Dipole-dipole interaction in cavity-QED: perturbative regime

Abstract

We compute the interaction energies of a two-atom system placed in the middle of a perfectly reflecting planar cavity, in the perturbative regime. Explicit expressions are provided for the van der Waals potentials of two polarisable atomic dipoles as well as for the electrostatic potential of two induced dipoles. For the van der Waals potentials, several scenarios are considered, namely, a pair of atoms in their ground states, a pair of atoms both excited, and a pair of dissimilar atoms with one of them excited. In addition, the corresponding phase-shift of the two-atom wavefunction is calculated in each case. The effects of the two-dimensional confinement of the electromagnetic field by the cavity are analyzed in each scenario.

12 pages, 8 figures

References in corpus (6)

• Quantum computing with atomic qubits and Rydberg interactions: Progress and challenges
• Cavity Carving of Atomic Bell States
• Tailoring Rydberg interactions via Förster resonances: state combinations, hopping and angular dependence
• Two-atom interaction energies with one atom in an excited state: van der Waals potentials vs. level shifts
• Casimir-Polder induced Rabi oscillations
• Violation of the action-reaction principle in an asymmetrically excited system

Cited by in corpus (13)

• Manipulating entanglement sudden death in two coupled two-level atoms interacting off-resonance with a radiation field: an exact treatment
• Interatomic interaction of two ground-state atoms in vacuum: contributions of vacuum fluctuations and radiation reaction
• Resonance interaction of two entangled atoms accelerating between two mirrors
• Single-Photon Pulse Induced Transient Entanglement Force
• Fulling-Davies-Unruh effect for accelerated two-level single and entangled atomic systems
• Asymptotic entanglement sudden death in two atoms with dipole-dipole and Ising interactions coupled to a radiation field at non-zero detuning
• Quantum corrections to the classical electrostatic interaction between induced dipoles
• Quantum thermal field fluctuation induced corrections to the interaction between two ground-state atoms
• The field-induced interaction between non-resonant magnetic dipoles
• Single and entangled atomic systems in thermal bath and the Fulling-Davies-Unruh effect
• The field induced magnetic dipolar interaction for general boundary conditions
• Ramsey interferometry of Rydberg ensembles inside microwave cavities
• Magnetic dipole-dipole interaction induced by the electromagnetic field