Effective mass in cavity QED

Abstract

We consider propagation of a two-level atom coupled to one electro-magnetic mode of a high-Q cavity. The atomic center-of-mass motion is treated quantum mechanically and we use a standing wave shape for the mode. The periodicity of the Hamiltonian leads to a spectrum consisting of bands and gaps, which is studied from a Floquet point of view. Based on the band theory we introduce a set of effective mass parameters that approximately describe the effect of the cavity on the atomic motion, with the emphasis on one associated with the group velocity and on another one that coincides with the conventional effective mass. Propagation of initially Gaussian wave packets is also studied using numerical simulations and the mass parameters extracted thereof are compared with those predicted by the Floquet theory. Scattering and transmission of the wave packet against the cavity are further analyzed, and the constraints for the effective mass approach to be valid are discussed in detail.

16 pages, 15 figures, accepted in Phys Rev A

References in corpus (7)

• Trapping of single atoms in cavity QED
• Coupling a single atomic quantum bit to a high finesse optical cavity
• Cavity QED and quantum information processing with "hot" trapped atoms
• Trapping of Single Atoms with Single Photons in Cavity QED
• Tunneling and Traversal of Ultra-cold Atoms through Vacuum Induced Potentials
• Dynamics of a Raman coupled model: entanglement and quantum computation
• Trapping atoms in the vacuum field of a cavity

Cited by in corpus (15)

• Self-interfering wavepackets
• Dilute gas of ultracold two-level atoms inside a cavity; generalized Dicke model
• Validity of adiabaticity in Cavity QED
• Negative-mass effects in spin-orbit coupled Bose-Einstein condensates
• Quantum interference structures in trapped ion dynamics beyond the Lamb-Dicke and rotating wave approximations
• Non-conservative Forces via Quantum Reservoir Engineering
• Level crossings in a cavity QED model
• Cavity QED nondemolition measurement scheme using quantized atomic motion
• Coupled two-component atomic gas in an optical lattice
• Quantum fluctuations in the mazer
• Engineering Optomechanically Induced Transparency by coupling a qubit to a spinning resonator
• Coupling internal atomic states in a two-component Bose-Einstein condensate via an optical lattice: Extended Mott-superfluid transitions
• Rabi oscillations in a quantum dot-cavity system coupled to a non-zero temperature phonon bath
• Dynamical quantum phase transition of a two-component Bose-Einstein condensate in an optical lattice
• Synthetic Spin-Orbit Coupling in Two-level Cold Atoms