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We investigate quantum transport and thermoelectrical properties of a finite-size Su-Schrieffer-Heeger model, a paradigmatic model for a one-dimensional topological insulator, which displays topologically protected edge states. By coupling…

Statistical Mechanics · Physics 2018-07-25 Sina Böhling , Georg Engelhardt , Gloria Platero , Gernot Schaller

The study of multipartite entanglement is much less developed than the bipartite scenario. Recently, a string of results have proposed using tools from Topological Data Analysis (TDA) to attach topological quantities to multipartite states.…

Quantum Physics · Physics 2025-05-08 Raghav Banka , Matthew Hagan , Nathan Wiebe

Despite extensive studies on the one-dimensional Su-Schrieffer-Heeger-Hubbard (SSHH) model, the variant incorporating next-nearest neighbour hopping remains largely unexplored. Here, we investigate the ground-state properties of this…

Strongly Correlated Electrons · Physics 2024-06-21 Pei-Jie Chang , Jinghui Pi , Muxi Zheng , Yu-Ting Lei , Dong Ruan , Gui-Lu Long

In order to transport information with topological protection, we reveal and demonstrate experimentally the existence of a characteristic length $L_c$, coined as the transport length, in the bulk size for edge states in one-dimensional…

The interplay between non-trivial band topology and strong electronic correlations is a central challenge in modern condensed matter physics. We investigate this competition on a two-leg ladder model with a p-wave-like hybridisation between…

Strongly Correlated Electrons · Physics 2025-11-13 Aminul Hussain , Nisa Ara , Rudranil Basu , Sudeshna Sen

Some thermodynamical properties of solids, such as heat capacity and magnetic susceptibility, have recently been shown to be linked to the amount of entanglement in a solid. However this entanglement may appear a mere mathematical artifact…

Quantum Physics · Physics 2016-09-08 G. De Chiara , C. Brukner , R. Fazio , G. M. Palma , V. Vedral

In this paper, we review the basic concepts of topologically protected edge modes using the Su Schrieffer Heeger (SSH) model, originally introduced to describe electrical conductivity in doped polyacetylene polymer chains. We then propose…

Mesoscale and Nanoscale Physics · Physics 2026-02-04 L. Q. English , A. Halchenko , F. Palmero

Symmetry-protected topological (SPT) phases are short-range entangled quantum states characterized by anomalous edge behavior, a manifestation of the bulk-boundary correspondence for topological phases. Moreover, the Li-Haldane conjecture…

Strongly Correlated Electrons · Physics 2025-06-17 Chao Xu , Yunlong Zang , Yixin Ma , Yingfei Gu , Shenghan Jiang

We consider a Su-Schrieffer-Heeger chain to which we attach a semi-infinite undimerized chain (lead) to both ends. We study the effect of the openness of the SSH model on its properties. A representation of the infinite system using an…

Mesoscale and Nanoscale Physics · Physics 2023-07-03 Alexei Bissonnette , Nicolas Delnour , Andrew Mckenna , Hichem Eleuch , Michael Hilke , Richard MacKenzie

We demonstrate a platform for synthetic dimensions based on coupled Rydberg levels in ultracold atoms, and we implement the single-particle Su-Schrieffer-Heeger (SSH) Hamiltonian. Rydberg levels are interpreted as synthetic lattice sites,…

Atomic Physics · Physics 2022-03-09 S. K. Kanungo , J. D. Whalen , Y. Lu , M. Yuan , S. Dasgupta , F. B. Dunning , K. R. A. Hazzard , T. C. Killian

Generalizing the well-known spin-squeezing inequalities, we study the relation between squeezing of collective $N$-particle $su(d)$ operators and many-body entanglement geometry in multi-particle systems. For that aim, we define the set of…

Quantum Physics · Physics 2025-09-03 Giuseppe Vitagliano , Otfried Gühne , Géza Tóth

We investigate the entanglement spectrum of the ground state of Su-Schrieffer-Heeger-Hubbard model. The topological phases of the model can be identified by degeneracy of the largest eigenvalues of entanglement spectrum. The study of the…

Quantum Physics · Physics 2016-11-02 Bing-Tian Ye , Liang-Zhu Mu , Heng Fan

The entanglement entropy encodes fundamental characteristics of quantum many-body systems, and is particularly subtle in non-Hermitian settings where eigenstates generically become non-orthogonal. In this work, we find that negative…

Quantum Physics · Physics 2025-11-17 Wen-Tan Xue , Ching Hua Lee

Topological excitations or defects such as solitons are ubiquitous throughout physics, supporting numerous interesting phenomena like zero energy modes with exotic statistics and fractionalized charges. In this paper, we study such objects…

Quantum Physics · Physics 2023-10-11 David X. Horvath , Shachar Fraenkel , Stefano Scopa , Colin Rylands

We analyze interacting ultra-cold bosonic atoms in a one-dimensional (1D) super-lattice potential with alternating tunneling rates t_1 and t_2 and inversion symmetry, which is the bosonic analogue of the Su-Schrieffer-Heeger (SSH) model. A…

Quantum Gases · Physics 2014-10-08 Fabian Grusdt , Michael Höning , Michael Fleischhauer

We determine the bipartite entanglement bounds of two interacting electrons in deeply interlocked Hopf-linked quantum rings via exact diagonalization of the unexpanded 3D Coulomb interaction. This identifies an exact continuous spatial…

Mesoscale and Nanoscale Physics · Physics 2026-05-27 V. Yogesh , Prosenjit Maity

We argue that symmetry-broken phases proximate in phase space to symmetry-protected topological phases can exhibit dynamical signatures of topological physics. This dynamical, symmetry-protected "topological" regime is characterized by…

Strongly Correlated Electrons · Physics 2019-06-26 Daniel E. Parker , Romain Vasseur , Thomas Scaffidi

A special feature of the ground state in a topologically ordered phase is the existence of large scale correlations depending only on the topology of the regions. These correlations can be detected by the topological entanglement entropy or…

Quantum Physics · Physics 2016-02-15 Kohtaro Kato , Fabian Furrer , Mio murao

Gapped two-dimensional topological phases can feature ungappable edge states which are robust even in the absence of protecting symmetries. In this work we show that a multipartite entanglement measure recently proposed in the context of…

Quantum Physics · Physics 2022-07-20 Karthik Siva , Yijian Zou , Tomohiro Soejima , Roger S. K. Mong , Michael P. Zaletel

Symmetry-protected topological phases of matter, characterized by non-trivial band topology, are spectrally gapped and show non-trivial boundary phenomena. Here, we show that scattering states when interjected by an array of periodically…

Mesoscale and Nanoscale Physics · Physics 2026-04-16 Rahul Singh , Ritajit Kundu , Arijit Kundu , Adhip Agarwala