Propriedades estatísticas de fótons de micro-ondas gerados por uma junção túnel
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2022-10-30
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Universidade Federal de Goiás
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In this dissertation, we investigate the statistical properties of microwave photons generated
by a tunnel junction coupled to a microwave resonator. For that, we developed the master
equation formalism to calculate the statistical properties of (i) an electromagnetic field mode
coupled to a thermal reservoir and (ii) to a squeezed vacuum reservoir. Furthermore, we
derived the Hamiltonian of the tunnel junction coupled to a microwave resonator. This allows
us to derive the master equation for the tunnel junction coupled to a microwave resonator and
Confirm that (i) in the absence of ac voltage, the junction behaves as a thermal reservoir and
(ii) in the presence of an ac voltage oscillating at a frequency equal to twice the frequency of
the resonator, the junction behaves as a squeezed reservoir. Also we studied the tunnel
junction coupled to a microwave resonator subjected to ac voltage with a frequency equal to
three times the resonator frequency, theoretically demonstrating the possibility of generating
photon trios, which has already been explored experimentally, but which has yet to be has no
theoretical explanation for these experiments.
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BRUNO, M. Propriedades estatísticas de fótons de micro-ondas gerados por uma junção túnel. 2022. 60 f. Dissertação (Mestrado em Física) - Universidade Federal de Goiás, Goiânia, 2022.