期刊
NEW JOURNAL OF PHYSICS
卷 17, 期 -, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/17/4/045007
关键词
quantum simulation; cold atoms; topology
资金
- ERC AdG OSYRIS
- EUIP SIQS
- EU STREP EQuaM
- Fundacio CELLEX
- Fundacao para a Ciencia e a Tecnologia (Portugal) through PTDC/POPH [PEst-OE/EGE/UI0491/2013, PEst-OE/EEI/LA0008/2013, UID/EEA/50008/2013]
- Fundacao para a Ciencia e a Tecnologia (Portugal) through IT/QuSim
- Fundacao para a Ciencia e a Tecnologia (Portugal) through CRUP-CPU/CQVibes
- EUFEDER
- EUFP7 project LANDAUER [GA 318287]
- EUFP7 project PAPETS [GA 323901]
- [FIS2013-41757-P]
- [FIS2012-33642]
We propose several designs to simulate quantum many-body systems in manifolds with a non-trivial topology. The key idea is to create a synthetic lattice combining real-space and internal degrees of freedom via a suitable use of induced hoppings. The simplest example is the conversion of an open spin-ladder into a closed spin-chain with arbitrary boundary conditions. Further exploitation of the idea leads to the conversion of open chains with internal degrees of freedom into artificial tori and Mobius strips of different kinds. We show that in synthetic lattices the Hubbard model on sharp and scalable manifolds with non-Euclidean topologies may be realized. We provide a few examples of the effect that a change of topology can have on quantum systems amenable to simulation, both at the single-particle and at the many-body level.
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