Amplitude modulated Bloch oscillations of photon probability distribution in a cavity–atom system

E-ISSN： 1361-6455|48|7|75402-75409

ISSN： 0953-4075

Source： Journal of Physics B: Atomic, Molecular and Optical Physics, Vol.48, Iss.7, 2015-04, pp. : 75402-75409

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Abstract

We study the dynamics of the Rabi Hamiltonian in the medium coupling regime with &$left| g/omega right|sim 0.07$;, where g is the atom-field coupling constant and ω is the field frequency, for the quantum state with average photon number &$bar{n}sim {{10}^{4}}$;. We map the original Hamiltonian to an effective one, which describes a tight-binding chain subjected to a staggered linear potential. It is shown that the photon probability distribution of a Gaussian-type state exhibits amplitude-modulated Bloch oscillations (BOs), which are a superposition of two conventional BOs with a half-BO-period delay between them and are essentially another type of Bloch–Zener oscillation. The probability transition between the two BOs can be controlled and suppressed by the ratio &$gsqrt{{bar{n}}}/omega $;, as well as the in-phase resonant oscillating atomic frequency Ω (t), leading to multiple zero-transition points.