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Correlation spectroscopy in electromagnetically induced transparency condition: dynamical regime and sidebands resonances in cold atoms

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Author(s):
Hans Marin Florez
Total Authors: 1
Document type: Doctoral Thesis
Press: São Paulo.
Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
Defense date:
Examining board members:
Marcelo Martinelli; Arturo Antonio Lezama Astigarraga; Philippe Wilhelm Courteille; Arnaldo Gammal; José Tito da Luz Mendonça
Advisor: Marcelo Martinelli
Abstract

We studied the intensity correlation spectroscopy of two lasers beams with excess of phase noise in electromagnetically induced transparency (EIT) condition in cold rubidium atoms. In particular, we analyzed three aspects of correlation spectroscopy. In the first one, as a theoretical approach, I proposed a perturbative treatment for the atomic dynamics in order to calculate the correlation spectrum. We show that for electromagnetic fields with low phase noise, the first order term of the expanssion is sufficient for a complete description of the system. However, when the fields present excess of phase noise, it is shown that higher order terms are necessary to describe the system completely. The perturbative approach allows the contruction of an analytical expression which maps the correlation spectrum in the frequency domain, with the absorptive and dispersive properties of the atomic medium.\\\\ In the experimental part, we analyze two different situations for the correlation spectroscopy. In the first one, was the correlation spectroscopy for different values of frequency detuning with respect to the atomic resonance. We show for the first time that the correlation has resonances at the exactly sideband\'s frequencies, if the light fields optical frequencies are detuned from the natural spectral width given by the spontaneous emission. Our experimental results are described satisfactorily by the perturbative model for the correlation set in the frequency domain. Furthermore, we show that under certain conditions, the perturbative contains our heuristic model for the correlation function $g^2(0)$ in the time domain, and it is a valid approximation to describe correlation between fields.\\\\ The third aspect studied in this work refers to the dynamical effects on the correlation spectroscopy. We investigate the transient evolution of the atomic system due to the scattering forces that light exerts on the atoms, inducing a spectral asymmetry in the correlation, appearing as an \'\'hysteresis effect\". However, for fields within the transparency window, we show that the system is insensitive to the effect of such forces. This is the first observation of the dynamical effect in the correlation spectroscopy. Thus, we show that correlation spectroscopy becomes a high-precision tool to detect dynamical effects in cold atoms, because such effects escape from the simple observation in the standard transmission spectroscopy. (AU)

FAPESP's process: 11/22410-0 - Quantum information processing in continuous variables
Grantee:Hans Marin Florez
Support Opportunities: Scholarships in Brazil - Doctorate