BEGIN:VCALENDAR VERSION:2.0 PRODID:-//linuxsoftware.nz//NONSGML Joyous v1.4//EN BEGIN:VEVENT SUMMARY:Quantum Avalanches and Krylov-space integrals of motion in disorde red systems DTSTART:20250618T143000Z DTEND:20250618T160000Z DTSTAMP:20260725T144059Z UID:8f7a62b7-b167-41db-a786-e0152f39b85c SEQUENCE:3 CREATED:20250617T082318Z DESCRIPTION:Anderson localization is a phenomenon in which a single quantu m particle'\;s eigenstates are exponentially localized due to spatial disorder. This begs the question of whether a disordered interacting syste m can be similarly localized\, a phenomenon dubbed many-body localization (MBL). Thermalization in the thermodynamic is believed to be due to '\ ;'\;quantum avalanches'\;'\;\, in which rare Griffiths regions serve as thermalizing baths. These regions\, which are sure to exist in t he thermodynamic limit\, are rare by nature and thus to observe their effe ct one either needs to access very large system sizes or resort to biased sampling. In this talk we present evidence of avalanches in numerical stud ies using the latter\, and show these systems are unstable at disorder muc h larger than commonly believed (Physical Review B 108 (2)\, L020201). We will also briefly review the Krylov subspace expansion method as a probe o f quantum chaos and the existence of localized integrals of motion (LIOMs) in Krylov space. LAST-MODIFIED:20250618T102753Z LOCATION:Anfiteatro PA2 (Piso -1 do Pavilhão de Matemática) do IST URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/quantum-avalanches-and-kry lov-space-integrals-of-motion-in-disordered-systems/ X-ALT-DESC;FMTTYPE=text/html:

Anderson localizati on is a phenomenon in which a single quantum particle'\;s eigenstates are exponentially localized due to spatial disorder. This begs the questio n of whether a disordered interacting system can be similarly localized\, a phenomenon dubbed many-body localization (MBL).

Thermalization in the thermodynamic is believed to be due to '\;'\;quantum avala nches'\;'\;\, in which rare Griffiths regions serve as thermalizin g baths. These regions\, which are sure to exist in the thermodynamic limi t\, are rare by nature and thus to observe their effect one either needs t o access very large system sizes or resort to biased sampling.

I n this talk we present evidence of avalanches in numerical studies using t he latter\, and show these systems are unstable at disorder much larger th an commonly believed (Physical Review B 108 (2)\, L020201). We will also b riefly review the Krylov subspace expansion method as a probe of quantum c haos and the existence of localized integrals of motion (LIOMs) in Krylov space.

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