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The interplay between matter particles and gauge fields in physical spaces with nontrivial geometries can lead to novel topological quantum matter. However, detailed microscopic mechanisms are often obscure, and unconventional spaces are…

Two dimensional materials subject to long-wavelength modulations have emerged as novel platforms to study topological and correlated quantum phases. In this article, we develop a versatile and computationally inexpensive method to predict…

Mesoscale and Nanoscale Physics · Physics 2025-02-03 Valentin Crépel , Jennifer Cano

The interacting bosons in one-dimensional inversion-symmetric superlattices are investigated from the topological aspect. The complete phase diagram is obtained by an atomic-limit analysis and quantum Monte Carlo simulations and comprises…

Quantum Gases · Physics 2015-06-23 Tianhe Li , Huaiming Guo , Shu Chen , Shun-Qing Shen

As first demonstrated by the characterization of the quantum Hall effect by the Chern number, topology provides a guiding principle to realize robust properties of condensed matter systems immune to the existence of disorder. The…

Mesoscale and Nanoscale Physics · Physics 2023-08-01 Kazuki Sone , Motohiko Ezawa , Yuto Ashida , Nobuyuki Yoshioka , Takahiro Sagawa

Ultra-cold atoms in 1D bi-chromatic lattices constitute a surprisingly simple system for the study of topological insulators. We show that topological phase transitions constitute a general feature of bosons in 1D bi-chromatic lattices, and…

Quantum Gases · Physics 2014-04-01 Xiaolong Deng , Luis Santos

We have performed angle-resolved photoemission spectroscopy on (PbSe)5(Bi2Se3)3m, which forms a natural multilayer heterostructure consisting of a topological insulator (TI) and an ordinary insulator. For m = 2, we observed a gapped…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 K. Nakayama , K. Eto , Y. Tanaka , T. Sato , S. Souma , T. Takahashi , Kouji Segawa , Yoichi Ando

Topological photonics started out as a pursuit to engineer systems that mimic fermionic single-particle Hamiltonians with symmetry-protected modes, whose number can only change in spectral phase transitions such as band inversions. The…

Optics · Physics 2018-06-29 Simon Malzard , Henning Schomerus

Band topology of materials describes the extent Bloch wavefunctions are twisted in momentum space. Such descriptions rely on a set of topological invariants, generally referred to as topological charges, which form a characteristic class in…

Mesoscale and Nanoscale Physics · Physics 2023-08-01 Haoran Xue , Z. Y. Chen , Zheyu Cheng , J. X. Dai , Yang Long , Y. X. Zhao , Baile Zhang

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 develop a semi-analytical model to describe bound states in the continuum (BICs) in photonic crystal slabs. We model leaky modes supported by photonic crystal slabs as a transverse Fabry-Perot resonance composed of a few propagative…

We report on experiments investigating quantum transport and band interferometry of an atomic Bose-Einstein condensate in an optical lattice with a two-band miniband structure, realized with a Fourier-synthesized optical lattice potential.…

Quantum Gases · Physics 2010-11-23 Sebastian Kling , Tobias Salger , Christopher Grossert , Martin Weitz

Bogoliubov excitations of Bose-Einstein condensates in optical lattices may possess band topology in analogous to topological insulators in class AII of fermions. Using the language of the Krein-space theory, this topological property is…

Quantum Gases · Physics 2020-10-26 Junsen Wang , Wei Zheng , Youjin Deng

An extended Bose-Hubbard model (EBHM) with three- and four-body constraints can be feasible in cold atoms in an optical lattice. A rich phase structure including various symmetry-protected topological (SPT) phases is obtained numerically…

Quantum Gases · Physics 2021-10-04 Yoshihito Kuno , Yasuhiro Hatsugai

The centerpiece of topological photonics is the bulk-boundary correspondence principle (BBCP), which relates discrete invariants of the Bloch bands to the possible presence of interface modes between two periodic heterostructures. In…

Optics · Physics 2025-01-29 Igor Tsukerman

We evaluate the particle current flowing in steady state through a Bose-Einstein condensate subject to a constant force in a quasi-onedimensional lattice and to attractive interactions from fermionic atoms that are localized in various…

Statistical Mechanics · Physics 2009-11-10 P. Vignolo , Z. Akdeniz , M. P. Tosi

We predict the existence of non-Hermitian topologically protected end states in a one-dimensional exciton-polariton condensate lattice, where topological transitions are driven by the laser pump pattern. We show that the number of end…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Paolo Comaron , Vanik Shahnazaryan , Wojciech Brzezicki , Timo Hyart , Michał Matuszewski

Atomic bosons and fermions in an optical lattice can realize a variety of interesting condensed matter states that support equilibrium current patterns in the presence of synthetic magnetic fields or non-abelian gauge fields. As a route to…

Quantum Gases · Physics 2015-06-04 Matthew Killi , Arun Paramekanti

Results are presented for the occupation probabilities and current densities of bulk and edge states of half-filled graphene in a cylindrical geometry, and irradiated by a circularly polarized laser. It is assumed that the system is closed,…

Mesoscale and Nanoscale Physics · Physics 2016-06-01 Hossein Dehghani , Aditi Mitra

Quantum gases consisting of species with distinct quantum statistics, such as Bose-Fermi mixtures, can behave in a fundamentally different way than their unmixed constituents. This makes them an essential platform for studying emergent…

Band geometry plays a substantial role in topological lattice models. The Berry curvature, which resembles the effect of magnetic field in reciprocal space, usually fluctuates throughout the Brillouin zone. Motivated by the analogy with…

Strongly Correlated Electrons · Physics 2022-04-11 Daniel Varjas , Ahmed Abouelkomsan , Kang Yang , Emil J. Bergholtz
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