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Titlebook: Effective Non-Hermiticity and Topology in Markovian Quadratic Bosonic Dynamics; Vincent Paul Flynn Book 2024 The Editor(s) (if applicable)

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书目名称Effective Non-Hermiticity and Topology in Markovian Quadratic Bosonic Dynamics
编辑Vincent Paul Flynn
视频video
概述Nominated as an outstanding PhD thesis by the Dartmouth College Physics and Astronomy faculty.Provides an in-depth investigation of effective non-Hermiticity in non-interacting bosonic systems.Makes n
丛书名称Springer Theses
图书封面Titlebook: Effective Non-Hermiticity and Topology in Markovian Quadratic Bosonic Dynamics;  Vincent Paul Flynn Book 2024 The Editor(s) (if applicable)
描述.This thesis provides an in-depth investigation of effective non-Hermiticity and topology in many-mode, non-interacting, bosonic systems. It also establishes the extent to which one must move beyond the Hamiltonian, closed-system setting, in order to uncover signatures of genuine symmetry-protected topological (SPT) physics in "free" (mean-field) bosons. While SPT phases of free fermionic matter and their associated zero-energy boundary-localized modes have been thoroughly explored, similar physics in free bosonic systems still remains elusive. No fermionic counterpart exists for the distinctive dynamical behavior that arises from the effective non-Hermiticity, intrinsic even at equilibrium, to bosonic Hamiltonians. Therefore, a much needed paradigm shift is required to address major conceptual roadblocks in the search for SPT bosonic phases..The analysis within develops, in particular, the notion of topological metastability in quadratic bosonic systems subject to Markovian dissipation. The resulting dynamical paradigm was found to be characterized by both a sharp separation between transient and asymptotic dynamics and non-trivial topological invariants. It also features long-liv
出版日期Book 2024
关键词free bosonic Hamiltonians; effective non-Hermiticity; symmetry-protected topological phases; SPT phases
版次1
doihttps://doi.org/10.1007/978-3-031-52045-7
isbn_softcover978-3-031-52047-1
isbn_ebook978-3-031-52045-7Series ISSN 2190-5053 Series E-ISSN 2190-5061
issn_series 2190-5053
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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发表于 2025-3-21 21:37:28 | 显示全部楼层
Background: Quadratic Bosonic Hamiltonianse center ourselves in, we discuss the theoretical frameworks necessary for describing dynamics generated by a QBH. Of particular relevance is the intrinsic non-Hermiticity built into the Heisenberg dynamics of those systems described by QBHs without total number symmetry. Two distinct notions of sta
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The Realm of PossibilitiesBL derived by applying the first recipe of Chap. . to the fermionic Kitaev chain (FKC) Hamiltonian. The resulting QBL is topologically metastable in certain parameter regimes that overlap with the topological phase diagram of the FKC and, most importantly, sustains an MB pair that derive from the Ma
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