Abstract
Quantum emitters (QEs) coupled to structured baths can localize multiple photons around them and form qubit-photon bound states. In the Markovian or weak coupling regime, the interaction of QEs through these single-photon bound states is known to lead to effective many-body QE Hamiltonians with tuneable but yet perturbative interactions. In this work we study the emergence of such models in the non-Markovian or strong coupling regime in different excitation subspaces. The effective models for the non-Markovian regime with up to three excitations are characterized using analytical methods, uncovering the existence of doublons or triplon states. Furthermore, we provide numerical results for systems with multiple excitations and demonstrate the emergence of polariton models with optically tuneable interactions, whose many-body ground state exhibits a superfluid-Mott insulator transition.
Highlights
Quantum systems coupled to a common environment experience interactions mediated by the bath excitations [1]
The large probability p > 0.85 even in the non-Markovian regime shows that the excitations b †2∣0ñ 2 dominate the ground state, which indicates that the low energy dynamics in the single and two-excitation subspaces can be described by some interacting Hamiltonian for the polariton modes b † ∣0ñ
We have studied the emergent dynamics of many quantum emitters (QEs) interacting with structured photonic reservoirs in the non-Markovian and many excitation regimes
Summary
Original content from this work may be used under the terms of the Creative Abstract. Quantum emitters (QEs) coupled to structured baths can localize multiple photons around them and. Any further distribution of form qubit-photon bound states. In the Markovian or weak coupling regime, the interaction of QEs this work must maintain attribution to the through these single-photon bound states is known to lead to effective many-body QE Hamiltonians author(s) and the title of with tuneable but yet perturbative interactions. The non-Markovian or strong coupling regime in different excitation subspaces. The effective models for the non-Markovian regime with up to three excitations are characterized using analytical methods, uncovering the existence of doublons or triplon states. We provide numerical results for systems with multiple excitations and demonstrate the emergence of polariton models with optically tuneable interactions, whose many-body ground state exhibits a superfluid-Mott insulator transition
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