FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2033875786> ?p ?o ?g. }

• W2033875786 endingPage "3389" @default.
• W2033875786 startingPage "3373" @default.
• W2033875786 abstract "We present in this paper a systematic nonperturbative cluster-cumulant method for deriving thermal averages of operators in quantum many-body systems. The method combines the advantages of the cumulant expansion scheme of thermodynamic perturbation theory, the approach of thermofield dynamics as a finite-temperature field theory, and the time-dependent coupled-cluster theory extended to ``imaginary time.'' We have generalized the concepts of cumulants in a nonperturbative manner and have posited on the statistical operator an exponential-like ansatz containing connected, size-extensive operators in the exponent. These latter cumulantlike operators have been termed ``cluster cumulants'' by us. For a compact treatment, we have derived an alternative thermal field theory in which a time-ordered product is expanded in terms of ``thermal normal products'' of operators and thermal contractions---leading to a ``thermal Wick's theorem.'' The thermal normal products are the finite-temperature analogs of the ordinary normal products and have zero thermal averages. Operators in these products commute (anticommute) under permutations for bosons (fermions). This thermal representation is shown to be unitarily related to the traditional thermofield dynamics formulation, but has the advantage of using only the physical variables. The imaginary-time evolution of the statistical operator is treated by our recently formulated time-dependent cluster-cumulant theory. The partition function is evaluated as an exponential of a connected quantity. As an illustrative example, we have computed the partition function of an anharmonic oscillator with equally weighted cubic and quartic perturbation for a wide range of coupling, extending to the strongly nonperturbative regime. We study the behavior of free energy in the low-temperature limit and verify numerically the validity of the Kohn-Luttinger theorem [Phys. Rev. 118, 41 (1960)] for this system. We also show that our formalism is a natural nonperturbative analog of the thermodynamic perturbative theory by showing that a perturbative solution of the thermal-cluster-cumulant equations generates a variation of the Bloch--Balian--de Dominicis theory." @default.
• W2033875786 created "2016-06-24" @default.
• W2033875786 creator A5014530283 @default.
• W2033875786 creator A5016982525 @default.
• W2033875786 creator A5017675831 @default.
• W2033875786 creator A5081951195 @default.
• W2033875786 date "1993-11-01" @default.
• W2033875786 modified "2023-10-16" @default.
• W2033875786 title "Systematic nonperturbative approach for thermal averages in quantum many-body systems: The thermal-cluster-cumulant method" @default.
• W2033875786 cites W1966340872 @default.
• W2033875786 cites W1966372761 @default.
• W2033875786 cites W1968379930 @default.
• W2033875786 cites W1976594236 @default.
• W2033875786 cites W1982319703 @default.
• W2033875786 cites W1983598244 @default.
• W2033875786 cites W1992488173 @default.
• W2033875786 cites W1993433308 @default.
• W2033875786 cites W1994366590 @default.
• W2033875786 cites W2015287199 @default.
• W2033875786 cites W2015826327 @default.
• W2033875786 cites W2018763953 @default.
• W2033875786 cites W2020543863 @default.
• W2033875786 cites W2037159009 @default.
• W2033875786 cites W2045533438 @default.
• W2033875786 cites W2048225376 @default.
• W2033875786 cites W2053515955 @default.
• W2033875786 cites W2057471035 @default.
• W2033875786 cites W2057518997 @default.
• W2033875786 cites W2059630703 @default.
• W2033875786 cites W2060230617 @default.
• W2033875786 cites W2069129040 @default.
• W2033875786 cites W2069181215 @default.
• W2033875786 cites W2069605277 @default.
• W2033875786 cites W2074491390 @default.
• W2033875786 cites W2083317582 @default.
• W2033875786 cites W2086210988 @default.
• W2033875786 cites W2089168970 @default.
• W2033875786 cites W2089332933 @default.
• W2033875786 cites W2093024861 @default.
• W2033875786 cites W2103230617 @default.
• W2033875786 cites W2124138287 @default.
• W2033875786 cites W2132226278 @default.
• W2033875786 cites W3142882841 @default.
• W2033875786 doi "https://doi.org/10.1103/physreve.48.3373" @default.
• W2033875786 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/9960994" @default.
• W2033875786 hasPublicationYear "1993" @default.
• W2033875786 type Work @default.
• W2033875786 sameAs 2033875786 @default.
• W2033875786 citedByCount "31" @default.
• W2033875786 countsByYear W20338757862013 @default.
• W2033875786 countsByYear W20338757862014 @default.
• W2033875786 countsByYear W20338757862015 @default.
• W2033875786 countsByYear W20338757862018 @default.
• W2033875786 countsByYear W20338757862019 @default.
• W2033875786 countsByYear W20338757862020 @default.
• W2033875786 countsByYear W20338757862021 @default.
• W2033875786 countsByYear W20338757862022 @default.
• W2033875786 countsByYear W20338757862023 @default.
• W2033875786 crossrefType "journal-article" @default.
• W2033875786 hasAuthorship W2033875786A5014530283 @default.
• W2033875786 hasAuthorship W2033875786A5016982525 @default.
• W2033875786 hasAuthorship W2033875786A5017675831 @default.
• W2033875786 hasAuthorship W2033875786A5081951195 @default.
• W2033875786 hasConcept C104317684 @default.
• W2033875786 hasConcept C105795698 @default.
• W2033875786 hasConcept C108568745 @default.
• W2033875786 hasConcept C121332964 @default.
• W2033875786 hasConcept C121864883 @default.
• W2033875786 hasConcept C130432447 @default.
• W2033875786 hasConcept C130979935 @default.
• W2033875786 hasConcept C134306372 @default.
• W2033875786 hasConcept C151376022 @default.
• W2033875786 hasConcept C158448853 @default.
• W2033875786 hasConcept C17020691 @default.
• W2033875786 hasConcept C172686274 @default.
• W2033875786 hasConcept C174256460 @default.
• W2033875786 hasConcept C185592680 @default.
• W2033875786 hasConcept C202444582 @default.
• W2033875786 hasConcept C22393281 @default.
• W2033875786 hasConcept C2778401447 @default.
• W2033875786 hasConcept C33923547 @default.
• W2033875786 hasConcept C55493867 @default.
• W2033875786 hasConcept C62520636 @default.
• W2033875786 hasConcept C79118098 @default.
• W2033875786 hasConcept C84114770 @default.
• W2033875786 hasConcept C86339819 @default.
• W2033875786 hasConcept C99874945 @default.
• W2033875786 hasConceptScore W2033875786C104317684 @default.
• W2033875786 hasConceptScore W2033875786C105795698 @default.
• W2033875786 hasConceptScore W2033875786C108568745 @default.
• W2033875786 hasConceptScore W2033875786C121332964 @default.
• W2033875786 hasConceptScore W2033875786C121864883 @default.
• W2033875786 hasConceptScore W2033875786C130432447 @default.
• W2033875786 hasConceptScore W2033875786C130979935 @default.
• W2033875786 hasConceptScore W2033875786C134306372 @default.
• W2033875786 hasConceptScore W2033875786C151376022 @default.
• W2033875786 hasConceptScore W2033875786C158448853 @default.
• W2033875786 hasConceptScore W2033875786C17020691 @default.

• next