Subradiant bound dimer excited states of emitter chains coupled to a one dimensional waveguide

Zhang, Yu-Xiang; Yu, Chuan; Mølmer, Klaus

doi:10.1103/physrevresearch.2.013173

Cited by 72 publications

(62 citation statements)

References 56 publications

(69 reference statements)

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“…Interaction between strongly subradiant and less subradiant single-particle states gives rise to unusual states when one photon is a standing wave and a second one is localized in the nodes of this wave or vice versa [16]. Bound two-photon states have also been predicted [1]. Interestingly and very unexpectedly, the lifetime of bound states depends nonmonotonously on the array period.…”

Section: Introductionmentioning

confidence: 97%

Quasiflat band enabling subradiant two-photon bound states

Poddubny

2020

Phys. Rev. A

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We study theoretically the radiative lifetime of bound two-particle excitations in a waveguide with an array of two-level atoms, realising a 1D Dicke-like model. Recently, Zhang et al. [1] have numerically found an unexpected sharp maximum of the bound pair lifetime when the array period d is equal to 1/12th of the light wavelength λ0 [arXiv:1908.01818]. We uncover a rigorous transformation from the non-Hermitian Hamiltonian with the long-ranged radiative coupling to the nearest-neigbor coupling model with the radiative losses only at the edges. This naturally explains the puzzle of long lifetime: the effective mass of the bound photon pair also diverges for d = λ0/12, hampering an escape of photons through the edges. We also link the oscillations of the lifetime with the number of atoms to the nonmonotous quasi-flat-band dispersion of the bound pair.

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Section: Introductionmentioning

confidence: 97%

Quasiflat band enabling subradiant two-photon bound states

Poddubny

2020

Phys. Rev. A

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“…Strong photon-photon interactions [12,13] are known to appear in photonic waveguides coupled to atoms [23] or arrays of superconducting qubits [24][25][26]. These quantum waveguides support various exotic correlated states, such as photon bound states [27], novel twilight states [28], and selfinduced localized states [29], which look very promising for storage and processing of quantum information. By arranging the positions of qubits and designing the waveguide structure, the topological edge states have been analyzed in singleexcitation systems [30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Radiative topological biphoton states in modulated qubit arrays

Zhong

Poshakinskiy

et al. 2020

Phys. Rev. Research

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We study topological properties of bound pairs of photons in spatially-modulated qubit arrays (arrays of two-level atoms) coupled to a waveguide. While bound pairs behave like Bloch waves, they are topologically nontrivial in the parameter space formed by the center-of-mass momentum and the modulation phase, where the latter plays the role of a synthetic dimension. In a superlattice where each unit cell contains three two-level atoms (qubits), we calculate the Chern numbers for the bound-state photon bands, which are found to be (1, −2, 1). For open boundary condition, we find exotic topological bound-pair edge states with radiative losses. Unlike the conventional case of the bulk-edge correspondence, these novel edge modes not only exist in gaps separating the bound-pair bands, but they also may merge with and penetrate into the bands. By joining two structures with different spatial modulations, we find long-lived interface states which may have applications in storage and quantum information processing.

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“…For arrays of twolevel atoms, subradiant two-excitation states are fermionized due to interactions [16] and two-particle excitations which are products of dark and bright single-excitation states can appear [17]. Spatially bound subradiant dimers have also been predicted [18] and a transition from few-body quantum to nonlinear classical regimes has recently been theorised [19].…”

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confidence: 99%

Photon-Mediated Localization in Two-Level Qubit Arrays

Zhong

Olekhno

et al. 2020

Phys. Rev. Lett.

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We predict the existence of a novel interaction-induced spatial localization in a periodic array of qubits coupled to a waveguide. This localization can be described as a quantum analogue of a self-induced optical lattice between two indistinguishable photons, where one photon creates a standing wave that traps the other photon. The localization is caused by the interplay between onsite repulsion due to the photon blockade and the waveguide-mediated long-range coupling between the qubits.

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Subradiant bound dimer excited states of emitter chains coupled to a one dimensional waveguide

Cited by 72 publications

References 56 publications

Quasiflat band enabling subradiant two-photon bound states

Quasiflat band enabling subradiant two-photon bound states

Radiative topological biphoton states in modulated qubit arrays

Photon-Mediated Localization in Two-Level Qubit Arrays

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