Mesoscopic Hamiltonian for Josephson traveling-wave parametric amplifiers
T. H. A. van der Reep
DOI 10.1103/PhysRevA.99.063838 · Physical Review A
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
We present a theory describing parametric amplification in a Josephson junction embedded transmission line. We will focus on the process of four-wave mixing under the assumption of an undepleted pump. However, the approach taken is quite general, such that a different parametric process or the process under different assumptions is easily derived. First the classical theory of the coupled-mode equations as presented by O'Brien et al. [O'Brien et al., Phys. Rev. Lett. 113, 157001 (2014)] is briefly reviewed. Then a derivation of the full quantum theory is given using mesoscopic quantization techniques in terms of discrete-mode operators. This results in a Hamiltonian that describes the process of parametric amplification. We show that the coupled-mode equations can be derived from this Hamiltonian in the classical limit and elaborate on the validity of the theory.
Similar papers
Mesoscopic Hamiltonian for Josephson travelling-wave parametric amplifiers
similarity 0.94T. H. A. van der Reep · 2018 · arXiv:1812.05907
Source status unknown — claims are unverified
Atomic Josephson parametric amplifier
similarity 0.89Vijay Pal Singh et al.
Source status unknown — claims are unverified
Microwave signatures of the Z2 and Z4 fractional Josephson effects
similarity 0.85P. L. S. Lopes et al.
Source status unknown — claims are unverified
Arrays of Josephson junctions in an environment with vanishing impedance
similarity 0.85M. Aunola et al.
Source status unknown — claims are unverified
Nonclassical photon-assisted transport in superconducting tunnel junctions
similarity 0.85Matthias Hübler et al.
Source status unknown — claims are unverified
Generation of multipartite entangled states in Josephson architectures
similarity 0.85Rosanna Migliore et al.
Source status unknown — claims are unverified