Subradiant Emission from Regular Atomic Arrays: Universal Scaling of Decay Rates from the Generalized Bloch Theorem

Zhang, Yu-Xiang; Mølmer, Klaus

doi:10.1103/physrevlett.125.253601

Cited by 37 publications

(19 citation statements)

References 46 publications

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“…A similar idea of studying a (different) simpler Hamiltonian was recently used to prove a universal power-law scaling of the decay rates of the singly-excited subradiant states [37]. As in [37] we shall validate our solution by treating the difference between the exact H eff and the approximate H 1 as a perturbation, ∆H = H eff − H 1 , which can also be written in the form of Eq. ( 2) with a dispersion relation δω(k) = ω eff (k) − ω 1 (k).…”

mentioning

confidence: 87%

“…Moreover, it implies the existence of free-fermion states with finite decay rates and properties that may hence be observed in the emitted field, which is not an attractive option for the previously discovered subradiant free-fermion states [3][4][5]. Dispersion relations with a higher power law leads to even more subradiant states [37], but they correspond to interacting fermions and do not follow the free-fermion ansatz.…”

mentioning

confidence: 97%

“…The free-fermion state is not a precise ansatz if the extremum point of ω eff (k) is not quadratic. Quartic extremum points exist in atom arrays in 3D free space [37].…”

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confidence: 99%

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Free-Fermion Multiply Excited Eigenstates and Their Experimental Signatures in 1D Arrays of Two-Level Atoms

Zhang,

Mølmer

2021

Preprint

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One-dimensional subwavelength atom arrays display multiply-excited subradiant eigenstates which are reminiscent of free fermions. In this Letter, we show that such free-fermion eigenstates appear in case of a quadratic dispersion relation of the band of singly-excited states, by demonstrating that near the band-edge, Hamiltonians of the long-range resonant dipole-dipole interactions can be approximated by a nearest-neighbour-tunneling model diagonalized by Jordan-Wigner fermions. The universal mechanism for this phenomenon implies that the free-fermion ansatz extends to states with finite decay rates and we propose schemes for their observation, exploiting a physical transfer process between sub-and super-radiant free-fermion eigenstates, and by angular coincidences in the emission from a laser driven atomic array.

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confidence: 87%

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confidence: 97%

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Free-Fermion Multiply Excited Eigenstates and Their Experimental Signatures in 1D Arrays of Two-Level Atoms

Zhang,

Mølmer

2021

Preprint

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“…The use of optical metasurfaces in quantum technologies still requires a better understanding of their cooperative optical behavior [15,16]. Previous works on cooperative optical phenomena have focused mainly on spontaneous emission effects such as subradiance, superradiance, directional scattering and subradiant excitations [17][18][19][20][21][22][23][24][25][26][27][28][29][30]. These works assume that the photons emitted by the atoms can be distinguished from the photons of the driving laser field.…”

Section: Introductionmentioning

confidence: 99%

Photon statistics of the light transmitted and reflected by a two-dimensional atomic array

Cano

2021

Preprint

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This work proposes to investigate the photon statistics of the light transmitted and reflected by a two-dimensional array of interacting atoms. The reflected beam is characterized by photon antibunching. On the other hand, in the transmitted beam the indistinguishability between the driving laser photons and the photons re-emitted by the atoms results in photon bunching. The overlap between the driving and scattered fields is enhanced by the cooperative optical response of the atomic array. In the examples used in this paper, up to 25% of the transmitted photons are grouped in pairs. The simulations are carried out using the stochastic method of quantum trajectories.

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“…the distribution of complex momentum κ, parameterized by β k ≡ e ikL0 , on a complex plane [4,6]. To this end, we construct a Bloch state for a complex momentum as a traveling wave Ψκ = (1/ √ N ) N l=1 (β κ ) lb l , obeying, under Hamiltonian (4), the equation of motion [19,38,39]. The dispersion relation…”

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confidence: 99%

Giant Microwave Sensitivity of Magnetic Array by Long-Range Chiral Interaction Driven Skin Effect

Chen¹,

Zeng²

2022

Preprint

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Non-Hermitian skin effect was observed in one-dimensional systems with short-range chiral interaction. Long-range chiral interaction mediated by traveling waves also favors the accumulation of energy, but has not yet showed non-Hermitian topology. Here we find that the strong interference brought by the wave propagation is detrimental for accumulation. By suppression of interference via the damping of traveling waves, we predict the non-Hermitian skin effect of magnetic excitation in a periodic array of magnetic nanowires that are coupled chirally via spin waves of thin magnetic films. The local excitation of a wire at one edge by weak microwaves of magnitude ∼ µT leads to a considerable spin-wave amplitude at the other edge, i.e. a remarkable functionality useful for sensitive, non-local, and non-reciprocal detection of microwaves.

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Subradiant Emission from Regular Atomic Arrays: Universal Scaling of Decay Rates from the Generalized Bloch Theorem

Cited by 37 publications

References 46 publications

Free-Fermion Multiply Excited Eigenstates and Their Experimental Signatures in 1D Arrays of Two-Level Atoms

Free-Fermion Multiply Excited Eigenstates and Their Experimental Signatures in 1D Arrays of Two-Level Atoms

Photon statistics of the light transmitted and reflected by a two-dimensional atomic array

Giant Microwave Sensitivity of Magnetic Array by Long-Range Chiral Interaction Driven Skin Effect

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