Skin superfluid, topological Mott insulators, and asymmetric dynamics in
interacting non-Hermitian Aubry-Andre-Harper models
- URL: http://arxiv.org/abs/2001.07088v2
- Date: Mon, 22 Jun 2020 15:04:45 GMT
- Title: Skin superfluid, topological Mott insulators, and asymmetric dynamics in
interacting non-Hermitian Aubry-Andre-Harper models
- Authors: Dan-Wei Zhang, Yu-Lian Chen, Guo-Qing Zhang, Li-Jun Lang, Zhi Li, and
Shi-Liang Zhu
- Abstract summary: We study the 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.
- Score: 3.779287142403951
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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