Matches in SemOpenAlex for { <https://semopenalex.org/work/W2753815714> ?p ?o ?g. }
- W2753815714 abstract "It is by now well-known that ground states of gapped one-dimensional (1d) quantum-many body systems with short-range interactions can be studied efficiently using classical computers and matrix product state techniques. A corresponding result for finite temperatures was missing. Using the replica trick in 1+1d quantum field theory, it is shown here that the cost for the classical simulation of 1d systems at finite temperatures grows in fact only polynomially with the inverse temperature and is system-size independent -- even for gapless systems. In particular, we show that the thermofield double state (TDS), a purification of the equilibrium density operator, can be obtained efficiently in matrix-product form. The argument is based on the scaling behavior of R'enyi entanglement entropies in the TDS. At finite temperatures, they obey the area law. For gapless systems with central charge $c$, the entanglement is found to grow only logarithmically with inverse temperature, $S_alphasim frac{c}{6}(1+1/alpha)log beta$. The field-theoretical results are tested and confirmed by quasi-exact numerical computations for integrable and non-integrable spin systems, and interacting bosons." @default.
- W2753815714 created "2017-09-15" @default.
- W2753815714 creator A5019126088 @default.
- W2753815714 date "2017-08-30" @default.
- W2753815714 modified "2023-09-27" @default.
- W2753815714 title "One-dimensional quantum systems at finite temperatures can be simulated efficiently on classical computers" @default.
- W2753815714 cites W1515890111 @default.
- W2753815714 cites W1542921455 @default.
- W2753815714 cites W1549606184 @default.
- W2753815714 cites W1550261137 @default.
- W2753815714 cites W1550516781 @default.
- W2753815714 cites W1568620044 @default.
- W2753815714 cites W1571799119 @default.
- W2753815714 cites W1621050367 @default.
- W2753815714 cites W1621265897 @default.
- W2753815714 cites W1631356911 @default.
- W2753815714 cites W1860740507 @default.
- W2753815714 cites W1914955627 @default.
- W2753815714 cites W1967336145 @default.
- W2753815714 cites W1969631049 @default.
- W2753815714 cites W1971585707 @default.
- W2753815714 cites W1971710453 @default.
- W2753815714 cites W1972236812 @default.
- W2753815714 cites W1972445258 @default.
- W2753815714 cites W1975451401 @default.
- W2753815714 cites W1978073628 @default.
- W2753815714 cites W1978777550 @default.
- W2753815714 cites W1979308046 @default.
- W2753815714 cites W1990516747 @default.
- W2753815714 cites W1997126380 @default.
- W2753815714 cites W2000281602 @default.
- W2753815714 cites W2003954610 @default.
- W2753815714 cites W2005947770 @default.
- W2753815714 cites W2006332155 @default.
- W2753815714 cites W2007391198 @default.
- W2753815714 cites W2009930506 @default.
- W2753815714 cites W2015875935 @default.
- W2753815714 cites W2016407890 @default.
- W2753815714 cites W2021712328 @default.
- W2753815714 cites W2026541521 @default.
- W2753815714 cites W2027861911 @default.
- W2753815714 cites W2035413341 @default.
- W2753815714 cites W2036490361 @default.
- W2753815714 cites W2037768897 @default.
- W2753815714 cites W2039843295 @default.
- W2753815714 cites W2040122664 @default.
- W2753815714 cites W2040792108 @default.
- W2753815714 cites W2042545556 @default.
- W2753815714 cites W2044820576 @default.
- W2753815714 cites W2048398416 @default.
- W2753815714 cites W2055233086 @default.
- W2753815714 cites W2059178843 @default.
- W2753815714 cites W2064767171 @default.
- W2753815714 cites W2065120148 @default.
- W2753815714 cites W2066972040 @default.
- W2753815714 cites W2069840277 @default.
- W2753815714 cites W2074426935 @default.
- W2753815714 cites W2077316922 @default.
- W2753815714 cites W2091686396 @default.
- W2753815714 cites W2100140534 @default.
- W2753815714 cites W2101936997 @default.
- W2753815714 cites W2113166233 @default.
- W2753815714 cites W2120998799 @default.
- W2753815714 cites W2123610738 @default.
- W2753815714 cites W2137748572 @default.
- W2753815714 cites W2154815292 @default.
- W2753815714 cites W2167169427 @default.
- W2753815714 cites W2179731956 @default.
- W2753815714 cites W2223282020 @default.
- W2753815714 cites W2230547431 @default.
- W2753815714 cites W2247515272 @default.
- W2753815714 cites W2317586084 @default.
- W2753815714 cites W2441066892 @default.
- W2753815714 cites W245337057 @default.
- W2753815714 cites W2464644238 @default.
- W2753815714 cites W259346991 @default.
- W2753815714 cites W2593942004 @default.
- W2753815714 cites W2798909945 @default.
- W2753815714 cites W3102344217 @default.
- W2753815714 cites W3103713775 @default.
- W2753815714 cites W3105662496 @default.
- W2753815714 cites W1977755306 @default.
- W2753815714 cites W2040059039 @default.
- W2753815714 hasPublicationYear "2017" @default.
- W2753815714 type Work @default.
- W2753815714 sameAs 2753815714 @default.
- W2753815714 citedByCount "1" @default.
- W2753815714 countsByYear W27538157142017 @default.
- W2753815714 crossrefType "posted-content" @default.
- W2753815714 hasAuthorship W2753815714A5019126088 @default.
- W2753815714 hasConcept C104317684 @default.
- W2753815714 hasConcept C121040770 @default.
- W2753815714 hasConcept C121332964 @default.
- W2753815714 hasConcept C121864883 @default.
- W2753815714 hasConcept C158448853 @default.
- W2753815714 hasConcept C17020691 @default.
- W2753815714 hasConcept C17349429 @default.
- W2753815714 hasConcept C185592680 @default.
- W2753815714 hasConcept C200741047 @default.
- W2753815714 hasConcept C207467116 @default.