Journal
QUANTUM
Volume 3, Issue -, Pages -Publisher
VEREIN FORDERUNG OPEN ACCESS PUBLIZIERENS QUANTENWISSENSCHAF
DOI: 10.22331/q-2019-12-09-210
Keywords
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Funding
- Spanish Ministry MINECO (National Plan15 Grant: FISICATEAMO) [FIS2016-79508-P]
- European Social Fund
- Fundacio Cellex
- Generalitat de Catalunya (AGAUR) [2017, SGR 1341]
- Generalitat de Catalunya (CERCA Program)
- European Commission (ERC AdG OSYRIS, EU FET-PRO QUIC)
- National Science Centre, Poland [2016/20/W/ST4/00314]
- JSPS [KAKENHI-18K13507]
- Okinawa Institute of Science and Technology Graduate University
- Spanish MINECO [TEC2017-86102-C2-1]
- Generalitat Valenciana [Prometeo/2018/098]
- Spanish Ministry of Education and Vocational Training (MEFP) through the Beatriz Galindo program 2018 [BEAGAL18/00203]
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We show that a system of three trapped ultracold and strongly interacting atoms in onedimension can be emulated using an optical fiber with a graded-index profile and thin metallic slabs. While the wave-nature of single quantum particles leads to direct and well known analogies with classical optics, for interacting manyparticle systems with unrestricted statistics such analoga are not straightforward. Here we study the symmetries present in the fiber eigenstates by using discrete group theory and show that, by spatially modulating the incident, field, one can select the atomic statistics, i.e., emulate a system of three bosons, fermions or two bosons or fermions plus an additional distinguishable particle. We also show that the optical system is able to produce classical non-separability resembling that found in the analogous atomic system.
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