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arXiv · 2001.07088

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

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

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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Dan-Wei Zhang, Yu-Lian Chen, Guo-Qing Zhang, Li-Jun Lang, Zhi Li, Shi-Liang Zhu. 2020-01-20. Skin superfluid, topological Mott insulators, and asymmetric dynamics in interacting non-Hermitian Aubry-Andre-Harper models. https://doi.org/10.1103/physrevb.101.235150

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