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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.
We suggest a regular method of achieving an extremely long lifetime of a collective singly excited state in a generic small-size ensemble of N identical atoms. The decay rate Gamma_N of such a `superdark state can be as small as Gamma_N propto Gamma(
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 indistinguishabl
Resonant light interacting with matter can support different phases of a polarizable medium, and optical bistability where two such phases coexist. Here we identify signatures of optical phase transitions and optical bistability mapped onto scattered
We propose a method to transfer the population and control the state of two-level and three-level atoms speeding-up Adiabatic Passage techniques while keeping their robustness versus parameter variations. The method is based on supplementing the stan
Ordered ensembles of atoms, such as atomic arrays, exhibit distinctive features from their disordered counterpart. In particular, while collective modes in disordered ensembles show a linear optical response, collective subradiant excitations of subw