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The Su-Schrieffer-Heeger (SSH) model, which captures the most striking transport properties of the conductive organic polymer $trans$-polyacetylene, provides perhaps the most basic model system supporting topological excitations. The…

Quantum Gases · Physics 2017-05-12 Eric J. Meier , Fangzhao Alex An , Bryce Gadway

Finding new topological materials and understanding the physical essence of topology are crucial problems for researchers. We studied the topological property based on several proposed Su-Schrieffer-Heeger (SSH) related models. We show that…

Strongly Correlated Electrons · Physics 2019-05-29 Yan-Chao Li , Jing Zhang , Hai-Qing Lin

We discuss in detail the implementation of an open-system quantum simulator with Rydberg states of neutral atoms held in an optical lattice. Our scheme allows one to realize both coherent as well as dissipative dynamics of complex spin…

Quantum Physics · Physics 2015-03-19 H. Weimer , M. Müller , H. P. Büchler , I. Lesanovsky

We propose a simple setup of Rydberg atoms in a honeycomb lattice which gives rise to topologically protected edge states. The proposal is based on the combination of dipolar exchange interaction, which couples the internal angular momentum…

Alkaline-earth and ytterbium cold atomic gases make it possible to simulate SU(N)-symmetric fermionic systems in a very controlled fashion. Such a high symmetry is expected to give rise to a variety of novel phenomena ranging from molecular…

Quantum Gases · Physics 2016-03-01 S. Capponi , P. Lecheminant , K. Totsuka

Higher-order topological phase as a generalization of Berry phase attracts an enormous amount of research. The current theoretical models supporting higher-order topological phases, however, cannot give the connection between lower and…

Quantum Physics · Physics 2021-12-22 Yao Wang , Yongguan Ke , Yi-Jun Chang , Yong-Heng Lu , Jun Gao , Chaohong Lee , Xian-Min Jin

The concept of topological phases is a powerful framework to characterize ground states of quantum many-body systems that goes beyond the paradigm of symmetry breaking. While a few topological phases appear in condensed matter systems, a…

Spontaneous onset of a low temperature topologically ordered phase in a 2-dimensional (2D) lattice model of uniaxial liquid crystal (LC) was debated extensively pointing to a suspected underlying mechanism affecting the RG flow near the…

Soft Condensed Matter · Physics 2021-06-29 B. Kamala Latha , Surajit Dhara , V. S. S. Sastry

The mutual feedback between quantum condensed matter and cold atom physics has been quite fruitful throughout history and continues to inspire ongoing research. Motivated by the recent activities on the quantum simulation of topological…

Strongly Correlated Electrons · Physics 2025-08-15 Pengwei Zhao , Gang v. Chen

The quest to realize topological band structures in artificial matter is strongly focused on lattice systems, and only quantum Hall physics is known to appear naturally also in the continuum. In this letter, we present a proposal based on a…

Quantum Gases · Physics 2021-01-22 Sebastian Weber , Przemyslaw Bienias , Hans Peter Büchler

Topological photonic systems offer light transport that is robust against defects and disorder, promising a new generation of chip-scale photonic devices and facilitating energy-efficient on-chip information routing and processing. However,…

We consider a one-dimensional lattice of atoms with laser excitation to a Rydberg state and spontaneous emission. The atoms are coupled due to the dipole-dipole interaction of the Rydberg states. This driven-dissipative system has a broad…

Quantum Gases · Physics 2013-11-27 Anzi Hu , Tony E. Lee , Charles W. Clark

Topological states of matter, as quantum Hall systems or topological insulators, cannot be distinguished from ordinary matter by local measurements in the bulk of the material. Instead, global measurements are required, revealing…

We investigate a spinless Fermi gas trapped in a honeycomb optical lattice with attractive nearest-neighbor interactions. At zero temperature, mean-field theory predicts three quantum phase transitions, two being topological. At low…

Quantum Gases · Physics 2015-05-19 Dario Poletti , Christian Miniatura , Benoit Gremaud

We present a simple scheme for implementing a one-dimensional (1D) magnetic-flux lattice of ultracold fermionic spin-$1/2$ atoms. The resulting tight-binding model supports gapped and gapless topological phases, and chiral currents for…

Quantum Gases · Physics 2017-11-02 Y. Deng , R. Lü , L. You

We show that the evolution of two-component particles governed by a two-dimensional spin-orbit lattice Hamiltonian can reveal transitions between topological phases. A kink in the mean width of the particle distribution signals the closing…

Quantum Gases · Physics 2017-11-16 Wei-Wei Zhang , Barry C. Sanders , Simon Apers , Sandeep K. Goyal , David L. Feder

The highly tunable nature of synthetic quantum materials -- both in the solid-state and cold atom contexts -- invites examining which microscopic ingredients aid in the realization of correlated phases of matter such as superconductors.…

To a significant extent, the rich physical properties of photonic crystals are determined by the underlying geometry, in which the composed symmetry operators and their combinations contribute to the unique topological invariant to…

Optics · Physics 2022-08-10 Zhenzhen Liu Guochao Wei , Jun-Jun Xiao

Gapless Dirac surface states are protected at the interface of topological and normal band insulators. In a binary superlattice bearing such interfaces, we establish that valley-dependent dimerization of symmetry-unrelated Dirac surface…

Materials Science · Physics 2014-10-31 Xiao Li , Fan Zhang , Qian Niu , Ji Feng

We review recent experimental progresses on layered topological materials, mainly focusing on transitional metal dichalcogenides with various lattice types including 1T, Td and 1T' structural phases. Their electronic quantum states are…

Mesoscale and Nanoscale Physics · Physics 2019-03-25 Junchao Ma , Ke Deng , Lu Zheng , Sanfeng Wu , Zheng Liu , Shuyun Zhou , Dong Sun