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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/8678
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dc.contributor.authorEstake, Kiran Babasaheb-
dc.contributor.authorVishnu, T R-
dc.contributor.authorRoy, Dibyendu-
dc.date.accessioned2026-02-27T11:20:43Z-
dc.date.available2026-02-27T11:20:43Z-
dc.date.issued2025-12-16-
dc.identifier.citationPhysical Review B, 2025, Vol. 112, AR No. 214314en_US
dc.identifier.issn2469-9969-
dc.identifier.urihttp://hdl.handle.net/2289/8678-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en_US
dc.description.abstractWe propose a Hermitian quadratic bosonic model (QBH) whose dynamical matrix exhibits distinct topological and dynamical phenomena depending on whether the hopping and pairing amplitudes are real or purely imaginary. In the real-parameter regime, the dynamical matrix is unitarily equivalent to four decoupled copies of the sublattice-symmetric non-Hermitian Su-Schrieffer-Heeger (nSSH2) model, thereby inheriting its topological phases and energy spectrum, including the Möbius phase, a gapless topological phase with fractional winding number, having no Hermitian counterpart. We show that the dynamics generated by the QBH Hamiltonian naturally reproduces non-Hermitian time evolution, without invoking nonlinear Schrödinger dynamics or ad hoc normalization. It is demonstrated by analytically calculating the Loschmidt amplitude and computing the dynamical topological order parameter under periodic boundary conditions, which displays a distinct chiral response in the Möbius phase. In contrast, when the hopping and pairing terms are taken to be purely imaginary, the dynamical matrix becomes unitarily equivalent to a different version of the sublattice-symmetric non-Hermitian Su-Schrieffer-Heeger (nSSH1) model that supports only two topological phases, trivial and nontrivial, and the Möbius phase disappears. The latter system exhibits sublattice-dependent chiral amplification under open boundary conditions. We show that this amplification arises from the nontrivial topology of the dynamical matrix, establishing a clear link between topological phase and amplification behavior in the imaginary-parameter regime.en_US
dc.language.isoenen_US
dc.publisherPhysical Review Ben_US
dc.relation.urihttps://doi.org/10.48550/arXiv.2508.14560en_US
dc.relation.urihttps://doi.org/10.1103/8xgq-ckmhen_US
dc.rights©2026 American Physical Society.en_US
dc.subjectPhotonicsen_US
dc.subjectTopological phases of matteren_US
dc.subjectNon-Hermitian systemsen_US
dc.subjectOptical parametric oscillators & amplifiersen_US
dc.subjectBogoliubov-de Gennes equationsen_US
dc.subjectSu-Schrieffer-Heeger modelen_US
dc.titleFrom chiral topological dynamics to chiral topological amplification: Real versus imaginary parameters in a Hermitian bosonic chainen_US
dc.typeArticleen_US
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