Majorana Fermions in Quasi-One-Dimensional and Higher-Dimensional Ultracold Optical Lattices

dc.contributor.authorQu, Chunleien_US
dc.contributor.authorGong, Mingen_US
dc.contributor.authorXu, Yongen_US
dc.contributor.authorTewari, Sumantaen_US
dc.contributor.authorZhang, Chuanweien_US
dc.contributor.utdAuthorQu, Chunleien_US
dc.contributor.utdAuthorZhang, Chuanweien_US
dc.date.accessioned2017-02-24T20:21:14Z
dc.date.available2017-02-24T20:21:14Z
dc.date.created2015-08-14en_US
dc.date.issued2015-08-14en_US
dc.description.abstractWe study Majorana fermions (MFs) in quasi-one dimensional (quasi-1D) and higher-dimensional fermionic optical lattices with a strictly 1D spin-orbit coupling, which has already been realized in cold atom experiments. We show that when the superfluid order parameters are homogeneous and are enforced to be identical along different chains, there are multiple MFs at each end with or without an experimentally tunable in-plane Zeeman field V{y}. For V{y} = 0 the multiple MFs are topologically protected by a chiral symmetry; however, for V{y} ≠ 0 the existence of multiple MFs is related to the peculiar spectrum properties of the system despite the broken chiral symmetry. In the generalization to higher dimensions, the multiple MFs form a zero-energy flat band. Furthermore, when the superfluid order parameters are solved self-consistently, the multiple MFs are usually destroyed because of the inhomogeneous order parameters of either Bardeen-Cooper-Schrieffer (V{y} = 0) type or Fulde-Ferrell (V{y} ≠ 0). Our results are useful to guide the experimentalists on searching for MFs in ultracold spin-orbit coupled fermionic superfluids.en_US
dc.description.sponsorshipARO (W911NF-12-1-0334); AFOSR (FA9550-13-1-0045); NSF-PHY (1249293, 1104527); Hong Kong RGC/GRF projects (No. 401011 and No. 401113).en_US
dc.identifier.bibliographicCitationQu, Chunlei, Ming Gong, Yong Xu, Sumanta Tewari, et al. 2015. "Majorana fermions in quasi-one-dimensional and higher-dimensional ultracold optical lattices." Physical Review A 92(2): 023621-023621.en_US
dc.identifier.issn1050-2947en_US
dc.identifier.issue2en_US
dc.identifier.urihttp://hdl.handle.net/10735.1/5274
dc.identifier.volume92en_US
dc.relation.urihttp://dx.doi.org/10.1103/PhysRevA.92.023621
dc.rights©2015 American Physical Societyen_US
dc.sourcePhysical Review A
dc.subjectFermionsen_US
dc.subjectOriganumen_US
dc.subjectParticles (Nuclear physics)—Chiralityen_US
dc.subjectOptical latticesen_US
dc.subjectRadiation—Measurementen_US
dc.titleMajorana Fermions in Quasi-One-Dimensional and Higher-Dimensional Ultracold Optical Latticesen_US
dc.type.genreArticleen_US

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