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When a d-dimensional quantum system is subjected to a periodic drive, it may be treated as a (d+1)-dimensional system, where the extra dimension is a synthetic one. In this work, we take these ideas to the next level by showing that…

Strongly Correlated Electrons · Physics 2018-03-12 Yuval Baum , Gil Refael

Recent developments in the physics of ultracold gases provide wide possibilities for reducing the dimensionality of space for magnetically or optically trapped atoms. The goal of these lectures is to show that regimes of quantum degeneracy…

Statistical Mechanics · Physics 2007-05-23 D. S. Petrov D. M. Gangardt G. V. Shlyapnikov

Topological matter is a popular topic in both condensed matter and cold atom research. In the past decades, a variety of models have been identified with fascinating topological features. Some, but not all, of the models can be found in…

Quantum Gases · Physics 2017-01-20 Zhen Zheng , Han Pu , Xubo Zou , Guangcan Guo

Topologically-ordered matter is a novel quantum state of matter observed only in a small number of physical systems, notably two-dimensional electron systems exhibiting fractional quantum Hall effects. It was recently proposed that a simple…

Quantum Gases · Physics 2010-07-19 Nathan Gemelke , Edina Sarajlic , Steven Chu

Ultracold atoms confined by engineered magnetic or optical potentials are ideal systems for studying phenomena otherwise difficult to realize or probe in the solid state because their atomic interaction strength, number of species, density,…

Quantum Gases · Physics 2016-01-20 Chih-Chun Chien , Sebastiano Peotta , Massimiliano Di Ventra

Low-dimensional electron systems fabricated from quantum matter have in recent years become available and are being explored with great intensity. This article gives an overview of the fundamental properties of such systems and summarizes…

Strongly Correlated Electrons · Physics 2016-07-26 Jochen Mannhart , Hans Boschker , Thilo Kopp , Roser Valentí

One-dimensional superlattices with periodic spatial modulations of onsite potentials or tunneling coefficients can exhibit a variety of properties associated with topology or symmetry. Recent developments of ring-shaped optical lattices…

Quantum Gases · Physics 2018-02-21 Yan He , Kevin Wright , Said Kouachi , Chih-Chun Chien

The method of synthetic gauge potentials opens up a new avenue for our understanding and discovering novel quantum states of matter. We investigate the topological quantum phase transition of Fermi gases trapped in a honeycomb lattice in…

Quantum Gases · Physics 2015-03-19 Fadi Sun , Xiao-Lu Yu , Jinwu Ye , Heng Fan , Wu-Ming Liu

For a long time, we thought that only symmetry breaking can give rise to different phases of matter. If there was no symmetry breaking, there would be no pattern and it would be featureless. But now we realize that, for quantum matter at…

Strongly Correlated Electrons · Physics 2019-06-17 Xiao-Gang Wen

We propose quantum-mechanical systems in which the number of spatial dimensions is promoted to a dynamical quantum variable, making the effective dimension state-dependent. Interestingly, systems of this form can exhibit enhanced symmetries…

Quantum Physics · Physics 2026-01-16 Mikołaj Myszkowski , Mattia Damia Paciarini , Francesco Sannino

Advances in nanotechnology now allow the creation of artificial atoms - engineered structures whose electronic states closely mimic those of real atoms. Understanding how these artificial atoms interact and bond is key to designing new…

Mesoscale and Nanoscale Physics · Physics 2026-04-17 Mong-Wen Gu , Aizhan Sabitova , Taner Esat , Christian Wagner , F. Stefan Tautz , Aleksandr Rodin , Ruslan Temirov

Tomograms are obtained as probability distributions and are used to reconstruct a quantum state from experimentally measured values. We study the evolution of tomograms for different quantum systems, both finite and infinite dimensional. In…

Quantum Physics · Physics 2022-06-10 Kishore Thapliyal , Subhashish Banerjee , Anirban Pathak

We illustrate how geometric gauge forces and topological phase effects emerge in quantum systems without employing assumptions that rely on adiabaticity. We show how geometric magnetism may be harnessed to engineer novel quantum devices…

Quantum Physics · Physics 2015-10-28 Bernard Zygelman

Exploring the properties and applications of topological quantum states is essential to better understand topological matter. Here, we theoretically study a quasi-one-dimensional topological atom array. In the low-energy regime, the atom…

Quantum Physics · Physics 2020-01-29 Wei Nie , Z. H. Peng , Franco Nori , Yu-xi Liu

Although the study of ultracold quantum gases trapped by light is a prominent direction of modern research, the quantum properties of light were widely neglected in this field. Quantum optics with quantum gases closes this gap and addresses…

Quantum Gases · Physics 2012-05-09 Igor B. Mekhov , Helmut Ritsch

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

Cold atomic gases have become a paradigmatic system for exploring fundamental physics, which at the same time allows for applications in quantum technologies. The accelerating developments in the field have led to a highly advanced set of…

The field of ultracold quantum matter has burgeoned over the last few decades, thanks to the growing capabilities for atomic systems to be probed and manipulated with exquisite control. Researchers can now precisely create and study quantum…

Quantum Gases · Physics 2017-02-01 Steven A. Moses , Jacob P. Covey , Matthew T. Miecnikowski , Deborah S. Jin , Jun Ye

Topological semimetals and metals have emerged as a new frontier in the field of quantum materials. Novel macroscopic quantum phenomena they exhibit are not only of fundamental interest, but may hold some potential for technological…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 A. A. Burkov

Giant atoms that interact with real-space waveguides at multiple spatial points have attracted extensive attention due to their unique interference effects. Here we propose a feasible scheme for constructing giant atoms in a synthetic…

Quantum Physics · Physics 2022-06-06 Lei Du , Yan Zhang , Jin-Hui Wu , A. F. Kockum , Yong Li