[PDF] Top 20 Many-Body Localization in Periodically Driven Systems

... disordered many-body systems with periodic time-dependent Hamiltonians in one spatial ...a many-body localized (MBL) phase, in which almost all eigenstates have area-law ... Voir le document complet

... lattice systems are not covered here, but this could easily be ...’localization in energy’ has barely been rigorously studied in the absence of interaction, ...case. In [12], ... Voir le document complet

... observed in a nearly integrable one-dimensional Bose gas 10 . In this paper, we establish some general properties of dynamics of periodically driven many-body systems ... Voir le document complet

... larger systems and beyond one ...the localization length of the LIOMs and the Hamiltonian interactions from their respective exponential ...that in the MBL phase, the LIOMs and physical spin ... Voir le document complet

... (3) In the field of quantum chaos, the Poisson statistics appears for systems whose classical dynamics is integrable [5], whereas the Wigner-Dyson statistics appears when the classical dynamics is chaotic ... Voir le document complet

... and many-body Hamiltonians can be reformulated as flows of Hamiltonians towards diagonalization driven by unitary transformations that preserve the ...introduced in the past, we focus on the ... Voir le document complet

... introduction in fluid dynamics in order to characterize the statistical properties of turbulence (see the book [61] and references therein), the notion of multifractality has turned out to be relevant ... Voir le document complet

... features: In dimensions d > 2, the assisted hopping term induces a delocaliza- tion of close pairs which will move together diffusively as a composite light particle and overcome Anderson local- ...the ... Voir le document complet

... used in many areas of physics to distinguish different phases of ...interesting in the field of disordered systems whenever the local order is not so easy to define and varies from sample to ... Voir le document complet

... the localization of minima and saddles of the potential energy landscape, us- ing eigenvector following, and then on graph transformation [ 41 ] to compute the overall transition rate between two regions of phase ... Voir le document complet

... study periodically driven strongly correlated electrons, we have considered the Fermi- Hubbard model with time-periodic ...quantum many-body systems; (ii) Floquet prethermal- ization at ... Voir le document complet

... are in eV. auxiliary bases in the framework of many-body pertur- bation theory still needs careful testing for chemical species all across the periodic ...done in some details in ... Voir le document complet

... quantum many-body systems, leading to a complete breakdown of diffusion and to the localized insulating be- havior of a non-interacting quantum particle in a random external potential ... Voir le document complet

... transition In this Chapter, we will study the effect of an ohmic environment on the topology of a spin ...matter systems, we will study the deformation of the Berry curvature induced by the presence of the ... Voir le document complet

... effects in real space. Inclusions of the localised phase in real space lead to kinetic bottlenecks in Fock space and, consequently, to a very heterogenous many-body delocal- isation ... Voir le document complet

... advances in controlling and probing quantum systems, motivated by the wish to understand fundamental questions, but also with the goal of realizing technologies taking advances of quantum mechanical ... Voir le document complet

... studied in this paper together with our results are presented in Section ...contained in Section 3, while some more technical intermediate results are shown in Sections 4 to ...shown in ... Voir le document complet

... including systems that were shown to be pathological for the direct analytic continuation of the ...accuracy in the calculation of the quasiparticle energy of states lying close to the gap, in ... Voir le document complet

... Argüelles in my office and the long conversations about Density Matrix Renormalization Group and Matrix Product ...visit in Berlin to learn about complex scal- ... Voir le document complet

... Time-varying systems, Periodic motion, Resonance, Subspace methods, Statistical inference, Fault detection, Stability limits ...control systems, for numer- ous applications such as civil engineering and ... Voir le document complet