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Parity‐Induced Localization in Periodically Driven Ring Lattices
Author(s) -
Li Liping,
Wang Bo,
He Qing,
Zhang Xuehua,
Ge Xianghong,
Mei Shuanglin
Publication year - 2021
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.202000429
Subject(s) - parity (physics) , physics , quantum tunnelling , quantum , lattice (music) , quantum mechanics , condensed matter physics , acoustics
Tunneling dynamics are investigated theoretically in ring shaped lattice with a site shifted periodically with respect to the others. A surprising finding on parity‐induced localization suggests that localization in the driven ring lattice can be generally divided into two types: odd‐parity‐induced localization and even‐parity‐induced localization, depending on the parity of number of quasi‐energy levels. Moreover, odd‐parity‐induced localization is proved to have its own distinct feature and it is not the crucial requirement to be an exact zero quasi‐energy state of classic dark state form for broad suppression of tunneling. These results deepen one's understanding about localization in a driven system and have great potential in the manipulation of quantum control.