Matches in SemOpenAlex for { <https://semopenalex.org/work/W4387427462> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W4387427462 abstract "A closed quantum system thermalizes if for time $t to infty$, the function ${rm Tr} (A rho(t))$ tends asymptotically to ${rm Tr} (A rho_{rm eq})$. Here $A$ is an operator that represents an observable, $rho(t)$ is the time-dependent density matrix, and $rho_{rm eq}$ its equilibrium value. We investigate thermalization of a chaotic many-body quantum system by combining the Hartree-Fock (HF) approach and the Bohigas-Giannoni-Schmit (BGS) conjecture. The HF Hamiltonian defines an integrable system and the gross fatures of the spectrum. The residual interaction locally mixes the HF eigenstates. The BGS conjecture implies that the statistics of the resulting eigenvalues and eigenfunctions agrees with random-matrix predictions. In that way, the Hamiltonian $H$ of the system acquires statistical features. The agreement of the statistics with random-matrix properties is local, i.e, confined to an interval $Delta$ (the correlation width). With $rho(t) = exp { - i t H / hbar } rho(0) exp { i H t / hbar }$, the statistical properties of $H$ define the statistical properties of ${rm Tr} (A rho(t))$. Using these we show that in the semiclassical regime, ${rm Tr} (A rho(t))$ decays with time scale $hbar / Delta$ towards an asymptotic value. If the energy spread of the system is of order $Delta$, that value corresponds to statistical equilibrium. The correlation width $Delta$ is the central parameter of our approach. It defines the interval within which the spectral fluctuations agree with random-matrix predictions. It defines the maximum energy spread of the system that permits thermalization. And it defines the time scale $hbar / Delta$ within which ${rm Tr}(A rho(t))$ approaches the value ${rm Tr}(A rho_{rm eq})$." @default.
- W4387427462 created "2023-10-08" @default.
- W4387427462 creator A5032700756 @default.
- W4387427462 date "2023-10-04" @default.
- W4387427462 modified "2023-10-09" @default.
- W4387427462 title "Thermalization of closed chaotic many-body quantum systems" @default.
- W4387427462 doi "https://doi.org/10.48550/arxiv.2310.03053" @default.
- W4387427462 hasPublicationYear "2023" @default.
- W4387427462 type Work @default.
- W4387427462 citedByCount "0" @default.
- W4387427462 crossrefType "posted-content" @default.
- W4387427462 hasAuthorship W4387427462A5032700756 @default.
- W4387427462 hasBestOaLocation W43874274621 @default.
- W4387427462 hasConcept C10138342 @default.
- W4387427462 hasConcept C114614502 @default.
- W4387427462 hasConcept C121332964 @default.
- W4387427462 hasConcept C126255220 @default.
- W4387427462 hasConcept C128803854 @default.
- W4387427462 hasConcept C130787639 @default.
- W4387427462 hasConcept C158693339 @default.
- W4387427462 hasConcept C162324750 @default.
- W4387427462 hasConcept C182306322 @default.
- W4387427462 hasConcept C2780990831 @default.
- W4387427462 hasConcept C32848918 @default.
- W4387427462 hasConcept C33923547 @default.
- W4387427462 hasConcept C37914503 @default.
- W4387427462 hasConcept C535169671 @default.
- W4387427462 hasConcept C56911000 @default.
- W4387427462 hasConcept C62520636 @default.
- W4387427462 hasConcept C64812099 @default.
- W4387427462 hasConcept C84114770 @default.
- W4387427462 hasConceptScore W4387427462C10138342 @default.
- W4387427462 hasConceptScore W4387427462C114614502 @default.
- W4387427462 hasConceptScore W4387427462C121332964 @default.
- W4387427462 hasConceptScore W4387427462C126255220 @default.
- W4387427462 hasConceptScore W4387427462C128803854 @default.
- W4387427462 hasConceptScore W4387427462C130787639 @default.
- W4387427462 hasConceptScore W4387427462C158693339 @default.
- W4387427462 hasConceptScore W4387427462C162324750 @default.
- W4387427462 hasConceptScore W4387427462C182306322 @default.
- W4387427462 hasConceptScore W4387427462C2780990831 @default.
- W4387427462 hasConceptScore W4387427462C32848918 @default.
- W4387427462 hasConceptScore W4387427462C33923547 @default.
- W4387427462 hasConceptScore W4387427462C37914503 @default.
- W4387427462 hasConceptScore W4387427462C535169671 @default.
- W4387427462 hasConceptScore W4387427462C56911000 @default.
- W4387427462 hasConceptScore W4387427462C62520636 @default.
- W4387427462 hasConceptScore W4387427462C64812099 @default.
- W4387427462 hasConceptScore W4387427462C84114770 @default.
- W4387427462 hasLocation W43874274621 @default.
- W4387427462 hasOpenAccess W4387427462 @default.
- W4387427462 hasPrimaryLocation W43874274621 @default.
- W4387427462 hasRelatedWork W1509756984 @default.
- W4387427462 hasRelatedWork W1964726280 @default.
- W4387427462 hasRelatedWork W1982439410 @default.
- W4387427462 hasRelatedWork W2017697891 @default.
- W4387427462 hasRelatedWork W2032530382 @default.
- W4387427462 hasRelatedWork W2034836031 @default.
- W4387427462 hasRelatedWork W2950230136 @default.
- W4387427462 hasRelatedWork W3018725393 @default.
- W4387427462 hasRelatedWork W4287375354 @default.
- W4387427462 hasRelatedWork W4287813962 @default.
- W4387427462 isParatext "false" @default.
- W4387427462 isRetracted "false" @default.
- W4387427462 workType "article" @default.