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Title: Fragile aspects of topological transition in lossy and parity-time symmetric quantum walks

Abstract

Quantum walks often provide telling insights about the structure of the system on which they are performed. Here, in PT-symmetric and lossy dimer lattices, the topological properties of the band structure manifest themselves in the quantization of the mean displacement of such a walker. We investigate the fragile aspects of a topological transition in these two dimer models. We find that the transition is sensitive to the initial state of the walker on the Bloch sphere, and the resultant mean displacement has a robust topological component and a quasiclassical component. In PT symmetric dimer lattices, we also show that the transition is smeared by nonlinear effects that become important in the PT-symmetry broken region. By carrying out consistency checks via analytical calculations, tight-binding results, and beam-propagation-method simulations, we show that our predictions are easily testable in today’s experimental systems.

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [1]
  1. Indiana Univ. - Purdue Univ. Indianapolis (IUPUI), Indianapolis, IN (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1481974
Report Number(s):
LA-UR-18-20269
Journal ID: ISSN 2045-2322
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Scientific Reports
Additional Journal Information:
Journal Volume: 8; Journal Issue: 1; Journal ID: ISSN 2045-2322
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Mathematics

Citation Formats

Harter, Andrew K., Saxena, Avadh, and Joglekar, Yogesh N. Fragile aspects of topological transition in lossy and parity-time symmetric quantum walks. United States: N. p., 2018. Web. doi:10.1038/s41598-018-30344-6.
Harter, Andrew K., Saxena, Avadh, & Joglekar, Yogesh N. Fragile aspects of topological transition in lossy and parity-time symmetric quantum walks. United States. doi:10.1038/s41598-018-30344-6.
Harter, Andrew K., Saxena, Avadh, and Joglekar, Yogesh N. Mon . "Fragile aspects of topological transition in lossy and parity-time symmetric quantum walks". United States. doi:10.1038/s41598-018-30344-6. https://www.osti.gov/servlets/purl/1481974.
@article{osti_1481974,
title = {Fragile aspects of topological transition in lossy and parity-time symmetric quantum walks},
author = {Harter, Andrew K. and Saxena, Avadh and Joglekar, Yogesh N.},
abstractNote = {Quantum walks often provide telling insights about the structure of the system on which they are performed. Here, in PT-symmetric and lossy dimer lattices, the topological properties of the band structure manifest themselves in the quantization of the mean displacement of such a walker. We investigate the fragile aspects of a topological transition in these two dimer models. We find that the transition is sensitive to the initial state of the walker on the Bloch sphere, and the resultant mean displacement has a robust topological component and a quasiclassical component. In PT symmetric dimer lattices, we also show that the transition is smeared by nonlinear effects that become important in the PT-symmetry broken region. By carrying out consistency checks via analytical calculations, tight-binding results, and beam-propagation-method simulations, we show that our predictions are easily testable in today’s experimental systems.},
doi = {10.1038/s41598-018-30344-6},
journal = {Scientific Reports},
number = 1,
volume = 8,
place = {United States},
year = {2018},
month = {8}
}

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