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We describe recent progress in our understanding of the interplay between interactions, symmetry, and topology in states of quantum matter. We focus on a minimal generalization of the celebrated topological band insulators to interacting…

Strongly Correlated Electrons · Physics 2015-08-05 T. Senthil

We show that sharply defined topological quantum phase transitions are not limited to states of matter with gapped electronic spectra. Such transitions may also occur between two gapless metallic states both with extended Fermi surfaces.…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Xuzhe Ying , Alex Kamenev

Quantum computers promise to perform computations beyond the reach of modern computers with profound implications for scientific research. Due to remarkable technological advances, small scale devices are now becoming available for use. One…

Strongly Correlated Electrons · Physics 2022-05-20 Adam Smith , Bernhard Jobst , Andrew G. Green , Frank Pollmann

We propose a robust scheme of studying the strong interactions between free electrons and photons using topological photonics. Our study reveals that the topological corner state can be used to enhance the interaction between light and a…

Optics · Physics 2024-02-20 Jing Li , Yiqi Fang , Yunquan Liu

Ultracold atom arrays in optical lattices emerge as an excellent playground for the integration of topological photonics and quantum optics. Here, we study high-order topological quantum optics in an ultracold atom metasurface intended to…

Optics · Physics 2021-08-04 B. X. Wang , C. Y. Zhao

Discrete-time quantum walks allow Floquet topological insulator materials to be explored using controllable systems such as ultracold atoms in optical lattices. By numerical simulations, we study the robustness of topologically protected…

Quantum Physics · Physics 2016-08-02 Thorsten Groh , Stefan Brakhane , Wolfgang Alt , Dieter Meschede , Janos Asbóth , Andrea Alberti

We propose a scheme to manipulate a topological spin qubit which is realized with cold atoms in a one-dimensional optical lattice. In particular, by introducing a quantum opto-electro-mechanical interface, we are able to first transfer a…

Quantum Physics · Physics 2016-04-12 Zheng-Yuan Xue , Zhang-qi Yin , Yan Chen , Z. D. Wang , Shi-Liang Zhu

Photonic state engineering in waveguide QED is typically based on local light-matter interactions. This limits its control over the spatial structure of bound photonic states. Here, we demonstrate a distinct mechanism arising from the…

Quantum Physics · Physics 2026-04-17 Mingzhu Weng , Gang Wang , Zhihai Wang

Coherent states, being the closest analog to classical states of wave systems, are well known to possess special properties that set them apart from most other quantum optical states. For example, they are robust against photon loss and do…

Quantum Physics · Physics 2024-09-20 Saumya Biswas , Amrit De , Avik Dutt

All physical implementations of quantum bits (qubits), carrying the information and computation in a putative quantum computer, have to meet the conflicting requirements of environmental decoupling while remaining manipulable through…

Condensed Matter · Physics 2007-05-23 L. B. Ioffe , M. V. Feigel'man , A. Ioselevich , D. Ivanov , M. Troyer , G. Blatter

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…

Topological quantum optical states in one-dimensional (1D) quasiperiodic cold atomic chains are studied in this work. We propose that by introducing incommensurate modulations on the interatomic distances of 1D periodic atomic chains, the…

Optics · Physics 2021-02-03 B. X. Wang , C. Y. Zhao

Topology is an important degree of freedom in characterizing electronic systems. Recently, it also brings new theoretical frontiers and many potential applications in photonics. However, the verification of the topological nature is highly…

Quantum Physics · Physics 2016-06-23 Yan-Pu Wang , Wan-Li Yang , Zheng-Yuan Xue , Yong Hu , Ying Wu

We map the topological properties of a one dimensional superlattice to the optical properties of an electronic system. We find that the nonlinear-optical response is optimized for electrons that live in the transitional morphology between…

Optics · Physics 2020-08-26 Ethan L. Crowell , Mark G. Kuzyk

Quantum technologies, holding the promise of exponentially superior performance than their classical counterparts for certain tasks, have consistently encountered challenges, including instability in quantum light sources, quantum…

Quantum Physics · Physics 2024-03-28 Jun Li , Can-ming Hu , Yaping Yang

Symmetry-protected topological phases cannot be described by any local order parameter and are beyond the conventional symmetry-breaking paradigm for understanding quantum matter. They are characterized by topological boundary states robust…

In topological quantum computation, quantum information is stored in states which are intrinsically protected from decoherence, and quantum gates are carried out by dragging particle-like excitations (quasiparticles) around one another in…

Quantum Physics · Physics 2009-11-11 N. E. Bonesteel , Layla Hormozi , Georgios Zikos , Steven H. Simon

Topology plays a central role in ensuring the robustness of a wide variety of physical phenomena. Notable examples range from the robust current carrying edge states associated with the quantum Hall and the quantum spin Hall effects to…

The physical reasons in favour of a two dimensional topological model of quantum electrodynamics are discussed. It is shown that in accord with this model there is a new uncertainty relation for photon which is compatible with QED.

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. Ghaboussi

The realization of robust coherent energy transfer with a long range from a donor to an acceptor has many important applications in the field of quantum optics. However, it is hard to be realized using conventional schemes. Here, we…

Optics · Physics 2020-10-27 Yujing Wang , Jun Ren , Weixuan Zhang , Lu He , Xiangdong Zhang