Destruction of classical cantori in the quantum Frenkel-Kontorova model | Zendy

F. Borgonovi | Zendy; Italo Guarneri | Zendy; Dima L. Shepelyansky | Zendy

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Destruction of classical cantori in the quantum Frenkel-Kontorova model

Author(s) -

F. Borgonovi,

Italo Guarneri,

Dima L. Shepelyansky

Publication year - 1990

Publication title -

zeitschrift für physik b condensed matter

Language(s) - English

Resource type - Journals

eISSN - 1431-584X

pISSN - 0722-3277

DOI - 10.1007/bf01387834

Subject(s) - sawtooth wave , quantum , quantization (signal processing) , statistical physics , ground state , physics , quantum mechanics , mathematics , computer science , algorithm , computer vision

In this paper we investigate the properties of the quantized discrete Frenkel Kontorova model. The structure of the ground state is numerically analyzed by means of the Metropolis algorithm; special attention is given to the effects of quantization on the Cantori structure of the classical ground state. These quantum effects produce a new structure which can be approximately described by using a sawtooth map instead of the Standard map. The dependence of the quantum energy on temperature is also investigated and discussed in connection with these structural modifications.

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