论文标题

相互作用的非温和型和非对称动力学的皮肤超流体,拓扑莫特绝缘子和非对称动力学

Skin superfluid, topological Mott insulators, and asymmetric dynamics in interacting non-Hermitian Aubry-Andre-Harper models

论文作者

Zhang, Dan-Wei, Chen, Yu-Lian, Zhang, Guo-Qing, Lang, Li-Jun, Li, Zhi, Zhu, Shi-Liang

论文摘要

非热量子多体系统是一个引人入胜的主题。使用广义密度基质重质量化组方法和互补的精确对角线化,我们阐明了玻色子的一维相互作用的非温和的aubry-andre-harper模型的多体基态和动力学。我们发现,在该模型的各种条件下,超流体和莫特绝缘方案中的稳定基态。我们揭示了非注册跳跃的非热性引起的皮肤超流体状态。我们研究了莫特绝缘阶段的拓扑,并找到了其非热性的独立性。这个非热式系统中的拓扑莫特绝缘子的特征是四个相等的chern数量和生物息肉多体极化的量化变化。此外,我们在系统中显示了通用的不对称扩展和相关动力学。

Non-Hermitian quantum many-body systems are a fascinating subject to be explored. Using the generalized density matrix renormalisation group method and complementary exact diagonalization, we elucidate the many-body ground states and dynamics of a 1D interacting non-Hermitian Aubry-Andre-Harper model for bosons. We find stable ground states in the superfluid and Mott insulating regimes under wide range of conditions in this model. We reveal a skin superfluid state induced by the non-Hermiticity from the nonreciprocal hopping. We investigate the topology of the Mott insulating phase and find its independence of the non-Hermiticity. The topological Mott insulators in this non-Hermitian system are characterized by four equal Chern numbers and a quantized shift of biorthogonal many-body polarizations. Furthermore, we show generic asymmetric expansion and correlation dynamics in the system.

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