BEGIN:VCALENDAR VERSION:2.0 PRODID:-//linuxsoftware.nz//NONSGML Joyous v1.4//EN BEGIN:VEVENT SUMMARY:Quantum phases of quasiperiodic matter DTSTART:20230524T143000Z DTEND:20230524T160000Z DTSTAMP:20260806T055838Z UID:7c8a1fc9-2504-4038-8f2f-f0fddd472d52 SEQUENCE:2 CREATED:20230522T104541Z DESCRIPTION:Quasiperiodic systems offer a myriad of fascinating phenomena\ , from localization transitions in one or higher dimensions\, to intriguin g topological properties. There has been a continued interest in these sys tems due to their experimental accessibility across diverse platforms\, in cluding ultracold atoms and trapped ions\, photonic and phononic media and \, more recently\, moiré materials. In this seminar\, we will delve into our recent research on the quantum phases of both non-interacting and inte racting quasiperiodic systems. We will start by introducing a theoretical framework that we have developed to characterize the localization phase di agrams of non-interacting 1D quasiperiodic systems\, that includes extende d\, localized\, and even critical multifractal phases. This theory\, based on a renormalization-group procedure\, allowed us to connect widely diffe rent models in the literature and in some cases\, fully analytically chara cterize the phase diagrams. We will then generalize our theory to interact ing quasiperiodic systems. By applying this generalization to a broad clas s of 1D quasiperiodic chains\, we will unveil a compelling finding: short- range interactions become irrelevant in the vicinity of ground-state local ization-delocalization transitions. Finally\, we will explore the role of quasiperiodicity in moiré systems. Through illustrative examples\, we wil l demonstrate that quasiperiodicity can be of crucial importance\, being r esponsible for creating non-trivial states of matter\, inaccessible in the periodic case. LAST-MODIFIED:20230522T105044Z LOCATION:Sala de Seminários do DF\, Pavilhão de Física\, 2º piso URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/quantum-phases-of-quasiper iodic-matter/ X-ALT-DESC;FMTTYPE=text/html:

Quasiperiodic syste ms offer a myriad of fascinating phenomena\, from localization transitions in one or higher dimensions\, to intriguing topological properties. There has been a continued interest in these systems due to their experimental accessibility across diverse platforms\, including ultracold atoms and tra pped ions\, photonic and phononic media and\, more recently\, moiré mater ials. In this seminar\, we will delve into our recent research on the quan tum phases of both non-interacting and interacting quasiperiodic systems.< br/>
We will start by introducing a theoretical framework that we hav e developed to characterize the localization phase diagrams of non-interac ting 1D quasiperiodic systems\, that includes extended\, localized\, and e ven critical multifractal phases. This theory\, based on a renormalization -group procedure\, allowed us to connect widely different models in the li terature and in some cases\, fully analytically characterize the phase dia grams. We will then generalize our theory to interacting quasiperiodic sys tems.

By applying this generalization to a broad class of 1D qua siperiodic chains\, we will unveil a compelling finding: short-range inter actions become irrelevant in the vicinity of ground-state localization-del ocalization transitions. Finally\, we will explore the role of quasiperiod icity in moiré systems. Through illustrative examples\, we will demonstra te that quasiperiodicity can be of crucial importance\, being responsible for creating non-trivial states of matter\, inaccessible in the periodic c ase.

END:VEVENT END:VCALENDAR