Amplification of quantum signals by the non-Hermitian skin effect

The non-Hermitian skin effect (NHSE) is a phenomenon whereby certain non-Hermitian lattice Hamiltonians host an extensive number of eigenmodes condensed to the boundary, called skin modes. Although the NHSE has mostly been studied in the classical or single-particle regime, it can also manifest in i...

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Main Authors: Wang, Qiang, Zhu, Changyan, Wang, You, Zhang, Baile, Chong, Yidong
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2023
Subjects:
Online Access:https://hdl.handle.net/10356/164303
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author Wang, Qiang
Zhu, Changyan
Wang, You
Zhang, Baile
Chong, Yidong
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Wang, Qiang
Zhu, Changyan
Wang, You
Zhang, Baile
Chong, Yidong
author_sort Wang, Qiang
collection NTU
description The non-Hermitian skin effect (NHSE) is a phenomenon whereby certain non-Hermitian lattice Hamiltonians host an extensive number of eigenmodes condensed to the boundary, called skin modes. Although the NHSE has mostly been studied in the classical or single-particle regime, it can also manifest in interacting quantum systems with boson number nonconserving processes. We show that lattices of coupled nonlinear resonators can function as reciprocal quantum amplifiers. A one-dimensional chain exhibiting the NHSE can perform strong photon amplification aided by the skin modes, which scales exponentially with the chain length and outperforms alternative lattice configurations lacking the NHSE. Moreover, two-dimensional lattices can perform directional photon amplification between different lattice corners, due to the two-dimensional NHSE. These quantum amplifiers are based on experimentally feasible lattice configurations with uniform parametric driving schemes.
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spelling ntu-10356/1643032023-02-28T20:09:20Z Amplification of quantum signals by the non-Hermitian skin effect Wang, Qiang Zhu, Changyan Wang, You Zhang, Baile Chong, Yidong School of Physical and Mathematical Sciences Centre for Disruptive Photonic Technologies (CDPT) Science::Physics Classical Particle Eigen Modes The non-Hermitian skin effect (NHSE) is a phenomenon whereby certain non-Hermitian lattice Hamiltonians host an extensive number of eigenmodes condensed to the boundary, called skin modes. Although the NHSE has mostly been studied in the classical or single-particle regime, it can also manifest in interacting quantum systems with boson number nonconserving processes. We show that lattices of coupled nonlinear resonators can function as reciprocal quantum amplifiers. A one-dimensional chain exhibiting the NHSE can perform strong photon amplification aided by the skin modes, which scales exponentially with the chain length and outperforms alternative lattice configurations lacking the NHSE. Moreover, two-dimensional lattices can perform directional photon amplification between different lattice corners, due to the two-dimensional NHSE. These quantum amplifiers are based on experimentally feasible lattice configurations with uniform parametric driving schemes. Ministry of Education (MOE) National Research Foundation (NRF) Published version This work was supported by the Singapore MOE Academic Research Fund Tier 3 Grant No. MOE2016-T3-1-006 and Tier 1 Grant No. RG148/20, and by the National Research Foundation Competitive Research Programs No. NRF-CRP23-2019-0005 and No. NRF-CRP23-2019-0007. 2023-01-16T01:14:24Z 2023-01-16T01:14:24Z 2022 Journal Article Wang, Q., Zhu, C., Wang, Y., Zhang, B. & Chong, Y. (2022). Amplification of quantum signals by the non-Hermitian skin effect. Physical Review B, 106(2), 024301-1-024301-9. https://dx.doi.org/10.1103/PhysRevB.106.024301 1098-0121 https://hdl.handle.net/10356/164303 10.1103/PhysRevB.106.024301 2-s2.0-85134874120 2 106 024301-1 024301-9 en MOE2016-T3-1-006 RG148/20 NRF-CRP23-2019-0005 NRF-CRP23-2019-0007 Physical Review B © 2022 American Physical Society. All rights reserved. This paper was published in Physical Review B and is made available with permission of American Physical Society. application/pdf
spellingShingle Science::Physics
Classical Particle
Eigen Modes
Wang, Qiang
Zhu, Changyan
Wang, You
Zhang, Baile
Chong, Yidong
Amplification of quantum signals by the non-Hermitian skin effect
title Amplification of quantum signals by the non-Hermitian skin effect
title_full Amplification of quantum signals by the non-Hermitian skin effect
title_fullStr Amplification of quantum signals by the non-Hermitian skin effect
title_full_unstemmed Amplification of quantum signals by the non-Hermitian skin effect
title_short Amplification of quantum signals by the non-Hermitian skin effect
title_sort amplification of quantum signals by the non hermitian skin effect
topic Science::Physics
Classical Particle
Eigen Modes
url https://hdl.handle.net/10356/164303
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