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Working in the context of the Su-Schreiffer-Heeger (SSH) model, the effect of topological transitions on the structure and properties of bulk position-space wavefunctions is studied for a particle undergoing a quantum walk in a…

Quantum Physics · Physics 2018-08-31 David S. Simon , Shuto Osawa , Alexander V. Sergienko

We study the emergence of topological superconductivity in a two-dimensional (2D) Weyl system, composed of stacked Su-Schrieffer-Heeger (SSH) chains. A previous analysis of the model showed that the addition of an attractive Hubbard…

Superconductivity · Physics 2022-08-18 Peter Rosenberg , Efstratios Manousakis

Symmetries play a major role in identifying topological phases of matter and in establishing a direct connection between protected edge states and topological bulk invariants via the bulk-boundary correspondence. One-dimensional lattices…

The emergence of complex spectra in non-Hermitian systems causes dramatic changes even under weak perturbations, significantly hindering their precise control for study and integration into practical applications. Achieving a controlled…

Quantum Physics · Physics 2025-07-04 Sayed Ali Akbar Ghorashi , Masatoshi Sato

We demonstrate robust single-mode lasing in a non-Hermitian 1D trivial Su-Schrieffer-Heeger defective lattice. This structure exhibits a significantly lower threshold power compared to the non-defective lattice, with single-mode lasing…

Optics · Physics 2025-02-03 Abouzar Gharajeh , Kiyanoush Goudarzi , Fargol Seifollahi , Qing Gu

The usual Su-Schrieffer-Heeger model with an even number of lattice sites possesses two degenerate zero energy modes. The degeneracy of the zero energy modes leads to the mixing between the topological left and right edge states, which…

Quantum Physics · Physics 2020-08-26 Lu Qi , Guo-Li Wang , Shutian Liu , Shou Zhang , Hong-Fu Wang

We consider a three-dimensional model of coupled Su-Schrieffer-Heeger (SSH) chains. The analytically soluble model discussed here reliably reproduces the features of the band structure of crystalline polyacetylene as obtained from…

Strongly Correlated Electrons · Physics 2021-10-22 Peter Rosenberg , Efstratios Manousakis

We investigate the quantum phases of a half-filled generalized interacting Su-Schrieffer-Heeger model with intracell, nearest-neighbor, and next-nearest-neighbor intercell hoppings, together with an on-site inter-sublattice interaction. In…

Strongly Correlated Electrons · Physics 2026-04-08 Jing-Hua Niu , Jia-Lin Liu , Ke Wang , Shan-Wen Tsai , Jin Zhang

The ability to tailor with a high accuracy the inter-site connectivity in a lattice is a crucial tool for realizing novel topological phases of matter. Here, we report the experimental realization of photonic dimer chains with long-range…

Optics · Physics 2023-07-06 F. Pellerin , R. Houvenaghel , W. A. Coish , I. Carusotto , P. St-Jean

We briefly review the advanced mathematical language of fiber bundle structures and how they can be used to classify two-level quantum systems based on the analysis of the topological properties of their sets of state vectors. The…

Quantum Physics · Physics 2023-03-13 V. Nam Do

Harnessing topological effects offers a promising route to protect quantum states of light from imperfections, potentially enabling more robust platforms for quantum information processing. This capability is particularly relevant for…

Quantum Physics · Physics 2025-10-29 A. Zecchetto , J. -R. Coudevylle , M. Morassi , A. Lemaître , M. I. Amanti , S. Ducci , F. Baboux

This article studies a non-Hermitian Su-Schrieffer-Heeger (SSH) model which has periodically staggered Hermitian and non-Hermitian dimers. The changes in topological phases of the considered chiral symmetric model with respect to the…

Quantum Physics · Physics 2024-12-30 A Niveth , S Karthiga , M Senthilvelan

We introduce a modular silicon-photonic Fabry-Perot resonator lattice based on cascaded tunable Sagnac loop reflectors. Each SLR is controlled by a single directional-coupler cross-coupling coefficient, enabling modular control of the…

Topological phases enable protected transport along the edges of materials, offering immunity against scattering from disorder and imperfections. These phases were suggested and demonstrated not only for electronic systems, but also for…

We investigate the formation of multipole topological solitons at the edges of two and three coupled parallel Su-Schrieffer-Heeger (SSH) waveguide arrays. We show that independent variations of waveguide spacing in the unit cells (dimers)…

Optics · Physics 2024-06-28 Khalil Sabour , Yaroslav V. Kartashov

Topological physics strongly relies on prototypical lattice model with particular symmetries. We report here on a theoretical and experimental work on acoustic waveguides that is directly mapped to the one-dimensional Su-Schrieffer-Heeger…

Mesoscale and Nanoscale Physics · Physics 2022-01-13 Antonin Coutant , Audrey Sivadon , Liyang Zheng , Vassos Achilleos , Olivier Richoux , Georgios Theocharis , Vincent Pagneux

We use an entanglement measure that respects the superselection of particle number to study the non-local properties of symmetry-protected topological edge states. Considering half-filled M-leg Su-Schrieffer-Heeger (SSH) ladders as an…

Quantum Physics · Physics 2020-11-12 K. Monkman , J. Sirker

We explore special features of quantum light-matter interactions inside structured waveguides due to their finite bandwidth, band edges, and non-trivial topological properties. We model the waveguides as either a tight-binding (TB) chain or…

Optics · Physics 2023-12-07 Rupak Bag , Dibyendu Roy

We study the ground-state phase diagram of an interacting staggered Su-Schrieffer-Heeger (SSH) ladder in the vicinity of the Gaussian quantum critical point. The corresponding effective field theory is a double-frequency sine-Gordon (DSG)…

Strongly Correlated Electrons · Physics 2020-07-15 A. A. Nersesyan

$\mathbb{Z}$-classified topological phases lead to larger-than-unity topological states. However, these multiple topological states are only localized at the corners in nonlocal systems. Here, first, we rigorously prove that the multiple…

Mesoscale and Nanoscale Physics · Physics 2025-01-07 Yimeng Sun , Linjuan Wang , Huiling Duan , Jianxiang Wang
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