Explicit definition of PT symmetry for nonunitary quantum walks with gain and loss

Mochizuki, Ken; Kim, Dakyeong; Obuse, Hideaki

Physical Review A, 2016, 93(6), 062116

Permalink : https://hdl.handle.net/2115/62592

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論文情報

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アクセス権
open access
URI
https://hdl.handle.net/2115/62592
タイトル
Explicit definition of PT symmetry for nonunitary quantum walks with gain and loss
著者
Mochizuki, Ken ; Kim, Dakyeong ; Obuse, Hideaki
著者名
Mochizuki, Ken
著者名
Kim, Dakyeong
e-Rad_Researcher
50415121
著者名
Obuse, Hideaki
言語
英語
キーワード
Nuclear spin
Nuclear magnetic resonance
Magnetic fields
Polarization
Magnetic field sensors
発行日
2016-06-18
出版者
American Physical Society (APS)
収録物名
Physical Review A
巻(号)
93(6)
ページ
062116
抄録
PT symmetry, that is, a combined parity and time-reversal symmetry, is a key milestone for non-Hermitian systems exhibiting entirely real eigenenergy. In the present work, motivated by a recent experiment, we study PT symmetry of the time-evolution operator of nonunitary quantum walks. We present the explicit definition of PT symmetry by employing a concept of symmetry time frames. We provide a necessary and sufficient condition so that the time-evolution operator of the nonunitary quantum walk retains PT symmetry even when parameters of the model depend on position. It is also shown that there exist extra symmetries embedded in the time-evolution operator. Applying these results, we clarify that the nonunitary quantum walk in the experiment does have PT symmetry.
資源タイプ
学術雑誌論文
出版タイプ
Version of Record
権利情報
©2016 American Physical Society
PISSN
2469-9926
関連情報 (isIdenticalTo)
出版社版DOI
https://doi.org/10.1103/PhysRevA.93.062116