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Spatial symmetries can enrich the topological classification of interacting quantum matter and endow systems with non-trivial strong topological invariants (protected by internal symmetries) with additional "weak" topological indices. In…

Strongly Correlated Electrons · Physics 2023-05-31 Naren Manjunath , Abhinav Prem , Yuan-Ming Lu

The internal electric field of a Rydberg atom electron can bind a polar molecule to form a giant ultralong-range stable polyatomic molecule. Such molecules not only share their properties with Rydberg atoms, they possess huge permanent…

Atomic Physics · Physics 2015-05-27 Seth T. Rittenhouse , M. Mayle , P. Schmelcher , H. R. Sadeghpour

We present and analyze a simple model to illustrate the possibility of Rydberg state control by means of a moving guided electron. Specifically, we consider alkali metal atoms whose valence electron is initially prepared in a Rydberg…

Quantum Physics · Physics 2015-06-15 T. Laycock , B. Olmos , T. W. A. Montgomery , W. Li , T. M. Fromhold , I. Lesanovsky

We theoretically investigate trapped ions interacting with atoms that are coupled to Rydberg states. The strong polarizabilities of the Rydberg levels increases the interaction strength between atoms and ions by many orders of magnitude, as…

Quantum Physics · Physics 2016-07-27 Thomas Secker , Rene Gerritsma , Alexander W. Glaetzle , Antonio Negretti

By investigating the quantum properties of magnetically trapped nS Rydberg atoms, it is demonstrated that the composite nature of Rydberg atoms significantly alters their trapping properties opposed to point-like particles with the same…

Atomic Physics · Physics 2009-04-22 M. Mayle , I. Lesanovsky , P. Schmelcher

Arrays of Rydberg atoms interacting via dipole-dipole interactions offer a powerful platform for probing quantum many-body physics. However, these intrinsic interactions also determine and constrain the models -- and parameter regimes…

Quantum Gases · Physics 2025-12-16 Mingsheng Tian , Rhine Samajdar , Bryce Gadway

Topological insulators enable non-reciprocal light propagation that is insensitive to disorder and imperfections. Yet, despite considerable attention from the photonics community and beyond, the very feature that has inspired numerous…

Topological invariants have proved useful for analyzing emergent function as they characterize a property of the entire system, and are insensitive to local details, disorder, and noise. They support boundary states, which reduce the system…

Statistical Mechanics · Physics 2025-10-10 Jaime Agudo-Canalejo , Evelyn Tang

Optical lattices serve as fundamental building blocks for atomic quantum technology. However, the scale and resolution of these lattices are diffraction-limited to the light wavelength. In conventional lattices, achieving tight confinement…

Quantum Physics · Physics 2025-01-15 Mohammadsadegh Khazali

We introduce exactly solvable gapless quantum systems in $d$ dimensions that support symmetry protected topological (SPT) edge modes. Our construction leads to long-range entangled, critical points or phases that can be interpreted as…

Strongly Correlated Electrons · Physics 2017-12-08 Thomas Scaffidi , Daniel E. Parker , Romain Vasseur

Topological systems are inherently robust to disorder and continuous perturbations, resulting in dissipation-free edge transport of electrons in quantum solids, or reflectionless guiding of photons and phonons in classical wave systems…

We show that the bulk-boundary correspondence for topological insulators can be modified in the presence of non-Hermiticity. We consider a one-dimensional tight-binding model with gain and loss as well as long-range hopping. The system is…

Quantum Physics · Physics 2016-04-04 Tony E. Lee

Bound states of two interacting particles moving on a lattice can exhibit remarkable features that are not captured by the underlying single-particle picture. Inspired by this phenomenon, we introduce a novel framework by which genuine…

Mesoscale and Nanoscale Physics · Physics 2020-03-24 Grazia Salerno , Giandomenico Palumbo , Nathan Goldman , Marco Di Liberto

We study the magnon spectrum of stacked zig-zag chains of point magnetic dipoles with an easy axis. The anisotropy due to the dipolar interactions and the two-point basis of the zig-zag chain unit cell combine to give rise to topologically…

Materials Science · Physics 2022-09-07 Paula Mellado

We present a theoretical analysis of the implementation of an entangling quantum gate between two trapped Ca$^+$ ions which is based on the dipolar interaction among ionic Rydberg states. In trapped ions the Rydberg excitation dynamics is…

Quantum Physics · Physics 2014-08-06 Weibin Li , Igor Lesanovsky

We comprehensively investigate the nontrivial states of interacting Bose system in one-dimensional optical superlattices under the open boundary condition. Our results show that there exists a kind of stable localized states: edge gap…

Quantum Gases · Physics 2016-03-18 Z. Z. Wang , C. S. Liu , T. F. Xu , L. H. Wen , X. L. Jing , Y. Guo

Rydberg atoms with dipole-dipole interactions provide intriguing platforms to explore exotic quantum many-body physics. Here we propose a novel scheme with laser-assisted dipole-dipole interactions to realize synthetic magnetic field for…

Mesoscale and Nanoscale Physics · Physics 2022-08-09 Tian-Hua Yang , Bao-Zong Wang , Xin-Chi Zhou , Xiong-Jun Liu

Topological phases are often characterized by special edge states confined near the boundaries by an energy gap in the bulk. On raising temperature, these edge states are lost in a clean system due to mobile thermal excitations. Recently…

Disordered Systems and Neural Networks · Physics 2013-10-07 Yasaman Bahri , Ronen Vosk , Ehud Altman , Ashvin Vishwanath

The quantum anomalies at the edges correspond to the topological phases in the system, and the chiral edge states can reflect bulk bands' topological properties. In this paper, we demonstrate a simulation of Floquet system's chiral edge…

Quantum Gases · Physics 2020-08-11 Zhongcheng Yu , Jinyuan Tian , Fansu Wei , Xuzong Chen , Xiaoji Zhou

We show that one-dimensional quasi-periodic optical lattice systems can exhibit edge states and topological phases which are generally believed to appear in two-dimensional systems. When the Fermi energy lies in gaps, the Fermi system on…

Quantum Gases · Physics 2012-08-02 Li-Jun Lang , Xiaoming Cai , Shu Chen