Volume 120, Number 2, October 2017
|Number of page(s)||6|
|Section||The Physics of Elementary Particles and Fields|
|Published online||09 January 2018|
symmetry phase transition of the trimer lattices with balanced gain and loss
School of Physics and Information Technology, Shaanxi Normal University - Xi'an 710119, PRC
Received: 23 September 2017
Accepted: 7 December 2017
We theoretical investigate the properties of the parity-time -symmetric trimer lattices in which each unit cell contains balanced gain and loss sites. The impacts of different parameters, such as intra-trimer couplings, inter-trimer couplings, and on-site energy, on the symmetry phase transition and topological phase transition of the trimer lattices are discussed. Our results show that the dynamics of the density distribution is significantly dependent on the difference between the on-site energy of the different sublattices. It is interesting that the topological edge states can be found only in the cases with broken symmetry phase. In principle, such trimer lattices may be established by a well-arranged optical waveguide array.
PACS: 11.30.Er – Charge conjugation, parity, time reversal, and other discrete symmetries / 42.25.Bs – Wave propagation, transmission and absorption / 42.25.Gy – Edge and boundary effects; reflection and refraction
© EPLA, 2018
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