Unconventional quantum optics in topological waveguide QED

Bello, Miguel; Platero, Gloria; Cirac, J. I.; González-Tudela, Alejandro

doi:10.1126/sciadv.aaw0297

Cited by 215 publications

(185 citation statements)

References 63 publications

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“…Although the physics of single quantum emitters in waveguides is well understood [3,10,[21][22][23], novel phenomena arise when two [24][25][26][27][28][29][30][31][32][33][34] or more [16,19,21,22,[35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51] emitters are present, since the dynamics is influenced by photon-mediated quantum correlations. In this and similar contexts, sub-and super-radiant states often emerge.…”

Section: Introductionmentioning

confidence: 99%

Bound states in the continuum for an array of quantum emitters

et al. 2019

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We study the existence of bound states in the continuum for a system of n two-level quantum emitters, coupled with a one-dimensional boson field, in which a single excitation is shared among different components of the system. The emitters are fixed and equally spaced. We first consider the approximation of distant emitters, in which one can find degenerate eigenspaces of bound states corresponding to resonant values of energy, parametrized by a positive integer. We then consider the full form of the eigenvalue equation, in which the effects of the finite spacing and the field dispersion relation become relevant, yielding also nonperturbative effects. We explicitly solve the cases n = 3 and n = 4.

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Section: Introductionmentioning

confidence: 99%

Bound states in the continuum for an array of quantum emitters

et al. 2019

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“…This accordance between the Zak phase and the presence of edge states is known as the bulk-edge correspondence [17,18]. The SSH model has recently been exploited to great effect in a series of theoretical works, including in photonics [21,22], plasmonics [23][24][25][26], polaritonics [27,28], superconducting circuits [29], and waveguide QED [30]. Cutting edge experiments have already begun to report some of the remarkable topological properties of so-called extended SSH models in these active research fields [31][32][33][34][35].…”

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confidence: 99%

Topological Phases of Polaritons in a Cavity Waveguide

et al. 2019

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We study the unconventional topological phases of polaritons inside a cavity waveguide, demonstrating how strong light-matter coupling leads to a breakdown of the bulk-edge correspondence. Namely, we observe an ostensibly topologically nontrivial phase, which unexpectedly does not exhibit edge states. Our findings are in direct contrast to topological tight-binding models with electrons, such as the celebrated Su-Schrieffer-Heeger (SSH) model. We present a theory of collective polaritonic excitations in a dimerized chain of oscillating dipoles embedded inside a photonic cavity. The added degree of freedom from the cavity photons upgrades the system from a typical SSH SU(2) model into a largely unexplored SU(3) model. Tuning the light-matter coupling strength by changing the cavity size reveals three critical points in parameter space: when the polariton band gap closes, when the Zak phase changes from being trivial to nontrivial, and when the edge state is lost. Remarkably, these three critical points do not coincide, and thus the Zak phase is no longer an indicator of the presence of edge states. Our discoveries demonstrate some remarkable properties of topological matter when strongly coupled to light, and could be important for the growing field of topological nanophotonics.

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“…Topological phases of matter have attracted great interests and developed potential applications in quantum physics [1][2][3][4][5][6][7][8][9]. In particular, topological insulators possess topologically protected surface or edge states, robust to local disorders.…”

Section: Introductionmentioning

confidence: 99%

Simulation of topological phases with color center arrays in phononic crystals

2020

Phys. Rev. Research

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We propose an efficient scheme for simulating the topological phases of matter based on siliconvacancy (SiV) center arrays in phononic crystals. This phononic band gap structure allows for long-range spin-spin interactions with a tunable profile. Under a particular periodic microwave driving, the band-gap mediated spin-spin interaction can be further designed with the form of the Su-Schrieffer-Heeger (SSH) Hamiltonian. In momentum space, we investigate the topological characters of the SSH model, and show that the topological nontrivial phase can be obtained through modulating the periodic driving fields. Furthermore, we explore the zero-energy topological edge states at the boundary of the color center arrays, and study the robust quantum information transfer via the topological edge states. This setup provides a scalable and promising platform for studying topological quantum physics and quantum information processing with color centers and phononic crystals.

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Unconventional quantum optics in topological waveguide QED

Cited by 215 publications

References 63 publications

Bound states in the continuum for an array of quantum emitters

Bound states in the continuum for an array of quantum emitters

Topological Phases of Polaritons in a Cavity Waveguide

Simulation of topological phases with color center arrays in phononic crystals

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