Dynamics of multiple atoms in one-dimensional fields

Cascio, Carlo; Halimeh, Jad C.; McCulloch, Ian P.; Recati, Alessio; Vega, Inés de

doi:10.1103/physreva.99.013845

Cited by 10 publications

(11 citation statements)

References 67 publications

(135 reference statements)

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“…However, for longer times, the |b atom propagates sufficiently far to be reabsorbed by neighboring lattice sites of V a , such that dynamical array effects become noticeable, as was experimentally observed in [1,2]. These array effects are detrimental to the Markovianity of the system [29] and they are especially acute in the ultracold platform due to the strong retardation between emitters. For such a system of N lattice sites the uncoupled Hamiltonian is given by…”

Section: The System Hamiltonianmentioning

confidence: 88%

Multiband and array effects in matter-wave-based waveguide QED

Lanuza,

Kwon,

Kim

et al. 2021

Preprint

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Recent experiments on spontaneous emission of atomic matter waves [1,2] open a new window into the behavior of quantum emitters coupled to a waveguide. Here we develop an approach based on infinite products to study this system theoretically, without the need to approximate the band dispersion relation of the waveguide. We solve the system for a one-dimensional array of one, multiple and an infinite number of quantum emitters and compare with the experiments. This leads to a detailed characterization of the decay spectrum, with a family of in-gap bound states, new mechanisms for enhanced Markovian emission different from superradiance, and the emergence of matter-wave polaritons.

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Section: The System Hamiltonianmentioning

confidence: 88%

Multiband and array effects in matter-wave-based waveguide QED

Lanuza,

Kwon,

Kim

et al. 2021

Preprint

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“…This enriches their potential for practical applications and provides novel means for devising comprehensive studies of practical and fundamental aspects of the artificial atom-field interaction. Investigations of the emergence of an atom (or other emitter, qubit in particular)-photon bound states [19][20][21][22][23][24][25][26][27][28][29][30][31] are of particular importance due to their consequences for radiation propagation [27,[32][33][34], preservation of quantum coherence and entanglement [31,34,35]. For example, the prohibition of the free propagation of radiation could be attributed to the formation of these bound states.…”

Section: Introductionmentioning

confidence: 99%

“…This is since the creation of photon bound states provides the preservation of quantum coherence for times large enough to perform quantum information processing [34]. A further important possible application is the exploitation of qubit-photon bound states as a mechanism of the entanglement preservation in quantum information processing [31,35]. In this paper, we study the qubit-photon bound states emerging through the interaction of an EM field propagating through SCQMM, consisting of massive, two stripe-superconducting resonator filled with a large number (N 1) of Cooper pair box (CPB) or charge qubits.…”

Section: Introductionmentioning

confidence: 99%

Qubit-Photon Bound States in Superconducting Metamaterials

Pejic,

Przulj,

Chevizovich

et al. 2021

Preprint

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We study quantum features of electromagnetic radiation propagating in the one-dimensional superconducting quantum metamaterial comprised of an infinite chain of charge qubits placed within two-stripe massive superconducting resonators. The Quantum-mechanical model is derived assuming weak fields and that, at low temperatures, each qubit is either unoccupied (N = 0) or occupied by a single Cooper pair (N = 1). We demonstrate the emergence of two bands of single-photon-qubitbound states with the energies lying outside the photon continuum: highly above and slightly below it. The higher energy band slowly varies with the qubit-photon center of mass quasi-momentum. It becomes practically flat provided that electromagnetic energy is far below the Josephson one, while the latter is small compared to the charging one. The dispersion of the lower band is practically identical to that of free photons. The emergence of bound states may cause radiation trapping indicating its application for the control of photon transport in superconducting qubit-based artificial media.

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“…We choose throughout the paper the triply excited state as the initial state and compare the relaxation dynamics in the Markovian and non-Markovian cases. To compare both scenarios on the same footing, we employ the quantum stochastic Schrödinger equation approach [61,71,72] and numerically solve the model using a matrix-product-state algorithm [59,[73][74][75][76][77] as an alternative to the t-DMRG method in position space [78]. We report on striking differences between the Markovian and non-Markovian descriptions.…”

Section: Introductionmentioning

confidence: 99%

Pronounced non-Markovian features in multiply excited, multiple emitter waveguide QED: Retardation induced anomalous population trapping

Carmele

Német

Canela

et al. 2020

Phys. Rev. Research

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The Markovian approximation is widely applied in the field of quantum optics due to the weak frequency dependence of the vacuum field amplitude, and in consequence non-Markovian effects are typically regarded to play a minor role in the optical electron-photon interaction. Here, we give an example where non-Markovianity changes the qualitative behavior of a quantum optical system, rendering the Markovian approximation quantitatively and qualitatively insufficient. Namely, we study a multiple emitter, multiple excitation waveguide quantum electrodynamic (waveguide QED) system and include propagation time delay. In particular, we demonstrate anomalous population trapping as a result of the retardation in the excitation exchange between the waveguide and three initially excited emitters. Allowing for local phases in the emitter-waveguide coupling, this population trapping cannot be recovered using a Markovian treatment, proving the essential role of non-Markovian dynamics in the process. Furthermore, this time-delayed excitation exchange allows for a novel steady state in which one emitter decays entirely to its ground state while the other two remain partially excited.

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Dynamics of multiple atoms in one-dimensional fields

Cited by 10 publications

References 67 publications

Multiband and array effects in matter-wave-based waveguide QED

Multiband and array effects in matter-wave-based waveguide QED

Qubit-Photon Bound States in Superconducting Metamaterials

Pronounced non-Markovian features in multiply excited, multiple emitter waveguide QED: Retardation induced anomalous population trapping

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