Laughlin's topological charge pump in an atomic Hall cylinder

Fabre, Aurélien; Bouhiron, Jean-Baptiste; Satoor, Tanish; Lopes, Raphael; Nascimbene, Sylvain

doi:10.48550/arxiv.2110.12971

Cited by 4 publications

(4 citation statements)

References 34 publications

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“…From an experimental viewpoint, it opens a new path towards the assessment of the anyonic properties of the FQHE quasiparticles. Recent experimental advances in the realisation of FQHE states with photonic and atomic gases [31][32][33][34][35][36]53], also by means of synthetic dimensions [54][55][56], make it possible to envision the study of strongly-correlated liquids using observables that are radically different from those that are standard in solid-state setups; in particular, a characterisation of the system in real space is possible [57][58][59][60][61][62][63][64][65][66]. Our work fits well in this endeavour and shows that the study of the charge and of the quadrupole moment of the quasiparticle is sufficient to assess its fractional spin.…”

Section: Discussionmentioning

confidence: 99%

Measurable fractional spin for quantum Hall quasiparticles on the disk

Comparin,

Opler,

Macaluso

et al. 2021

Preprint

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We propose a definition for the spin of the localised quasiparticle excitations of lowest-Landaulevel quantum Hall states defined on a disk. This spin satisfies the spin-statistics relation and can be used to reconstruct the topological geometric phase associated to the exchange of two arbitrarily chosen quasiparticles. Since it is related to the quadrupole moment of the quasiparticle charge distribution, it can be measured in an experiment and could reveal anyonic properties in a way that is complementary to the interferometric schemes employed so far. We first discuss our definition for the quasiholes of the Laughlin state, for which we present a numerical and analytical study of our spin, and we proceed with a discussion of several kinds of quasiholes of the Halperin 221 state. A connection with the standard definition of fractional spin is presented by discussing the adiabatic insertion or removal of flux quanta. Finally, we discuss the link between our spin and the adiabatic rotation of the quasiparticles around their axis and demonstrate that our spin obeys the spin-statistics relation.

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Section: Discussionmentioning

confidence: 99%

Measurable fractional spin for quantum Hall quasiparticles on the disk

Comparin,

Opler,

Macaluso

et al. 2021

Preprint

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“…As another hallmark of quantum Hall states, quantized charge pumping can be induced by quanta of adiabatic flux insertion [100,101]. The realization of this famous Laughlin gedankenexperiment in 2D optical lattices has been proposed [102] and its application in interacting systems of small size has also been addressed [46].…”

Section: Fractional Charge Pumpingmentioning

confidence: 99%

Measurable signatures of bosonic fractional Chern insulator states and their fractional excitations in a quantum-gas microscope

2022

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The recent progress in engineering topological band structures in optical-lattice systems makes it promising to study fractional Chern insulator states in these systems. Here we consider a realistic finite system of a few repulsively interacting bosons on a square lattice with magnetic flux and sharp edges, as it can be realized in quantum-gas microscopes. We investigate under which conditions a fractional Chern insulator state corresponding to the Laughlin-like state at filling \nu=1/2ν=1/2 can be stabilized and its fractional excitations probed. Using numerical simulations, we find an incompressible bulk density at the expected filling for systems, whose linear extent is as small as 6-8 sites. This is a promising result, since such small systems are favorable with respect to the required adiabatic state preparation. Moreover, we also see very clear signatures of excitations with fractional charge in response both to static pinning potentials and dynamical flux insertion. Since the compressible edges, which are found to feature chiral currents, can serve as a reservoir, these observations are robust against changes in the total particle number. Our results suggest that signatures of both a fractional Chern insulator state and its fractional excitations can be found under realistic experimental conditions.

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“…Real-space lattices augmented with spin-orbit coupling (SOC) connect spin "lattice" sites via momentum exchange, creating Hall cylinders pierced by magnetic flux in a synthetic position-spin space [11][12][13][14][15][16], or creating Hall ribbons in optical clock experiments [17][18][19][20]. Real-space lattices are not always needed; SOC itself can provide synthetic degrees of freedom, which can act as a potent generator of Berry curvature [21][22][23][24][25] or provide control parameters for Hamiltonian engineering [26,27]. Synthetic lattices entirely in momentum-space [28,29] have been realized, and, with carefully engineered hopping schemes, have proven topological [30][31][32][33].…”

mentioning

confidence: 99%

Experimental realization of a fermionic spin-momentum lattice

Lauria,

Kuo,

Cooper

et al. 2022

Preprint

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We experimentally realize a spin-momentum lattice with a homogeneously trapped Fermi gas. The lattice is created via cyclically-rotated atom-laser couplings between three bare atomic spin states, and are such that they form a triangular lattice in a synthetic spin-momentum space. We demonstrate the lattice and explore its dynamics with spin-and momentum-resolved absorption imaging. This platform will provide new opportunities for synthetic spin systems and the engineering of topological bands. In particular, the use of three spin states in two spatial dimensions would allow the simulation of synthetic magnetic fields of high spatial uniformity, which would lead to ultranarrow Chern bands that support robust fractional quantum Hall states.

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Laughlin's topological charge pump in an atomic Hall cylinder

Cited by 4 publications

References 34 publications

Measurable fractional spin for quantum Hall quasiparticles on the disk

Measurable fractional spin for quantum Hall quasiparticles on the disk

Measurable signatures of bosonic fractional Chern insulator states and their fractional excitations in a quantum-gas microscope

Experimental realization of a fermionic spin-momentum lattice

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