Superradiance in spin-$J$ particles: Effects of multiple levels

Abstract

We study the superradiance dynamics in a dense system of atoms each of which can be generally a spin-$j$ particle with $j$ an arbitrary half-integer. We generalize Dicke's superradiance point of view to multiple-level systems, and compare the results based on a novel approach we have developed in {[}Yelin \textit{et al.}, arXiv:quant-ph/0509184{]}. Using this formalism we derive an effective two-body description that shows cooperative and collective effects for spin-$j$ particles, taking into account the coherence of transitions between different atomic levels. We find that the superradiance, which is well-known as a many-body phenomenon, can also be modified by multiple level effects. We also discuss the feasibility and propose that our approach can be applied to polar molecules, for their vibrational states have multi-level structure which is partially harmonic.

11 pages, 7 figures

References in corpus (8)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Quantum critical behavior in strongly interacting Rydberg gases
• Photon localization and Dicke superradiance in atomic gases
• Rydberg atom mediated polar molecule interactions: a tool for molecular-state conditional quantum gates and individual addressability
• Cluster state generation using van der Waals and dipole-dipole interactions in optical lattices
• Multi-particle decoherence free subspaces in extended systems
• Population redistribution in optically trapped polar molecules
• Collective states in highly symmetric atomic configurations, and single-photon traps

Cited by in corpus (21)

• Cooperative effects and disorder: A scaling analysis of the spectrum of the effective atomic Hamiltonian
• Dicke superradiance in ordered lattices: dimensionality matters
• Emergent dark states from superradiant dynamics in multilevel atoms in a cavity
• Certifying Separability in Symmetric Mixed States, and Superradiance
• Performance limits of multilevel and multipartite quantum heat machines
• Beyond lowest order mean field theory for light interacting with atom arrays
• Theoretical study of early time superradiance for atom clouds and arrays
• Dicke superradiance in ordered arrays of multilevel atoms
• Quantum interference between independent reservoirs in open quantum systems
• Coherent Forward Broadening in Cold Atom Clouds
• Dicke superradiance requires interactions beyond nearest-neighbors
• Dissipative transverse-field Ising model: steady-state correlations and spin squeezing
• Competition between finite-size effects and dipole-dipole interactions in few-atom systems
• Intensity effects of light coupling to one- or two-atom arrays of infinite extent
• Cooperative effects and photon localization in atomic gases: The two-dimensional case
• Vibrational spectroscopy of polar molecules with superradiance
• Master equation for multilevel interference in a superradiant medium
• Dissipative phase transition: from qubits to qudits
• Roles of cooperative effects and disorder in photon localization: The case of a vector radiation field
• Permutationally invariant processes in open multiqudit systems
• Adding Photonic Entanglement to Superradiance by Using Multilevel Atoms