Topological Chiral Edge States in a Synthetic Dimension of Atomic Trap States
arXiv:2410.10501 · doi:10.1103/PhysRevA.111.033301
Abstract
A key hallmark of quantum Hall physics is the existence of topological chiral states at the system boundary. Signatures of these edge states have been experimentally observed in cold atoms by using different approaches, including notably that of ``synthetic dimension'' in which internal states are coupled together and reinterpreted as sites along an artificial spatial dimension. However, previous atomic synthetic dimension implementations have been limited to relatively small system sizes with inflexible boundaries. In this paper, we propose instead how to use a synthetic dimension of atomic trap states to observe chiral edge states in a large quantum Hall system with a tunable edge. We present numerical simulations for relevant experimental parameters, showing how this scheme may be used to probe the properties and robustness of the edge states to defects. Our work opens the way for future experiments in topological physics with synthetic dimensions, while also providing new ways to manipulate and control highly-excited trap states.
23 Pages, 22 figures
References in corpus (22)
- Quantum Thermodynamic Cycles and quantum heat engines
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Direct observation of anyonic braiding statistics at the =1/3 fractional quantum Hall state
- Topological quantum matter in synthetic dimensions
- Observation of arbitrary topological windings of a non-Hermitian band
- Adaptive dynamic range shift (ADRIFT) quantitative phase imaging
- Synthetic dimensions and spin-orbit coupling with an optical clock transition
- Spin-orbit coupled fermions in an optical lattice clock
- Roadmap on Atomtronics: State of the art and perspective
- Direct imaging of topological edge states in cold-atom systems
- Detecting Chiral Edge States in the Hofstadter Optical Lattice
- Realizing Su-Schrieffer-Heeger topological edge states in Rydberg-atom synthetic dimensions
- Synthetic dimension band structures on a Si CMOS photonic platform
- Synthetic Dimensions with Magnetic Fields and Local Interactions in Photonic Lattices
- Anyons in Quantum Hall Interferometry
- Nonlinear dynamics in a synthetic momentum state lattice
- Real-space detection and manipulation of topological edge modes with ultracold atoms
- Realization of an atomic quantum Hall system in four dimensions
- Observation of chiral edge transport in a rapidly-rotating quantum gas
- Chiral edge dynamics and quantum Hall physics in synthetic dimensions with an atomic erbium Bose-Einstein condensate
- Artificial gauge fields in the t-z mapping for optical pulses: spatio-temporal wavepacket control and quantum Hall physics