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Synthetic dimensions, wherein dynamics occurs in a set of internal states, have found great success in recent years in exploring topological effects in cold atoms and photonics. However, the phenomena thus far explored have largely been…

Quantum Gases · Physics 2023-06-02 Tao Chen , Chenxi Huang , Ivan Velkovsky , Kaden R. A. Hazzard , Jacob P. Covey , Bryce Gadway

The progress achieved in micro-fabricating potential for cold atoms has defined a new field in quantum technology - Atomtronics - where a variety of 'atom circuits' of very different spatial shapes and depth have been devised for atom…

Quantum Physics · Physics 2015-11-24 Luigi Amico , Malcolm G. Boshier

Ultracold dipolar atoms and molecules provide a flexible quantum simulation platform for studying strongly interacting many-body systems. Determining microscopic Hamiltonian parameters of the simulator is crucial for it to be useful. We…

We derive the universal real time $U(1)$ topological gauge field action for mixed quantum states of weakly correlated fermions in all dimensions, and demonstrate its independence of the underlying equilibrium or non-equilibrium nature of…

Statistical Mechanics · Physics 2022-12-28 Ze-Min Huang , Xiao-Qi Sun , Sebastian Diehl

Confining ultracold gases in cavities creates a paradigm of quantum trapping potentials. We show that this allows to bridge models with global collective and short-range interactions as novel quantum phases possess properties of both. Some…

Quantum Gases · Physics 2015-12-14 Santiago F. Caballero-Benitez , Igor B. Mekhov

Advances in light shaping for optical trapping of neutral particles have led to the development of box traps for ultracold atoms and molecules. These traps have allowed the creation of homogeneous quantum gases and opened new possibilities…

Quantum Gases · Physics 2022-02-17 Nir Navon , Robert P. Smith , Zoran Hadzibabic

The discovery of topological phases in condensed matter systems has changed the modern conception of phases of matter. The global nature of topological ordering makes these phases robust and hence promising for applications. However, the…

The discovery of novel topological states has served as a major branch in physics and material science. However, to date, most of the established topological states of matter have been employed in Euclidean systems, where the interplay…

Mesoscale and Nanoscale Physics · Physics 2022-07-06 Weixuan Zhang , Hao Yuan , Na Sun , Houjun Sun , Xiangdong Zhang

We propose an experimentally feasible scheme for topological interface engineering and show how it can be used for studies of dynamics of topologically nontrivial interfaces and perforation of defects and textures across such interfaces.…

Quantum Gases · Physics 2012-07-04 Magnus O. Borgh , Janne Ruostekoski

We show that pairing in an ultracold Fermi gas under spin-orbital-angular-momentum coupling (SOAMC) can acquire topological characters encoded in the quantized angular degrees of freedom. The resulting topological superfluid is the angular…

Quantum Gases · Physics 2022-07-13 Ke-Ji Chen , Fan Wu , Lianyi He , Wei Yi

We discuss physical constructions, and the boundary properties of various symmetry protected topological phases that involve 1-form symmetries, from one spatial dimension (1d) to four spatial dimensions (4d). For example, the prototype 3d…

Strongly Correlated Electrons · Physics 2021-02-24 Chao-Ming Jian , Xiao-Chuan Wu , Yichen Xu , Cenke Xu

Ultracold atomic physics experiments offer a nearly ideal context for the investigation of quantum systems far from equilibrium. We describe three related emerging directions of research into extreme non-equilibrium phenomena in atom traps:…

In topological quantum computing, information is encoded in "knotted" quantum states of topological phases of matter, thus being locked into topology to prevent decay. Topological precision has been confirmed in quantum Hall liquids by…

Quantum Algebra · Mathematics 2017-12-06 Eric C. Rowell , Zhenghan Wang

Synthetic gauge fields have recently emerged, arising in the context of quantum simulations, topological matter, and the protected transportation of excitations against defects. For example, an ultracold atom experiences a light-induced…

Artificial quantum systems with synthetic dimensions enable exploring novel quantum phenomena difficult to create in conventional materials. These synthetic degrees of freedom increase the system's dimensionality without altering its…

Quantum Physics · Physics 2025-08-11 Alexey Gorlach , Andrea Pizzi , Klaus Mølmer , Joseph Avron , Mordechai Segev , Ido Kaminer

The composite particle duality extends the notions of both flux attachment and statistical transmutation in spacetime dimensions beyond 2+1D. It constitutes an exact correspondence that can be understood either as a theoretical framework or…

Strongly Correlated Electrons · Physics 2024-10-29 Gerard Valentí-Rojas , Joel Priestley , Patrik Öhberg

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

Certain geometric properties of submanifolds of configuration space are numerically investigated for classical lattice phi^4 models in one and two dimensions. Peculiar behaviors of the computed geometric quantities are found only in the…

Statistical Mechanics · Physics 2009-10-31 Roberto Franzosi , Lapo Casetti , Lionel Spinelli , Marco Pettini

We propose the creation of a two-dimensional topological semimetal in a semiconductor artificial lattice with triangular symmetry. An in-plane magnetic field drives a quantum phase transition between the topological insulating and…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Tommy Li , Oleg P. Sushkov

We review recent progress in the explorations of topological quantum states of matter in iron-based superconductors. In particular, we focus on the nontrivial topology existing in the band structures and superconducting states of iron's 3d…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Ning Hao , Jiangping Hu