TY - GEN
T1 - A symbolic-numeric computation framework for bosonic operators
T2 - Quantum Sensing and Nano Electronics and Photonics XXI 2025
AU - Haider, Michael
AU - Seitner, Lukas
AU - Stowasser, Johannes
AU - Schreiber, Michael A.
AU - Rinderle, Michael
AU - Yuan, Yongjie
AU - Jirauschek, Christian
N1 - Publisher Copyright:
© 2025 SPIE.
PY - 2025
Y1 - 2025
N2 - A novel symbolic-numeric co-simulation approach is employed to derive a minimal set of expectation value equations for bosonic mode operators, which are then solved numerically. The Hamiltonian in this model incorporates free field propagation, nonlinear wave-mixing, coherent gain, and incoherent loss mechanisms. Although nonclassical light features have been observed in passive microcavity resonators, the coherent gain and waveguide losses in a quantum cascade laser (QCL) counteract the generation of entanglement between comb modes despite the QCL’s significant Kerr-like nonlinearity. Utilizing the developed symbolic-numerical co-simulation framework, we investigate higher-order quantum correlations among QCL frequency comb modes, potentially revealing nonclassical features in the emitted optical field. Our symbolic-numeric co-simulation approach is validated against analytic solutions available for a reminiscent problem, given by four-wave mixing interactions in Josephson traveling-wave parametric amplifiers.
AB - A novel symbolic-numeric co-simulation approach is employed to derive a minimal set of expectation value equations for bosonic mode operators, which are then solved numerically. The Hamiltonian in this model incorporates free field propagation, nonlinear wave-mixing, coherent gain, and incoherent loss mechanisms. Although nonclassical light features have been observed in passive microcavity resonators, the coherent gain and waveguide losses in a quantum cascade laser (QCL) counteract the generation of entanglement between comb modes despite the QCL’s significant Kerr-like nonlinearity. Utilizing the developed symbolic-numerical co-simulation framework, we investigate higher-order quantum correlations among QCL frequency comb modes, potentially revealing nonclassical features in the emitted optical field. Our symbolic-numeric co-simulation approach is validated against analytic solutions available for a reminiscent problem, given by four-wave mixing interactions in Josephson traveling-wave parametric amplifiers.
KW - parametric amplifier
KW - quantum cascade laser
KW - quantum theory
KW - symbolic-numeric framework
KW - traveling-wave parametric amplifier
UR - https://www.scopus.com/pages/publications/105004552690
U2 - 10.1117/12.3043228
DO - 10.1117/12.3043228
M3 - Conference contribution
AN - SCOPUS:105004552690
T3 - Proceedings of SPIE - The International Society for Optical Engineering
BT - Quantum Sensing and Nano Electronics and Photonics XXI
A2 - Razeghi, Manijeh
A2 - Khodaparast, Giti A.
A2 - Vitiello, Miriam S.
PB - SPIE
Y2 - 26 January 2025 through 30 January 2025
ER -