Journal
NATURE COMMUNICATIONS
Volume 7, Issue -, Pages -Publisher
NATURE PUBLISHING GROUP
DOI: 10.1038/ncomms11994
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Funding
- Excellence Initiative [DFG/GSC 266]
- Marion Koser Stiftung
- Moore foundation
- Harvard-MIT CUA
- NSF [DMR-1308435]
- AFOSR Quantum Simulation MURI
- ARO-MURI on Atomtronics
- ARO-MURI Quism programme
- Humboldt foundation
- Walter Haefner Foundation
- ETH Foundation
- Alfred Sloan Foundation
- Miller Institute for Basic Research in Science
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1308435] Funding Source: National Science Foundation
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Topological quantum phases cannot be characterized by Ginzburg-Landau type order parameters, and are instead described by non-local topological invariants. Experimental platforms capable of realizing such exotic states now include synthetic many-body systems such as ultracold atoms or photons. Unique tools available in these systems enable a new characterization of strongly correlated many-body states. Here we propose a general scheme for detecting topological order using interferometric measurements of elementary excitations. The key ingredient is the use of mobile impurities that bind to quasiparticles of a host many-body system. Specifically, we show how fractional charges can be probed in the bulk of fractional quantum Hall systems. We demonstrate that combining Ramsey interference with Bloch oscillations can be used to measure Chern numbers characterizing the dispersion of individual quasiparticles, which gives a direct probe of their fractional charges. Possible extensions of our method to other many-body systems, such as spin liquids, are conceivable.
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