Journal
PHYSICAL REVIEW A
Volume 91, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.91.063612
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Funding
- EU grant OSYRIS (ERC-AdG Grant) [339106]
- EU grant SIQS (FP7-ICT) [600645]
- EU grant QUIC (H2020-FETPROACT) [641122]
- EU grant EQuaM (FP7) [323714]
- Spanish Ministry grant FOQUS [FIS2013-46768-P]
- Fundacio Cellex
- Polish Ministry of Science and Higher Education
- Polish National Science Center [DEC-2011/03/B/ST2/01903]
- ICREA Funding Source: Custom
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Engineering topological quantum order has become a major field of physics. Many advances have been made by synthesizing gauge fields in cold atomic systems. Here we carry over these developments to other platforms which are extremely well suited for quantum engineering, namely, trapped ions and nano-trapped atoms. Since these systems are typically one-dimensional, the action of artificial magnetic fields has so far received little attention. However, exploiting the long-range nature of interactions, loops with nonvanishing magnetic fluxes become possible even in one-dimensional settings. This gives rise to intriguing phenomena, such as fractal energy spectra, flat bands with localized edge states, and topological many-body states. We elaborate on a simple scheme for generating the required artificial fluxes by periodically driving an XY spin chain. Concrete estimates demonstrating the experimental feasibility for trapped ions and atoms in wave guides are given.
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