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Topic of the thesis is a theoretical description of the ultracold atomic gases in one- and two-dimensional optical lattices in the presence of the disorder leading to the Anderson localization. The disorder is created by interaction of the…

Quantum Gases · Physics 2017-07-19 Jan Major

We study whether a generic isolated quantum system initially set out of equilibrium can be considered as localized close to its initial state. Our approach considers the time evolution in the Krylov basis, which maps the dynamics onto that…

Quantum Physics · Physics 2024-03-22 Youssef Aziz Alaoui , Bruno Laburthe-Tolra

We study both experimentally and theoretically the losses induced by parametric excitation in far-off-resonance optical lattices. The atoms confined in a 1D sinusoidal lattice present an excitation spectrum and dynamics substantially…

Atomic Physics · Physics 2009-11-07 R. Jáuregui , N. Poli , G. Roati , G. Modugno

We study quenched disorder in strongly correlated systems via holography, focusing on the thermodynamic effects of mild electric disorder. Disorder is introduced through a random potential which is assumed to self-average on macroscopic…

High Energy Physics - Theory · Physics 2015-12-23 Allan Adams , Sho Yaida

Disordered systems provide paradigmatic instances of ergodicity breaking and localization phenomena. Here we explore the dynamics of excitations in a system of Rydberg atoms held in optical tweezers. The finite temperature produces an…

Recently, there have been significant new insights concerning conditions under which closed systems equilibrate locally. The question if subsystems thermalize---if the equilibrium state is independent of the initial state---is however much…

Quantum Physics · Physics 2012-10-02 M. Cramer

The role of a prominent photonic bandgap (PBG) on the phenomenon of transverse localization of light in a semi-infinite lossless waveguide lattice consisting of evanescently coupled disordered one-dimensional optical waveguides has been…

Optics · Physics 2013-12-04 Somnath Ghosh , B. P. Pal , R. K. Varshney , H. Ahmad

Integrated photonic systems provide a flexible platform where artificial lattices can be engineered in a reconfigurable fashion. Here, we show that one-dimensional photonic arrays with engineered losses allow the realization of topological…

Since the spatially extended periodic parity-time (PT) symmetric potential can possess certain unique properties compared to a single PT cell (with only a pair of coupled gain-loss components), various schemes have been proposed to realize…

When spatial constraint for the constituents (e.g., atom or particle) of system is once given, disordered structure for non-interacting system in equilibrium states is symmetric with respect to equiatomic composition. Meanwhile, when the…

Disordered Systems and Neural Networks · Physics 2018-03-12 Koretaka Yuge

It is believed that thermalization in closed systems of interacting particles can occur only when the eigenstates are fully delocalized and chaotic in the preferential (unperturbed) basis of the total Hamiltonian. Here we demonstrate that…

Quantum Physics · Physics 2018-01-17 Fausto Borgonovi , Felix M. Izrailev

Light localization by scattering is a fundamental mechanism driving phase transitions of wave transport in disordered systems. Characterizing the localization length in scattering systems is crucial yet challenging. In this Letter, we…

Parity-time ($\mathcal{PT}$) symmetry, originally conceived for non-Hermitian open quantum systems, has opened an excitingly new avenue for the coherent control of light. By tailoring optical gain and loss in integrated photonic structures,…

Optics · Physics 2019-04-11 Junpeng Hou , Zhitong Li , Qing Gu , Chuanwei Zhang

Photoluminescence (PL) is a fundamental light-matter interaction in which absorbed photons are re-emitted, playing a key role in science and engineering. It is commonly modeled by introducing a non-zero chemical potential into Planck's law…

Optics · Physics 2026-04-22 Tomer Bar Lev , Carmel Rotschild

Light is characterized by its electric field, yet quantum optics has revealed the importance of monitoring photon-photon correlations at all orders. We here present a comparative study of two experimental setups, composed of cold and warm…

The proposition that band geometry alone can protect optical states against disorder has proven not merely theoretically elegant but experimentally incontrovertible. A key attribute of photonic topological systems is their capacity to…

Rydberg tweezer arrays provide a platform for realizing spin-1/2 Hamiltonians with long-range tunneling that decays as a power law with distance. We numerically investigate the effects of positional disorder and dimerization on the…

Disordered Systems and Neural Networks · Physics 2026-02-26 Maksym Prodius , Adith Sai Aramthottil , Jakub Zakrzewski

We demonstrate the emergence of an entire flat band embedded in dispersive bands at the exceptional point of a PT symmetric photonic lattice. For this to occur, the gain and loss parameter effectively alters the size of the partial flat…

Optics · Physics 2017-07-12 Hamidreza Ramezani

Understanding the realization of thermal equilibrium through the thermalization process in a many-body system is a fundamental and complex scientific question, bridging thermodynamics and classical dynamics and connecting to a host of…

Statistical Mechanics · Physics 2026-04-07 Zhenwei Yao

We numerically investigate a lattice regularized version of quantum electrodynamics in one spatial dimension (Schwinger model). We work at a density where lattice commensuration effects are important, and preclude analytic solution of the…

Strongly Correlated Electrons · Physics 2018-09-12 A. A. Akhtar , Rahul M. Nandkishore , S. L. Sondhi