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On the Gibbs states for one-dimensional lattice Boson systems with a long-range interaction (1993)

Olivieri, E. ; Picco, P. ; Suhov, Yu. M.

Springer

Journal of statistical physics 70 (1993), S. 985-1028

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Details

ISSN: 1572-9613

Schlagwort(e): Quantum systems ; Gibbs states

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: Abstract We consider an infinite chain of interacting quantum (anharmonic) oscillators. The pair potential for the oscillators at lattice distanced is proportional to {d 2[log(d+1)]F(d)}−1 where ∑ r∈Z [rF(r)]−1 〈 ∞. We prove that for any value of the inverse temperatureβ〉 0 there exists a limiting Gibbs state which is translationally invariant and ergodic. Furthermore, it is analytic in a natural sense. This shows the absence of phase transitions in the systems under consideration for any value of the thermodynamic parameters.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01053604

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