Experimentally Accessible Scheme for a Fractional Chern Insulator in Rydberg Atoms

Weber, Sebastian; Bai, Rukmani; Makki, Nastasia; Mögerle, Johannes; Lahaye, Thierry; Browaeys, Antoine; Daghofer, Maria; Lang, Nicolai; Büchler, Hans Peter

doi:10.1103/prxquantum.3.030302

Cited by 18 publications

(5 citation statements)

References 44 publications

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“…Such systems also allow for going beyond periodic lattices, which opens several possibilities. With Rydberg atoms in optical tweezers arbitrary atomic arrangements can be obtained [6,7], and there are also ideas for implementing artificial gauge fields in these systems [8][9][10], which is a starting point for obtaining quantum Hall physics.…”

Section: J Stat Mech (2023) 053103mentioning

confidence: 99%

Properties of Laughlin states on fractal lattices

Jha

Nielsen

2023

J. Stat. Mech.

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Laughlin states have recently been constructed on fractal lattices and have been shown to be topological in such systems. Some of their properties are, however, quite different from the two-dimensional case. On the Sierpinski triangle, for instance, the entanglement entropy shows oscillations as a function of particle number and does not obey the area law despite being topologically ordered, and the particle density is non-uniform in the bulk. Here, we investigate these deviant properties in greater detail on the Sierpinski triangle, and we also study the properties on the Sierpinski carpet and the T-fractal. We find that the density variations across the fractal are present for all the considered fractal lattices and for most choices of the number of particles. The size of anyons inserted into the lattice Laughlin state also varies with position on the fractal lattice. We observe that quasiholes and quasiparticles have similar sizes and that the size of the anyons typically increases with decreasing Hausdorff dimension. As opposed to periodic lattices in two dimensions, the Sierpinski triangle and carpet have inner edges. We construct trial states for both inner and outer edge states. We find that oscillations of the entropy as a function of particle number are present for the T-fractal, but not for the Sierpinski carpet. Finally, we observe deviations from the area law for several different bipartitions on the Sierpinski triangle.

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Section: J Stat Mech (2023) 053103mentioning

confidence: 99%

Properties of Laughlin states on fractal lattices

Jha

Nielsen

2023

J. Stat. Mech.

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“…[82] With these marked progresses the interests in realizing bosonic FQAH have been recently revived in Rydberg atoms, and interesting schemes have been proposed recently. [83,84] The neutral atoms may provide a highly controllable platform to precisely explore this strongly correlated topological order, whereas the experimental realization of the bosonic FQAH, being a challenging task, calls for further great efforts.…”

Section: Introductionmentioning

confidence: 99%

Fractional Quantum Anomalous Hall Phase for Raman Superarray of Rydberg Atoms

Poon,

Zhou,

Wang

et al. 2024

Adv Quantum Tech

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Rydberg atom arrays offer promising platforms for quantum simulation of correlated quantum matter and raise great interests. This work proposes a novel stripe‐lattice model with “Raman superarray of Rydberg atoms” to realize bosonic fractional quantum anomalous Hall (FQAH) phase. Two types of Rydberg states, arranged in a supperarray configuration and with Raman‐assisted dipole‐exchange couplings, are implemented to realize a minimal QAH model for hard‐core bosons populated into a topological flat band with large bulk gap under proper tunable experimental condition. With this the bosonic FQAH phase can be further achieved and probed feasibly. In particular, a novel quench protocol is proposed to probe the fractionalized excitations by measuring the correlated quench dynamics featured by fractional charge tunneling between bulk and chiral edge modes in the open boundary.

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“…These concepts are now being re-elaborated in the context of photonic systems, giving rise to the field of topological photonics [6]. Here, ideas and phenomena of the integer and fractional quantum Hall effect are implemented and generalised to various synthetic photonic, phononic, atomic or even molecular platforms [7][8][9][10][11][12][13][14][15][16][17], with unprecedented freedom in tuning the physical parameters and measuring observables, which were previously inaccessible in traditional solidstate systems.…”

Section: Introductionmentioning

confidence: 99%

Chiral quantum optics in the bulk of photonic quantum Hall systems

Bernardis¹,

Piccioli²,

Rabl³

et al. 2023

Preprint

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We study light-matter interactions in the bulk of a two-dimensional photonic lattice system, where photons are subject to the combined effect of a synthetic magnetic field and an orthogonal synthetic electric field. In this configuration, chiral waveguide modes appear in the bulk region of the lattice, in direct analogy to transverse Hall currents in electronic systems. By evaluating the non-Markovian dynamics of emitters that are coupled to those modes, we identify critical coupling conditions, under which the shape of the spontaneously emitted photons becomes almost fully symmetric. Combined with a directional, dispersionless propagation, this property enables a complete reabsorption of the photon by another distant emitter, without relying on any time-dependent control. We show that this mechanism can be generalized to arbitrary in-plane synthetic potentials, thereby enabling flexible realizations of re-configurable networks of quantum emitters with arbitrary chiral connectivity.

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Experimentally Accessible Scheme for a Fractional Chern Insulator in Rydberg Atoms

Cited by 18 publications

References 44 publications

Properties of Laughlin states on fractal lattices

Properties of Laughlin states on fractal lattices

Fractional Quantum Anomalous Hall Phase for Raman Superarray of Rydberg Atoms

Chiral quantum optics in the bulk of photonic quantum Hall systems

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