Full eigenstate thermalization via free cumulants in quantum lattice systems

Pappalardi, Silvia (avtor), Fritzsch, Felix (avtor), Prosen, Tomaž (avtor)

The eigenstate thermalization hypothesis (ETH) has been established as the general framework to understand quantum statistical mechanics. Only recently has the attention been paid to so-called full ETH, which accounts for higher-order correlations among matrix elements, and that can be rationalized theoretically using the language of free probability. In this work, we perform the first numerical investigation of the full ETH in physical many-body systems with local interactions by testing the decomposition of higher-order correlators into thermal free cumulants for local operators. We perform exact diagonalization on two classes of local nonintegrable (chaotic) quantum many-body systems: spin chain Hamiltonians and Floquet brickwork unitary circuits. We show that the dynamics of four-time correlation functions are encoded in fourth-order free cumulants, as predicted by ETH. Their dependence on frequency encodes the physical properties of local many-body systems and distinguishes them from structureless, rotationally invariant ensembles of random matrices.

• Jezik: Angleški jezik
• Ključne besede: eigenstate thermalization, quantum chaos, quantum circuits, quantum statistical mechanics, quantum spin chains, Floquet systems, random matrix theory
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2025
• Št. strani: Str. 140404-1-140404-7
• Številčenje: Vol. 134, iss. 14
• PID: 20.500.12556/RUL-181122
• UDK: 536.93
• ISSN pri članku: 0031-9007
• DOI: 10.1103/PhysRevLett.134.140404
• COBISS.SI-ID: 273055747
• Datum objave v RUL: 25.03.2026

Gradivo je del revije

• Naslov: Physical review letters
• Skrajšan naslov: Phys. rev. lett.
• Založnik: American Physical Society
• ISSN: 0031-9007
• COBISS.SI-ID: 1282575

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: termalizacija lastnih stanj, kvantni kaos, kvantna vezja, kvantna statistična mehanika, kvantna spinske verige, Floquetovi sistemi, teorija naključnih matrik