider, Johannes A. Russer, Peter Russer, and Christian Jirauschek

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Adv. Radio Sci., 15, 21–28, https://doi.org/10.5194/ars-15-21-2017,https://doi.org/10.5194/ars-15-21-2017, 2017

Cited articles

Anderson, P. W. and Rowell, J. M.: Probable Observation of the Josephson Superconducting Tunneling Effect, Phys. Rev. Lett., 10, 230–232, 1963.
Bardeen, J., Cooper, L. N., and Schrieffer, J. R.: Theory of Superconductivity, Phys. Rev., 108, 1175–1204, 1957.
Blackwell, L. A. and Kotzebue, K. L.: Semiconductor-Diode Parametric Amplifiers, Englewood Cliffs, NJ, Prentice Hall, 1961.
de Groot, S. R. and Mazur, P.: Grundlagen der Thermodynamik irreversibler Prozesse, Bibliographisches Institut, Mannheim, Germany, 1969.
Dirac, P. A.: The Quantum Theory of the Emission and Absorption of Radiation, P. Roy. Soc. Lond. A Mat., 114, 243–265, 1927.
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Short summary
Recent advances in Josephson junction based parametric amplifiers (JPA) have reached quantum limited amplification. In the quantum regime, dissipation and thermal fluctuations play a significant role. We outline the classical treatment of the Josephson parametric amplifier and derive a quantum mechanical formalism of the lossy JPA. We investigate the influence of dissipation and fluctuations on the dynamics of the amplification mode and show limitations of the applied quantum Langevin approach.
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