Nonclassical effects in cold trapped ions inside a cavity

Abstract

We investigate the dynamics of a cold trapped ion coupled to the quantized field inside a high-finesse cavity, considering exact resonance between the ionic internal levels and the field (carrier transition). We derive an intensity-dependent hamiltonian in which terms proportional to the square of the Lamb-Dicke parameter ($\eta$) are retained. We show that different nonclassical effects arise in the dynamics of the ionic population inversion, depending on the initial states of the vibrational motion/field and on the values of $\eta$.

8 pages, LaTeX, 7 figures. Figures replaced; misprints corrected. Accepted for publication in Phys. Rev. A

References in corpus (6)

• Coupling a single atomic quantum bit to a high finesse optical cavity
• Quantum Information Processing in Strongly Detuned Optical Cavities
• Generation of two-mode nonclassical states and a quantum phase gate operation in trapped ion cavity QED
• Entanglement between motional states of a single trapped ion and light
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• Modeling the atomtronic analog of an optical polarizing beam splitter, a half-wave plate, and a quarter-wave plate for phonons of the motional state of two trapped atom
• Realization of Trapped Ion Dynamics in the Strong-Field Regime and Non-Markovianity