Towards a holographic Bose-Hubbard model
Towards a holographic Bose-Hubbard model
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DOI：
10.1007/jhep04(2015)068
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发表时间：
2014-11
影响因子：
5.4
通讯作者：
Mitsutoshi Fujita;Sarah M. Harrison;A. Karch;R. Meyer;Natalie M. Paquette
中科院分区：
文献类型：
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作者：
Mitsutoshi Fujita;Sarah M. Harrison;A. Karch;R. Meyer;Natalie M. Paquette
我们给出了大N玻色-哈伯德模型的全息构造。该模型是基于麦克斯韦场耦合到带电标量场的AdS 2硬壁。我们实现了Bose-Hubbard模型的瓣形相结构，发现在大库仑排斥极限下，该模型允许Mott绝缘体基态。在莫特绝缘体阶段，玻色子被定位在每个位置上。在零跳变时，我们发现不同填充物的Mott绝缘相之间的跃迁对应于一阶能级交叉相变。在有限跳变时，我们发现了Mott相和非均匀相之间的全息相变。然后，我们分析了周围的莫特绝缘体相和非均匀相的字段的扰动。我们发现几乎为零模式的非均匀相。
We present a holographic construction of the large-N Bose-Hubbard model. The model is based on Maxwell fields coupled to charged scalar fields on the AdS 2 hard wall. We realize the lobe-shaped phase structure of the Bose-Hubbard model and find that the model admits Mott insulator ground states in the limit of large Coulomb repulsion. In the Mott insulator phases, the bosons are localized on each site. At zero hopping we find that the transitions between Mott insulating phases with different fillings correspond to first order level-crossing phase transitions. At finite hopping we find a holographic phase transition between the Mott phase and a non-homogeneous phase. We then analyze the perturbations of fields around both the Mott insulator phase and inhomogeneous phase. We find almost zero modes in the non-homogeneous phase.