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We propose a novel realization of Anderson localization in non-equilibrium states of ultracold atoms trapped in state-dependent optical lattices. The disorder potential leading to localization is generated with a Rabi pulse transfering a…

Quantum Gases · Physics 2010-11-29 Birger Horstmann , Stephan Dürr , Tommaso Roscilde

We explore the critical properties of the localization transition in the non-Hermitian Aubry-Andre-Stark (AAS) model with quasiperiodic and Stark potentials, where the non-Hermiticity comes from the nonreciprocal hopping. The localization…

Quantum Physics · Physics 2025-05-29 Ji-Long Dong , En-Wen Liang , Shi-Yang Liu , Guo-Qing Zhang , Ling-Zhi Tang , Dan-Wei Zhang

In N=2 supersymmetric QCD with the U(N) gauge group and N_f>N we study the crossover transition from the weak coupling regime at large \xi to strong coupling at small \xi where \xi is the Fayet--Iliopoulos parameter. We find that at strong…

High Energy Physics - Theory · Physics 2010-05-27 M. Shifman , A. Yung

Can high energy physics be simulated by low-energy, non-relativistic, many-body systems, such as ultracold atoms? Such ultracold atomic systems lack the type of symmetries and dynamical properties of high energy physics models: in…

Quantum Physics · Physics 2015-12-29 Erez Zohar , J. Ignacio Cirac , Benni Reznik

We investigate the possibility of hidden non-Abelian Local Phase symmetries in large-U doped planar Hubbard antiferromagnets, believed to simulate the physics of two-dimensional (magnetic) superconductors. We present a spin-charge…

Condensed Matter · Physics 2008-11-26 K. Farakos , N. E. Mavromatos

The methods for realizing of non-Abelian gauge potentials have been proposed in many different systems in condensed matter1-5. The simplest realization among them may be in a graphene bilayer obtained by slightly relative rotation between…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 Long-Jing Yin , Jia-Bin Qiao , Wei-Jie Zuo , Wen-Tian Li , Lin He

Performing highly precise Monte-Carlo simulations of SU(2) gluodynamics, we observe for the first time Abelian dominance in the confining part of the static potential in local unitary gauges such as the F12 gauge. We also study the…

High Energy Physics - Lattice · Physics 2008-11-26 Toru Sekido , Katsuya Ishiguro , Yoshiaki Koma , Yoshihiro Mori , Tsuneo Suzuki

We consider a ladder system where one leg, referred to as the ``bath", is governed by an Aubry-Andr\'{e} (AA) type Hamiltonian, while the other leg, termed the ``subsystem", follows a standard tight-binding Hamiltonian. We investigate the…

Statistical Mechanics · Physics 2025-11-04 Arpita Goswami , Pallabi Chatterjee , Ranjan Modak , Shaon Sahoo

Conduction through materials crucially depends on how ordered they are. Periodically ordered systems exhibit extended Bloch waves that generate metallic bands, whereas disorder is known to limit conduction and localize the motion of…

Disordered Systems and Neural Networks · Physics 2020-08-26 V. Goblot , A. Štrkalj , N. Pernet , J. L. Lado , C. Dorow , A. Lemaître , L. Le Gratiet , A. Harouri , I. Sagnes , S. Ravets , A. Amo , J. Bloch , O. Zilberberg

By gauging a higher-moment polynomial degree global symmetry and a discrete charge conjugation (i.e., particle-hole) symmetry coupled to matter fields (two symmetries mutually non-commutative), we derive a new class of higher-rank tensor…

Strongly Correlated Electrons · Physics 2020-11-13 Juven Wang , Shing-Tung Yau

Multicomponent quantum Hall systems with internal degrees of freedom provide a fertile ground for the emergence of exotic quantum liquids. Here we investigate the possibility of non-Abelian topological order in the half-filled fractional…

Strongly Correlated Electrons · Physics 2017-01-04 W. Zhu , Zhao Liu , F. D. M. Haldane , D. N. Sheng

Protection of gauge invariance in experimental realizations of lattice gauge theories based on energy-penalty schemes has recently stimulated impressive efforts both theoretically and in setups of quantum synthetic matter. A major challenge…

Quantum Gases · Physics 2022-12-07 Jad C. Halimeh , Haifeng Lang , Philipp Hauke

We study non-Hermitian Aubry-Andr\'{e}-Harper models with p-wave pairing, where the non-Hermiticity is introduced by on-site complex quasiperiodic potentials. By analysing the $\mathcal{PT}$ symmetry breaking, winding numbers of energy…

Disordered Systems and Neural Networks · Physics 2021-06-30 Xiaoming Cai

A recent experiment by P. Bordia et al. (Periodically Driving a Many Body Localized Quantum System, Nat Phys, Jan 2017) has demonstrated that periodically modulating the potential of a localised many-body quantum system described by the…

Quantum Physics · Physics 2018-07-31 Donato Romito , Carlos Lobo , Alessio Recati

We show that the zero-temperature physics of planar Josephson junction arrays in the self-dual approximation is governed by an Abelian gauge theory with periodic mixed Chern-Simons term describing the charge-vortex coupling. The periodicity…

High Energy Physics - Theory · Physics 2009-10-28 M. C. Diamantini , P. Sodano , C. A. Trugenberger

We investigate the localisation properties of quasiperiodic tight-binding chains with hopping terms modulated by the interpolating Aubry-Andr\'e-Fibonacci (IAAF) function. This off-diagonal IAAF model allows for a smooth and controllable…

Disordered Systems and Neural Networks · Physics 2024-06-21 Hugo Tabanelli , Claudio Castelnovo , Antonio Štrkalj

Non-Abelian statistics is a phenomenon of topologically protected non-Abelian Berry phases as we exchange quasiparticle excitations. In this paper, we construct a Z_N rotor model that realizes a self-dual Z_N Abelian gauge theory. We find…

Strongly Correlated Electrons · Physics 2012-10-19 Yi-Zhuang You , Xiao-Gang Wen

In this paper, the interplay of the non-Herimiticity and the cascade of delocalization transition in the quasi-periodic chain is studied. The study is applied in a non-Hermitian interpolating Aubry-Andr{\'e}-Fibonacci (IAAF) model, which…

Disordered Systems and Neural Networks · Physics 2021-07-07 Liang-Jun Zhai , Guang-Yao Huang , Shuai Yin

Using synthetic lattices of laser-coupled atomic momentum modes, we experimentally realize a recently proposed family of nearest-neighbor tight-binding models having quasiperiodic site energy modulation that host an exact mobility edge…

Wave dynamics in disordered open media is an intriguing topic, and has lately attracted a lot of attention in non-Hermitian physics, especially in photonics. In fact, spatial distributions of gain and loss elements are physically possible…

Statistical Mechanics · Physics 2024-10-15 Ananya Ghatak , Dimitrios H. Kaltsas , Manas Kulkarni , Konstantinos G. Makris