Preparation of the 1/2 Laughlin state with atoms in a rotating trap

Andrade, Bárbara; Kasper, Valentin; Lewenstein, Maciej; Weitenberg, Christof; Graß, Tobias

doi:10.1103/physreva.103.063325

Cited by 9 publications

(3 citation statements)

References 45 publications

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“…This scheme may be advantageous in realizing braiding, e.g., in GaAs-based systems, in which the twodimensional electron gas is far from the surface gates. It might also be the preferred protocol once fractional quantum Hall systems are realized in cold atomic [44][45][46][47][48][49] or photonic [50][51][52] systems in synthetic gauge field.…”

Section: The Quench Evolution Of the Two-quasihole Statementioning

confidence: 99%

Anyonic braiding via quench dynamics in fractional quantum Hall liquids

Li,

Ye,

Jiang

et al. 2022

Preprint

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In a Laughlin fractional quantum Hall state, one-and two-quasihole states can be obtained by diagonalizing the many-body Hamiltonian with a trapping potential or, for larger systems, from the linear combination of the edge Jack polynomials. The quasihole states live entirely in the subspace of the lowest-energy branch in the energy spectrum with a fixed number of orbits, or a hard-wall confinement. The reduction in the Hilbert space dimension facilitates the study of time evolution of the quasihole states after, say, the removal of the trapping potential. We explore the quench dynamics under a harmonic external potential, which rotates the quasiholes in the droplet, and discuss the effect of long-range interaction and more realistic confinement. Accurate evaluation of the mutual statistics phase of anyons for a wide range of anyon separation can be achieved from the Berry-phase calculation.

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Section: The Quench Evolution Of the Two-quasihole Statementioning

confidence: 99%

Anyonic braiding via quench dynamics in fractional quantum Hall liquids

Li,

Ye,

Jiang

et al. 2022

Preprint

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show abstract

“…In the presence of strong interactions, up to the limit of hard-core bosons, this system is predicted to host FCI ground states [38][39][40][41][42][43][44]. Various realistic protocols were proposed for both the detections of the FCI states [45][46][47][48][49][50][51][52][53][54][55][56][57], and their adiabatic preparations [57][58][59][60][61][62][63][64][65][66][67][68] (see also Ref. [69] for rapid state preparation via magnetic flux ramps).…”

Section: Introductionmentioning

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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“…In the presence of strong interactions, up to the limit of hard-core bosons, this system is predicted to host FCI ground states [38][39][40][41][42]. Various realistic protocols were proposed for both the detections of the FCT states [43][44][45][46][47][48][49][50][51][52][53][54], and their adiabatic preparations [54][55][56][57][58][59][60][61][62][63][64][65] (see also Ref. [66] for rapid state preparation via magnetic flux ramps).…”

Section: Introductionmentioning

confidence: 99%

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

Wang,

Dong,

Eckardt

2021

Preprint

View full text Add to dashboard Cite

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 ν = 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.

show abstract

Preparation of the 1/2 Laughlin state with atoms in a rotating trap

Cited by 9 publications

References 45 publications

Anyonic braiding via quench dynamics in fractional quantum Hall liquids

Anyonic braiding via quench dynamics in fractional quantum Hall liquids

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

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

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