caa a22 4500 469066377 CHVBK 20180323132909.0 cr unu---uuuuu 170328e19920501xx s 000 0 eng 10.1007/BF02723631 doi (NATIONALLICENCE)springer-10.1007/BF02723631 Order indices for boson density matrices [Elektronische Daten] [A. Coleman, V. Yukalov] Summary: We study low-temperature properties of boson density matrices when macroscopic occupation of quantum energy levels can occur. An important novelty of our approach is the definition of order indices that characterize the behaviour of largest eigenvalues of density matrices in the thermodynamic limit. Continuous variation of the order indices gives rise to a whole spectrum of possible order types: long-range order, mid-range order and short-range order. A relation between order indices is found. As an illustration of the general scheme a new model exemplifying mid-range order is constructed. Società Italiana di Fisica, 1992 PACS 05.30.Jp Boson systems nationallicence PACS 03.65 Quantum theory nationallicence quantum mechanics nationallicence PACS 64.60 General studies of phase transitions nationallicence Coleman A. Department of Mathematics and Statistics, Queen's University, K7L 3N6, Kingston, Canada aut Yukalov V. Department of Mathematics and Statistics, Queen's University, K7L 3N6, Kingston, Canada aut Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/5(1992-05-01), 535-552 107:5<535 1992 107 40764 https://doi.org/10.1007/BF02723631 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02723631 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Coleman A. Department of Mathematics and Statistics, Queen's University, K7L 3N6, Kingston, Canada aut NATIONALLICENCE 700 1- Yukalov V. Department of Mathematics and Statistics, Queen's University, K7L 3N6, Kingston, Canada aut NATIONALLICENCE 773 0- Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/5(1992-05-01), 535-552 107:5<535 1992 107 40764 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer