Dynamics of multiple atoms in one-dimensional fields

Abstract

We analyze the dynamics of a set of two-level atoms coupled to the electromagnetic environment within a waveguide. This problem is often tackled by assuming a weak coupling between the atoms and the environment as well as the associated Markov approximation. We show that the accuracy of such an approximation may be more limited than in the single-atom case and also be strongly determined by the presence of collective effects produced by atom-atom interactions. To this aim, we solve the full problem with exact diagonalization and also the time-dependent density matrix renormalization group method, and compare the result to that obtained within a weak-coupling master equation and with the Dicke approximation. Finally, we study the dynamics of the entanglement within the system when considering several inter-atomic distances and atomic frequencies.

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Cited by in corpus (7)

• Pronounced non-Markovian features in multiply-excited, multiple-emitter waveguide-QED: Retardation-induced anomalous population trappin
• Energy transfer and interference by collective electromagnetic coupling
• Thermalization with detailed-balanced two-site Lindblad dissipators
• Multiband and array effects in matter-wave-based waveguide QED
• Exact solution for the collective non-Markovian decay of two fully excited quantum emitters
• Light-Matter interactions in Hofstadter lattice with the next-nearest neighbor couplings
• Qubit-Photon Bound States in Superconducting Metamaterials