Breaking of PT-symmetry in bounded and unbounded scattering systems

PT-symmetric scattering systems with balanced gain and loss can undergo a symmetry-breaking transition in which the eigenvalues of the nonunitary scattering matrix change their phase shifts from real to complex values. We relate the PT-symmetry-breaking points of such an unbounded scattering system...

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Main Authors: Ambichl, Philipp, Makris, Konstantinos G., Ge, Li, Chong, Yidong, Stone, A. Douglas, Rotter, Stefan
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2014
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Online Access:https://hdl.handle.net/10356/102331
http://hdl.handle.net/10220/18974
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1023312023-02-28T19:42:06Z Breaking of PT-symmetry in bounded and unbounded scattering systems Ambichl, Philipp Makris, Konstantinos G. Ge, Li Chong, Yidong Stone, A. Douglas Rotter, Stefan School of Physical and Mathematical Sciences DRNTU::Science::Mathematics PT-symmetric scattering systems with balanced gain and loss can undergo a symmetry-breaking transition in which the eigenvalues of the nonunitary scattering matrix change their phase shifts from real to complex values. We relate the PT-symmetry-breaking points of such an unbounded scattering system to those of the underlying bounded systems. In particular, we show how the PT thresholds in the scattering matrix of the unbounded system translate into analogous transitions in the Robin boundary conditions of the corresponding bounded systems. Based on this relation, we argue and then confirm that the PT transitions in the scattering matrix are, under very general conditions, entirely insensitive to a variable coupling strength between the bounded region and the unbounded asymptotic region, a result that can be tested experimentally and visualized using the concept of Smith charts. Published version 2014-03-26T03:50:14Z 2019-12-06T20:53:32Z 2014-03-26T03:50:14Z 2019-12-06T20:53:32Z 2013 2013 Journal Article Ambichl, P., Makris, K. G., Ge, L., Chong, Y., Stone, A. D., & Rotter, S. (2013). Breaking of PT Symmetry in Bounded and Unbounded Scattering Systems. Physical Review X, 3(4), 041030-. 2160-3308 https://hdl.handle.net/10356/102331 http://hdl.handle.net/10220/18974 10.1103/PhysRevX.3.041030 en Physical review X © 2013 American Physical Society. This paper was published in Physical Review X and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at the following official DOI: [http://dx.doi.org/10.1103/PhysRevX.3.041030]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Mathematics
spellingShingle DRNTU::Science::Mathematics
Ambichl, Philipp
Makris, Konstantinos G.
Ge, Li
Chong, Yidong
Stone, A. Douglas
Rotter, Stefan
Breaking of PT-symmetry in bounded and unbounded scattering systems
description PT-symmetric scattering systems with balanced gain and loss can undergo a symmetry-breaking transition in which the eigenvalues of the nonunitary scattering matrix change their phase shifts from real to complex values. We relate the PT-symmetry-breaking points of such an unbounded scattering system to those of the underlying bounded systems. In particular, we show how the PT thresholds in the scattering matrix of the unbounded system translate into analogous transitions in the Robin boundary conditions of the corresponding bounded systems. Based on this relation, we argue and then confirm that the PT transitions in the scattering matrix are, under very general conditions, entirely insensitive to a variable coupling strength between the bounded region and the unbounded asymptotic region, a result that can be tested experimentally and visualized using the concept of Smith charts.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Ambichl, Philipp
Makris, Konstantinos G.
Ge, Li
Chong, Yidong
Stone, A. Douglas
Rotter, Stefan
format Article
author Ambichl, Philipp
Makris, Konstantinos G.
Ge, Li
Chong, Yidong
Stone, A. Douglas
Rotter, Stefan
author_sort Ambichl, Philipp
title Breaking of PT-symmetry in bounded and unbounded scattering systems
title_short Breaking of PT-symmetry in bounded and unbounded scattering systems
title_full Breaking of PT-symmetry in bounded and unbounded scattering systems
title_fullStr Breaking of PT-symmetry in bounded and unbounded scattering systems
title_full_unstemmed Breaking of PT-symmetry in bounded and unbounded scattering systems
title_sort breaking of pt-symmetry in bounded and unbounded scattering systems
publishDate 2014
url https://hdl.handle.net/10356/102331
http://hdl.handle.net/10220/18974
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