Quantum Physics
[Submitted on 2 Aug 2016
(v1)
, last revised 8 Jun 2017 (this version, v2)]
Title: Effects of disorder on non-unitary $\mathcal{PT}$ symmetric quantum walks
Title: 无序对非幺正$\mathcal{PT}$对称量子随机游走的影响
Abstract: $\mathcal{PT}$ symmetry, namely, a combined parity and time-reversal symmetry can make non-unitary quantum walks exhibit entirely real eigenenergy. However, it is known that the concept of $\mathcal{PT}$ symmetry can be generalized and an arbitrary anti-unitary symmetry has a possibility to substitute $\mathcal{PT}$ symmetry. The aim of the present work is to seek such non-unitary quantum walks with generalized $\mathcal{PT}$ symmetry by focusing on effects of spatially random disorder which breaks $\mathcal{PT}$ symmetry. We numerically find non-unitary quantum walks whose quasi-energy is entirely real despite $\mathcal{PT}$ symmetry is broken.
Submission history
From: Ken Mochizuki [view email][v1] Tue, 2 Aug 2016 07:45:56 UTC (2,368 KB)
[v2] Thu, 8 Jun 2017 07:02:34 UTC (2,503 KB)
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