$\mathbb{Z}_2$ phases and Majorana spectroscopy in paired Bose-Hubbard chains

• URL: http://arxiv.org/abs/2012.02380v1
• Date: Fri, 4 Dec 2020 03:20:11 GMT
• Title: $\mathbb{Z}_2$ phases and Majorana spectroscopy in paired Bose-Hubbard chains
• Authors: Smitha Vishveshwara and David M. Weld
• Abstract summary: We investigate the Bose-Hubbard chain in the presence of nearest-neighbor pairing. We describe a possible cold-atom realization of the paired Bose-Hubbard model in a biased zig-zag optical lattice with reservoir-induced pairing.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate the Bose-Hubbard chain in the presence of nearest-neighbor pairing. The pairing term gives rise to an unusual gapped $\mathbb{Z}_2$ Ising phase that has number fluctuation but no off-diagonal long range order. This phase has a strongly correlated many-body doubly degenerate ground state which is effectively a gap-protected macroscopic qubit. In the strongly interacting limit, the system can be mapped onto an anisotropic transverse spin chain, which in turn can be mapped to the better-known fermionic sister of the paired Bose-Hubbard chain: the Kitaev chain which hosts zero-energy Majorana bound states. While corresponding phases in the fermionic and bosonic systems have starkly different wavefunctions, they share identical energy spectra. We describe a possible cold-atom realization of the paired Bose-Hubbard model in a biased zig-zag optical lattice with reservoir-induced pairing, opening a possible route towards experimental Kitaev chain spectroscopy.

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