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Topological insulators are noninteracting, gapped fermionic systems which have gapless boundary excitations. They are characterized by topological invariants, which can be written in many different ways, including in terms of Green's…

Mesoscale and Nanoscale Physics · Physics 2011-09-29 Andrew M. Essin , Victor Gurarie

We consider a spinless ultracold Fermi gas tightly trapped along the axis of an optical resonator and transversely illuminated by a laser closely tuned to a resonator mode. At a certain threshold pump intensity the homogeneous gas density…

Quantum Gases · Physics 2017-03-01 Farokh Mivehvar , Helmut Ritsch , Francesco Piazza

We investigate the self-organization of strongly interacting particles confined in 1D and 2D. We consider hardcore bosons in spinless Hubbard lattice models with short-range interactions. We show that many-body states with topological…

Strongly Correlated Electrons · Physics 2019-09-12 Ioannis Kleftogiannis , Ilias Amanatidis

We study the ground-state properties of ultracold bosons in an optical lattice in the regime of strong interactions. The system is described by a non-standard Bose-Hubbard model with both occupation-dependent tunneling and on-site…

Quantum Gases · Physics 2011-04-13 Omjyoti Dutta , Andre Eckardt , Philipp Hauke , Boris Malomed , Maciej Lewenstein

Ultracold atoms in optical lattices undergo a quantum phase transition from a superfluid to a Mott insulator as the lattice potential depth is increased. We describe an approximate theory of interacting bosons in optical lattices which…

Quantum Gases · Physics 2011-09-23 Dagim Tilahun , R. A. Duine , A. H. MacDonald

Topological phases of matters are of fundamental interest and have promising applications. Fascinating topological properties of light have been unveiled in classical optical materials. However, the manifestation of topological physics in…

Optics · Physics 2015-08-06 Da-Wei Wang , Han Cai , Luqi Yuan , Shi-Yao Zhu , Ren-Bao Liu

The order from quantum disorder (OFQD) phenomenon was first discovered in quantum spin systems in geometric frustrated lattice. Similar phenomenon was also discovered in interacting bosonic systems or quantum spin systems with spin-orbit…

Quantum Gases · Physics 2023-03-14 Fadi Sun , Jinwu Ye

Topological photonics provides a new degree of freedom to robustly control electromagnetic fields. To date, most of established topological states in photonics have been employed in Euclidean space. Motivated by unique properties of…

We treat elementary excitations, the spin-liquid state, and the anomalous Hall effect (including the quantum one in purely 2D situation) in layered highly correlated systems. The mechanisms of the formation of a topological state associated…

Strongly Correlated Electrons · Physics 2022-03-02 V. Yu. Irkhin , Yu. N. Skryabin

We predict that junctions between an antiferromagnetic insulator and a superconductor provide a robust platform to create a one-dimensional topological superconducting state. Its emergence does not require the presence of intrinsic…

Superconductivity · Physics 2021-03-10 Senna S. Luntama , Päivi Törmä , Jose L. Lado

We describe interacting mixtures of ultracold bosonic and fermionic atoms in harmonically confined optical lattices. For a suitable choice of parameters we study the emergence of superfluid and Fermi liquid (non-insulating) regions out of…

Other Condensed Matter · Physics 2013-05-29 Kaushik Mitra , C. J. Williams , C. A. R. Sá de Melo

We study the boundary nature of trapped bosonic Mott insulators in optical square lattices, by performing quantum Monte Carlo simulation. We show that a finite superfluid density generally emerges in the incommensurate-filling (IC) boundary…

Strongly Correlated Electrons · Physics 2015-05-26 Takafumi Suzuki , Masahiro Sato

The existence of boundary states and their protection against symmetry-preserving perturbations are a hallmark feature of topological systems. While this concept originally emerged in the context of sin-gle-particle phenomena in…

We propose the realization of topological quantum states with cold atoms trapped in an optical lattice. We discuss an experimental setup that generates a two-dimensional hexagonal lattice in the presence of a light-induced periodic vector…

Mesoscale and Nanoscale Physics · Physics 2009-07-21 Tudor D. Stanescu , Victor Galitski , J. Y. Vaishnav , Charles W. Clark , S. Das Sarma

We investigate the effects of attractive Hubbard interaction on two-component fermionic atoms in narrow two-dimensional (2D) energy bands that exhibit Rashba spin-orbit coupling (SOC) in the presence of an applied Zeeman field. This…

Quantum Gases · Physics 2024-08-30 T. D. Stanescu , Sumanta Tewari , V. W. Scarola

Topological superfluid is an exotic state of quantum matter that possesses a nodeless superfluid gap in the bulk and Andreev edge modes at the boundary of a finite system. Here, we study a multi-orbital superfluid driven by attractive…

Quantum Gases · Physics 2017-08-23 Ningning Hao , Huaiming Guo , Ping Zhang

We investigate topological supersolidity of dipolar Fermi gases in a spin-dependent 2D optical lattice. Numerical results show that the topological supersolid states can be synthesized via the combination of topological superfluid states…

Quantum Gases · Physics 2020-04-02 Huan-Yu Wang , Zhen Zheng , Lin Zhuang , Wu-Ming Liu

We study the topological properties of quantum states for the spinless particle hopping in a Mobius ladder. This system can be regarded as a molecular device possibly engineered from the aromatic Mobius annulenes, which enjoys a pseudo-spin…

Quantum Physics · Physics 2010-04-29 Nan Zhao , H. Dong , Shuo Yang , C. P. Sun

Experimental realizations of topological quantum systems and detections of topological invariants in ultracold atomic systems have been a greatly attractive topic. In this work, we propose a scheme to realize topologically different phases…

Quantum Gases · Physics 2017-07-19 Zhihao Xu , Yunbo Zhang , Shu Chen

We present analysis of a single channel interacting quantum wire problem in the presence of spin-orbit interaction. The spin-orbit coupling breaks the spin-rotational symmetry from SU(2) to U(1) and breaks inversion symmetry. The low-energy…

Mesoscale and Nanoscale Physics · Physics 2015-07-28 Nikolaos Kainaris , Sam T. Carr