论文标题
$ \ mathbb {z} _2 $阶段和配对的Bose-Hubbard链中的主要光谱
$\mathbb{Z}_2$ phases and Majorana spectroscopy in paired Bose-Hubbard chains
论文作者
论文摘要
我们研究了最近邻邻配对的玻色扣链。配对术语产生了一个异常的差距$ \ mathbb {z} _2 $ ising阶段，该阶段具有数字波动，但没有偏高的长距离顺序。该阶段具有密切相关的多体偶合性变性基态，这实际上是受间隙保护的宏观量子量。在强烈相互作用的极限中，可以将系统映射到各向异性的横向自旋链上，进而将其映射到配对的玻色 - 哈伯链链的知名典型姐妹：基塔夫链，该链具有零能量的Majoragana绑定状态。虽然费米子和骨系统中的相应阶段具有明显不同的波形，但它们具有相同的能量光谱。我们描述了与储层诱导的配对的有偏见的锯齿形光学晶格中配对的玻色 - 哈伯德模型的可能感冒原子实现，为实验性Kitaev链链光谱传动了可能的途径。
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.
