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Conventionally the mobility edge (ME) separating extended states from localized ones is a central concept in understanding Anderson localization transition. The critical state, being delocalized and non-ergodic, is a third type of…

Disordered Systems and Neural Networks · Physics 2022-11-17 Yucheng Wang

Topological phases of ultracold atoms recently have been intensively studied both in optical superlattices and Raman lattices. However, the topological features induced by the interplay between such two lattices remain largely unexplored.…

Quantum Gases · Physics 2024-04-18 Jia-Hui Zhang , Bei-Bei Wang , Feng Mei , Jie Ma , Liantuan Xiao , Suotang Jia

Cold atoms with laser-induced spin-orbit (SO) interactions provide promising platforms to explore novel quantum physics, in particular the exotic topological phases, beyond natural conditions of solids. The past several years have witnessed…

Quantum Gases · Physics 2018-09-06 Long Zhang , Xiong-Jun Liu

We propose a flexible Raman lattice system for alkaline-earth-like atoms to theoretically investigate localization behaviors in a quasi-periodic lattice with controllable non-Hermiticity. Our analysis demonstrates that critical phases and…

Quantum Gases · Physics 2026-02-11 Entong Zhao , Yu-Jun Liu , Ka Kwan Pak , Peng Ren , Mengbo Guo , Chengdong He , Gyu-Boong Jo

A relation between geometric phases and criticality of spin chains is established. As a result, we show how geometric phases can be exploited as a tool to detect regions of criticality without having to undergo a quantum phase transition.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Angelo C. M. Carollo , Jiannis K. Pachos

Conventionally a mobility edge (ME) marks a critical energy that separates two different transport zones where all states are extended and localized, respectively. Here we propose a novel quasiperiodic spin-orbit coupled lattice model with…

Disordered Systems and Neural Networks · Physics 2022-11-01 Yucheng Wang , Long Zhang , Wei Sun , Ting-Fung Jeffrey Poon , Xiong-Jun Liu

Synthetic fields applied to ultracold quantum gases can realize topological phases that transcend conventional Bose and Fermi-liquid paradigms. Raman laser beams in particular are under scrutiny as a route to create synthetic fields in…

Strongly Correlated Electrons · Physics 2018-08-09 Hoi-Yin Hui , Mengsu Chen , S. Tewari , V. W. Scarola

We use Raman-assisted tunneling in an optical superlattice to generate large tunable effective magnetic fields for ultracold atoms. When hopping in the lattice, the accumulated phase shift by an atom is equivalent to the Aharonov-Bohm phase…

Ultracold Fermi gases trapped in honeycomb optical lattices provide an intriguing scenario, where relativistic quantum electrodynamics can be tested. Here, we generalize this system to non-Abelian quantum electrodynamics, where massless…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 A. Bermudez , N. Goldman , A. Kubasiak , M. Lewenstein , M. A. Martin-Delgado

The confinement-deconfinement phase transition is explored by lattice numerical simulations in non-compact (2+1)-dimensional quantum electrodynamics with massive fermions at finite temperature. The existence of two phases, one with and the…

High Energy Physics - Lattice · Physics 2008-12-18 Roberto Fiore , Pietro Giudice , Alessandro Papa

Temperature estimation of interacting quantum many-body systems is both a challenging task and topic of interest in quantum metrology, given that critical behavior at phase transitions can boost the metrological sensitivity. Here we study…

Quantum Physics · Physics 2023-12-05 Mei Yu , H. Chau Nguyen , Stefan Nimmrichter

Deconfined criticality and gapless topological states have recently attracted growing attention, as both phenomena go beyond the traditional Landau paradigm. However, the deep connection between these two critical states, particularly in…

Strongly Correlated Electrons · Physics 2026-05-08 Sheng Yang , Fu Xu , Da-Chuan Lu , Yi-Zhuang You , Hai-Qing Lin , Xue-Jia Yu

The geometric phase can act as a signature for critical regions of interacting spin chains in the limit where the corresponding circuit in parameter space is shrunk to a point and the number of spins is extended to infinity; for finite…

Quantum Physics · Physics 2009-11-13 M. E. Reuter , M. J. Hartmann , M. B. Plenio

We use non-equilibrium dynamical mean-field theory to demonstrate the existence of a critical interaction in the real-time dynamics of the Hubbard model after an interaction quench. The critical point is characterized by fast thermalization…

Strongly Correlated Electrons · Physics 2009-09-02 Martin Eckstein , Marcus Kollar , Philipp Werner

Topological nodal rings as the simplest topological nodal lines recently have been extensively studied in optical lattices. However, the realization of complex nodal line structures like nodal chains in this system remains a crucial…

Quantum Gases · Physics 2021-03-23 Bei-Bei Wang , Jia-Hui Zhang , Chuanjia Shan , Feng Mei , Suotang Jia

Topological phase transitions challenge conventional paradigms in many-body physics by separating phases that are locally indistinguishable yet globally distinct. Using a quantum simulator of interacting erbium atoms in an optical lattice,…

We study a class of quantum phase transitions between featureless bosonic atomic insulators in $(2+1)$ dimensions, where each phase exhibits neither topological order nor protected edge modes. Despite their lack of topology, these…

Strongly Correlated Electrons · Physics 2026-04-24 Yunchao Zhang , T. Senthil

We analyze the possible existence of topological phases in two-legged spin ladders considering a staggered interaction in both chains. When the staggered interaction in one chain is shifted by one site with respect to the other chain, the…

Strongly Correlated Electrons · Physics 2020-02-18 Greta Ghelli , Giuseppe Magnifico , Cristian Degli Esposti Boschi , Elisa Ercolessi

Disorder and localization have dramatic influence on the topological properties of a quantum system. While strong disorder can close the band gap thus depriving topological materials of topological features, disorder may also induce…

Quantum Gases · Physics 2021-09-17 Teng Xiao , Dizhou Xie , Zhaoli Dong , Tao Chen , Wei Yi , Bo Yan

Topological states of matter, as quantum Hall systems or topological insulators, cannot be distinguished from ordinary matter by local measurements in the bulk of the material. Instead, global measurements are required, revealing…

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