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• W2065963973 abstract "We are interested in the evaluation of the one- and two-body density matrices for extended boson matter. A trial function Ψ = Π i<j A⨍(r ij ) of Bijl-Dingle-Jastrow form provides a reasonable first approximation to the ground state wave function of A bosons. The corresponding one-body density matrix has a structure n ( r ) = ρn c exp [− Q ( r )] in the thermodynamic limit and shows off-diagonal long range order, n ( r )→- ρn c > 0 as r → ∞. The condensate fraction is given by n c = exp Q (0). A similar structure is found for the two-body density matrix, n ( r 1 , r 2 , r ' 1 , r ' 2 ) = χ ( r ) χ ( r ') exp [− R (r 1 , r 2 , r' 1 ,r' 2 )] where r ≡ ¦r 1 − r 2 ¦, r' ≡ ¦r' 1 − r' 2 ¦ . The behavior over macroscopic distances is characterized by off-diagonal long range order of pairing type, n ( r 1 , r 2 , r ' 1 , r ' 2 ) → χ ( r ) χ ( r ') as ¦ r 1 − r' 1 ¦ → ∞ while r, r' < ∞ , in close analogy to the pairing phenomenon in Fermi superfluids. The pairing function χ ( r ) is related to the one-body density matrix by χ(r) = ⨍(r)n(r) . The basic quantities Q ( r ) and Q (0) are analysed (i) in terms of a standard factor cluster expansion, (ii) in terms of a highly summed cluster expansion in the compact portions of the successive distribution functions g ( r 12 ), g 3 ( r 1 , r 2 , r 3 ), …, (iii) within the hypernetted chain (HNC) framework. The HNC equations for Q ( r ) are solved analytically for uniform Bose fluids described by ¦g(r) − 1¦ ⪅ K ⪡ 1 . We find in the uniform limit Q ( r ) = −(2 π ) −3 (4 ρ ) −1 ∫ [ S ( k ) − 1] 2 S −1 ( k ) exp (i k · r )d k where S ( k ) is the liquid structure function. The HNC formalism for quantities Q ( r ) and Q (0) is employed in a numerical study of the long-range order in (i) the charged boson system, (ii) a model of neutron matter, (iii) liquid 4 He." @default.
• W2065963973 created "2016-06-24" @default.
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• W2065963973 date "1979-10-01" @default.
• W2065963973 modified "2023-09-30" @default.
• W2065963973 title "Long-range order in bose fluids" @default.
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• W2065963973 doi "https://doi.org/10.1016/0375-9474(79)90223-9" @default.
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