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We study systems of fully polarized ultracold atomic gases obeying Fermi statistics. The atomic transition interacts dispersively with a mode of a standing-wave cavity, which is coherently pumped by a laser. In this setup, the intensity of…

Quantum Physics · Physics 2009-11-13 Jonas Larson , Giovanna Morigi , Maciej Lewenstein

Optical superlattices with sublattice symmetry subjected to a synthetic imaginary gauge field undergo a topological phase transition in the Bloch energy spectrum, characterized by the change of a spectral winding number. For a narrow gap,…

Optics · Physics 2021-09-06 Stefano Longhi

This paper provides a pedagogical introduction to recent developments in geometrical and topological band theory following the discovery of graphene and topological insulators. Amusingly, many of these developments have a connection to…

Mesoscale and Nanoscale Physics · Physics 2021-04-27 J. Cayssol , J. -N. Fuchs

We present comparatively simple two-dimensional and three-dimensional checkerboard-like optical lattices possessing nontrivial topological properties. By simple tuning of the parameters these lattices can have a topological insulating…

Quantum Gases · Physics 2015-03-11 Tomi Paananen , Thomas Dahm

The ideas of topology have found tremendous success in Hermitian physical systems, but even richer properties exist in the more general non-Hermitian framework. Here, we theoretically propose and experimentally demonstrate a new…

Quantum topological materials, exemplified by topological insulators, three-dimensional Dirac semimetals and Weyl semimetals, have attracted much attention recently because of their unique electronic structure and physical properties. Very…

Atoms in transversely pumped optical cavities "self-organize" by forming a density wave and emitting superradiantly into the cavity mode(s). For a single-mode cavity, the properties of this self-organization transition are well…

Quantum Gases · Physics 2017-12-27 Sarang Gopalakrishnan , Yulia E. Shchadilova , Eugene Demler

The interplay between topology, dissipation and nonlinearities can give rise to a wealth of new phenomena and pave the way for novel topological lasers, sensors and other quantum devices. Along these lines, we propose here an optomechanical…

Quantum Physics · Physics 2025-02-06 Wojciech Brzezicki , Timo Hyart , Francesco Massel

Lithium, a prototypical simple metal under ambient conditions, has a surprisingly rich phase diagram under pressure, taking up several structures with reduced symmetry, low coordination numbers, and even semiconducting character with…

Materials Science · Physics 2019-04-26 Stephanie A. Mack , Sinéad M. Griffin , Jeffrey B. Neaton

Topological Insulators (TIs) exhibit exciting optical properties, which opens up a new pathway to generate ultrashort pulses from fiber lasers. Layered TIs display distinct saturable absorption property due to excited state absorption, as…

Materials Science · Physics 2021-05-20 Shyamal Mondal , Rounak Ganguly , Krishnakanta Mondal

We study the superradiant phase transition of a mesoscopic Fermi gas comprising between a few tens and a few thousand $^6$Li atoms in a high-finesse cavity across a wide range of densities. We observe a non-monotonic variation of the…

We report on the epitaxial fabrication and electronic properties of a topological phase in strained \alpha-Sn on InSb. The topological surface state forms in the presence of an unusual band order not based on direct spin-orbit coupling, as…

We consider a strongly repulsive fermionic gas in a two-dimensional optical lattice confined by a harmonic trapping potential. To address the strongly repulsive regime, we consider the $t-J$ Hamiltonian. The presence of the harmonic…

Superconductivity · Physics 2012-05-16 Anne-Louise Gadsbolle , H. Francis Song , Karyn Le Hur

We design an interaction-driven topological insulator for fermionic cold atoms in an optical lattice, that is, we pose the question of whether we can realize in a continuous space a spontaneous symmetry breaking induced by the inter-atom…

Quantum Gases · Physics 2015-07-24 Sota Kitamura , Naoto Tsuji , Hideo Aoki

We propose a realization of a two-dimensional higher-order topological insulator with ultracold atoms loaded into orbital angular momentum (OAM) states of an optical lattice. The symmetries of the OAM states induce relative phases in the…

Quantum Gases · Physics 2019-11-11 G. Pelegrí , A. M. Marques , V. Ahufinger , J. Mompart , R. G. Dias

The superfluid properties of a two-state Fermi mixture in an optical lattice are profoundly modified when an imbalance in the population of the two states is present.We present analytical solutions for the free energy, and for the gap and…

Superconductivity · Physics 2007-08-30 J. Tempere , M. Wouters , J. T. Devreese

We study the coherence properties of a trapped two-component gas of fermionic atoms below the BCS critical temperature. We propose an optical method to investigate the Cooper-pair coherence across different regions of the superfluid.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Gh. -S. Paraoanu , M. Rodriguez , P. Torma

From a leading-order unbiased renormalization group analysis we here showcase the emergence of superconductivity (including the topological ones) from purely repulsive electron-electron interactions in two-dimensional doped Dirac…

Superconductivity · Physics 2025-06-26 Sk Asrap Murshed , Sanjib Kumar Das , Bitan Roy

In this study, a tight-binding model on square octagon lattice with nearest-neighbour and next-nearest-neighbour hoppings is considered. The system is topologically trivial although it exhibits quadratic band-touching points in its…

Mesoscale and Nanoscale Physics · Physics 2020-01-06 Arghya Sil , Asim Kumar Ghosh

We analyze the energy spectrum and eigenstates of cold atoms in a tilted brick-wall optical lattice. When the tilt is applied, the system exhibits a sequence of topological phase transitions reflected in an abrupt change of the eigenstates.…

Quantum Gases · Physics 2018-07-11 Andrey R. Kolovsky