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The interplay between the spin-orbit and Zeeman interactions acting on a spinful Su-Schrieffer-Heeger model is studied based on an InAs nanowire subjected to a periodic gate potential along the axial direction. It is shown that a nontrivial…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Zhi-Hai Liu , O. Entin-Wohlman , A. Aharony , J. Q. You , H. Q. Xu

We study how the topological properties of a one-dimensional staggered lattice, loaded into states with orbital angular momentum $l=1$, can be controlled simply by tuning the relative angle between sites. The original system under…

Quantum Gases · Physics 2026-05-07 Yunjia Zhai , Anselmo M. Marques , Ricardo G. Dias , Verònica Ahufinger , David Viedma

In the usual Su-Schrieffer-Heeger (SSH) chain, the topology of the energy spectrum is divided into two categories in different parameter regions. Here we study the topological and nontopological edge states induced by qubit-assisted…

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

Synthetic fields applied to ultracold quantum gases can realize topological phases that transcend conventional Bose and Fermi-liquid paradigms. Raman laser beams in particular are under scrutiny as a route to create synthetic fields in…

Strongly Correlated Electrons · Physics 2018-08-09 Hoi-Yin Hui , Mengsu Chen , S. Tewari , V. W. Scarola

We consider a system of interacting spin-one atoms in a hexagonal lattice under the presence of a synthetic gauge field. Quenching the quadratic Zeeman field is shown to lead to a dynamical instability of the edge modes. This, in turn,…

Quantum Gases · Physics 2015-12-15 Bogdan Galilo , Derek K. K. Lee , Ryan Barnett

Fusion category symmetries are finite symmetries in 1+1 dimensions described by unitary fusion categories. We classify 1+1d time-reversal invariant bosonic symmetry protected topological (SPT) phases with fusion category symmetry by using…

Strongly Correlated Electrons · Physics 2021-05-27 Kansei Inamura

We show that edges of Quantum Spin Hall topological insulators represent a natural platform for realization of exotic supersolid phase. On one hand, fermionic edge modes are helical due to the nontrivial topology of the bulk. On the other…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 O. M. Yevtushenko , A. M. Tsvelik

We analyze the static and dynamical properties of a one-dimensional topological lattice, the fermionic Su-Schrieffer-Heeger model, in the presence of on-site interactions. Based on a study of charge and spin correlation functions, we…

Quantum Gases · Physics 2018-06-06 L. Barbiero , L. Santos , N. Goldman

We analyze a tripod atom light coupling scheme characterized by two dark states playing the role of quasi-spin states. It is demonstrated that by properly configuring the coupling laser fields, one can create a lattice with spin-dependent…

Quantum Physics · Physics 2021-12-08 E. Gvozdiovas , P. Račkauskas , G. Juzeliūnas

We propose to manipulate topological polaritons in optomechanical ladders consisting of an optical Su-Schrieffer-Heeger (SSH) chain and a mechanical SSH chain connected through optomechanical (interchain) interactions. We show that the…

Quantum Physics · Physics 2025-07-16 Jia-Kang Wu , Xun-Wei Xu , Hui Jing , Le-Man Kuang , Franco Nori , Jie-Qiao Liao

We study spin systems which exhibit symmetries that act on a fractal subset of sites, with fractal structures generated by linear cellular automata. In addition to the trivial symmetric paramagnet and spontaneously symmetry broken phases,…

Strongly Correlated Electrons · Physics 2019-01-16 Trithep Devakul , Yizhi You , F. J. Burnell , S. L. Sondhi

It has been proposed recently that interacting Symmetry Protected Topological (SPT) phases can be classified using cobordism theory. We test this proposal in the case of fermionic SPT phases with Z/2 symmetry, where Z/2 is either…

Strongly Correlated Electrons · Physics 2016-02-09 Anton Kapustin , Ryan Thorngren , Alex Turzillo , Zitao Wang

Ground states of spin lattices can serve as a resource for measurement-based quantum computation. Ideally, the ability to perform quantum gates via measurements on such states would be insensitive to small variations in the Hamiltonian.…

Quantum Physics · Physics 2012-06-20 Dominic V. Else , Ilai Schwarz , Stephen D. Bartlett , Andrew C. Doherty

We show how to realize topologically protected crossings of three energy bands, integer-spin analogs of Weyl fermions, in three-dimensional optical lattices. Our proposal only involves ultracold atom techniques that have already been…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 I. C. Fulga , L. Fallani , M. Burrello

Progress in understanding symmetry-protected topological (SPT) phases has been greatly aided by our ability to construct lattice models realizing these states. In contrast, a systematic approach to constructing models that realize quantum…

Strongly Correlated Electrons · Physics 2023-02-03 Nathanan Tantivasadakarn , Ryan Thorngren , Ashvin Vishwanath , Ruben Verresen

Higher symmetries can emerge at low energies in a topologically ordered state with no symmetry, when some topological excitations have very high energy scales while other topological excitations have low energies. The low energy properties…

Strongly Correlated Electrons · Physics 2020-01-15 Lokman Tsui , Xiao-Gang Wen

Topological phases of matter is a natural place for encoding robust qubits for quantum computation. In this work we extend the newly introduced class of qubits based on valence-bond solid models with SPT (symmetry-protected topological)…

Quantum Physics · Physics 2019-11-06 Dong-Sheng Wang

We construct a two-dimensional bosonic symmetry-protected topological (SPT) paramagnet protected by an on-site $G=\mathbb{Z}_4^{\times 3}$ symmetry, starting from a three-component $\mathbb{Z}_4$ Potts paramagnet on a triangular lattice.…

Strongly Correlated Electrons · Physics 2025-12-23 Hrant Topchyan , Tigran Hakobyan , Mkhitar Mirumyan , Tigran A. Sedrakyan , Ara Sedrakyan

We study topological features of interacting spin- 1 2 particles in one-dimensional state-dependent optical lattices. Due to the co-translational symmetry, we introduce the center-of-mass Zak phase with the help of center-of-mass momentum.…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Ling Lin , Yongguan Ke , Chaohong Lee

An experiment demonstrating the quantum simulation of a spin-lattice Hamiltonian is proposed. Dipolar interactions between nuclear spins in a solid state lattice can be modulated by rapid radio-frequency pulses. In this way, the effective…

Quantum Physics · Physics 2007-05-23 Georgios Roumpos , Cyrus P. Master , Yoshihisa Yamamoto
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