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https://doi.org/10.1088/1367-2630/17/4/045007
Title: | Quantum simulation of non-trivial topology | Authors: | Boada, O Celi, A Rodriguez-Laguna, J Latorre, J.I Lewenstein, M |
Keywords: | Chains Degrees of freedom (mechanics) Mechanics Quantum chemistry Quantum optics Quantum theory Arbitrary boundary conditions Cold atoms Internal degrees of freedom Open spin ladders Quantum many-body systems Quantum simulations Quantum system Single particle Topology |
Issue Date: | 2015 | Publisher: | Institute of Physics Publishing | Citation: | Boada, O, Celi, A, Rodriguez-Laguna, J, Latorre, J.I, Lewenstein, M (2015). Quantum simulation of non-trivial topology. New Journal of Physics 17 : 45007. ScholarBank@NUS Repository. https://doi.org/10.1088/1367-2630/17/4/045007 | Rights: | Attribution 4.0 International | Abstract: | 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 Mö bius 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. © 2015 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. | Source Title: | New Journal of Physics | URI: | https://scholarbank.nus.edu.sg/handle/10635/179665 | ISSN: | 1367-2630 | DOI: | 10.1088/1367-2630/17/4/045007 | Rights: | Attribution 4.0 International |
Appears in Collections: | Staff Publications Elements |
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