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Open Quantum Systems Decoherence
Quantum Simulation
Berry phase and the Mandel parameter of the non-degenerate parametric amplifier
arXiv
Authors: J. C. Vega, E. Choreño, D. Ojeda-Guillén, R. D. Mota
Year
2023
Paper ID
53113
Status
Preprint
Abstract Read
~2 min
Abstract Words
89
Citations
N/A
Abstract
We study the non-degenerate parametric amplifier problem from an algebraic approach of the SU(1,1) group. We write the Hamiltonian of this problem in terms of the boson generators of the SU(1,1) group and the difference operator. We apply the tilting transformation to our results to exactly solve this Hamiltonian and obtain its energy spectrum and eigenfunctions. Then, by assuming that our Hamiltonian is an explicit function of time we calculate its Berry phase. Finally we obtain the Mandel Q-parameter of the photon numbers na and nb.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We study the non-degenerate parametric amplifier problem from an algebraic approach of the SU(1,1) group.
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