Self-generated quantum gauge fields in arrays of Rydberg atoms

Ohler, Simon; Kiefer-Emmanouilidis, Maximilian; Browaeys, Antoine; Büchler, Hans Peter; Fleischhauer, Michael

doi:10.1088/1367-2630/ac4a15

Cited by 13 publications

(9 citation statements)

References 29 publications

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“…11b, the curves are indicative of a finite spin gap in phase II as the chemical potential makes a jump at half filling. We note that the size of the spin gap is on the order of ∆ε spin ∼ J = d 2 8π 0R 3 where d is the dipole matrix element of the |0 − |1 transition between Rydberg states and R is the separation between nearest neighbors, see [49]. For the parameters of the experiment in Ref.…”

Section: B Spin Gapmentioning

confidence: 99%

“…1, and which depends on the spin state of the intermediate atom. The microscopic physics of the system has been studied both theoretically and experimentally in a minimal set-up [38,48] and the relevant terms of the many-body Hamiltonian have been introduced and studied for a different lattice in [49]. For a detailed derivation of the Hamiltonian we thus refer to these publications.…”

Section: Model For Rydberg Excitations On a Honeycomb Latticementioning

confidence: 99%

“…For a detailed derivation of the Hamiltonian we thus refer to these publications. Following along the same lines as in [49], we write down the effective Hamiltonian for Rydberg excitations in the hard-core boson language (we use = 1):…”

Section: Model For Rydberg Excitations On a Honeycomb Latticementioning

confidence: 99%

“…( 1) the strength of the non-resonant processes g is given by g = 27J/(2∆), where ∆ denotes the detuning between two Rydberg states of the atoms. The factor 27 stems from Clebsch-Gordan coefficients and factors in the microscopic Hamiltonian (see [49]). The additional factor 1/2 in the definition of g is introduced to be consistent with Ref.…”

Section: Model For Rydberg Excitations On a Honeycomb Latticementioning

confidence: 99%

“…The additional factor 1/2 in the definition of g is introduced to be consistent with Ref. [49], where the same atomic setup is studied on a zig-zag chain. Most importantly the magnitude and sign of g can be controlled by the detuning of the internal state |+ .…”

Section: Model For Rydberg Excitations On a Honeycomb Latticementioning

confidence: 99%

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Quantum spin liquids of Rydberg excitations in a honeycomb lattice induced by density-dependent Peierls phases

Ohler¹,

Kiefer-Emmanouilidis²,

Fleischhauer³

2022

Preprint

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We show that the nonlinear transport of bosonic excitations in a two-dimensional honeycomb lattice of spin-orbit coupled Rydberg atoms gives rise to disordered quantum phases which are candidates for quantum spin liquids. As recently demonstrated in [Lienhard et al. Phys. Rev. X, 10, 021031 (2020)] the spin-orbit coupling breaks time-reversal and chiral symmetries and leads to a tunable density-dependent complex hopping of the hard-core bosons or equivalently to complex XY spin interactions. Using exact diagonalization (ED) we numerically investigate the phase diagram resulting from the competition between density-dependent and direct transport terms. In meanfield approximation there is a phase transition from a quasi-condensate to a 120 • phase when the amplitude of the complex hopping exceeds that of the direct one. In the full model a new phase with a finite spin gap emerges close to the mean-field critical point as a result of quantum fluctuations induced by the density-dependence of the complex hopping. We show that this phase is a genuine disordered one, has a non-vanishing spin chirality and is characterized by a non-trivial many-body Chern number. ED simulations of small lattices with up to 28 lattice sites point to a non-degenerate ground state and thus to a bosonic integer-quantum Hall (BIQH) phase, protected by U (1) symmetry. The Chern number of C = 1, which is robust to disorder, is however different from the even Chern numbers found in other BIQH phases. For very strong, nonlinear hoppings of opposite sign we find another disordered regime with vanishing spin gap. This phase also has a large spin chirality and could be a gapless spin-liquid but lies outside the parameter regime accessible in the Rydberg system.

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Section: B Spin Gapmentioning

confidence: 99%

Section: Model For Rydberg Excitations On a Honeycomb Latticementioning

confidence: 99%

Section: Model For Rydberg Excitations On a Honeycomb Latticementioning

confidence: 99%

Section: Model For Rydberg Excitations On a Honeycomb Latticementioning

confidence: 99%

Section: Model For Rydberg Excitations On a Honeycomb Latticementioning

confidence: 99%

See 3 more Smart Citations

Quantum spin liquids of Rydberg excitations in a honeycomb lattice induced by density-dependent Peierls phases

Ohler¹,

Kiefer-Emmanouilidis²,

Fleischhauer³

2022

Preprint

Self Cite

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Quantum transports in two-dimensions with long range hopping

Wang

Dai

et al. 2023

Sci Rep

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We investigate the effects of disorder and shielding on quantum transports in a two dimensional system with all-to-all long range hopping. In the weak disorder, cooperative shielding manifests itself as perfect conducting channels identical to those of the short range model, as if the long range hopping does not exist. With increasing disorder, the average and fluctuation of conductance are larger than those in the short range model, since the shielding is effectively broken and therefore long range hopping starts to take effect. Over several orders of disorder strength (until $$\sim 10^4$$ ∼ 10 4 times of nearest hopping), although the wavefunctions are not fully extended, they are also robustly prevented from being completely localized into a single site. Each wavefunction has several localization centers around the whole sample, thus leading to a fractal dimension remarkably smaller than 2 and also remarkably larger than 0, exhibiting a hybrid feature of localization and delocalization. The size scaling shows that for sufficiently large size and disorder strength, the conductance tends to saturate to a fixed value with the scaling function $$\beta \sim 0$$ β ∼ 0 , which is also a marginal phase between the typical metal ($$\beta >0$$ β > 0 ) and insulating phase ($$\beta <0$$ β < 0 ). The all-to-all coupling expels one isolated but extended state far out of the band, whose transport is extremely robust against disorder due to absence of backscattering. The bond current picture of this isolated state shows a quantum version of short circuit through long hopping.

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Simulation of chiral motion of excitation within the ground-state manifolds of neutral atoms

Tang,

Li,

You

et al. 2024

APL Quantum

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Laser-induced gauge fields in neutral atoms serve as a means of mimicking the effects of a magnetic field, providing researchers with a platform to explore behaviors analogous to those observed in condensed matter systems under real magnetic fields. Here, we propose a method to generate chiral motion in atomic excitations within the neutral atomic ground-state manifolds. This is achieved through the application of polychromatic driving fields coupled to the ground–Rydberg transition, along with unconventional Rydberg pumping. The scheme offers the advantage of arbitrary adjustment of the effective magnetic flux by setting the relative phases between different external laser fields. In addition, the effective interaction strength between the atomic ground states can be maintained at 10 kHz, surpassing the capabilities of the previous approach utilizing Floquet modulation. Notably, the proposed method can be readily extended to implement a hexagonal neutral atom lattice, serving as the fundamental unit in realizing the Haldane model.

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Self-generated quantum gauge fields in arrays of Rydberg atoms

Cited by 13 publications

References 29 publications

Quantum spin liquids of Rydberg excitations in a honeycomb lattice induced by density-dependent Peierls phases

Quantum spin liquids of Rydberg excitations in a honeycomb lattice induced by density-dependent Peierls phases

Quantum transports in two-dimensions with long range hopping

Simulation of chiral motion of excitation within the ground-state manifolds of neutral atoms

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