Quantum Frenkel-Kontorova model: A squeezed state approach

Bambi Hu; Baowen Li; Wei Min Zhang

doi:10.1103/PhysRevE.58.R4068

Quantum Frenkel-Kontorova model: A squeezed state approach

Bambi Hu
, Baowen Li
, Wei Min Zhang

Research output: Contribution to journal › Journal article › peer-review

21 Citations (Scopus)

Abstract

The squeezed state is used to study the one-dimensional quantum mechanical Frenkel-Kontorova model. A set of coupled equations for the particle’s expectation value and the fluctuations for the ground state are derived. It is shown that quantum fluctuations renormalize the standard map to an effective sawtooth map. The underlying mechanism provides an alternative and simple explanation of dynamical localization in quantum chaos.

Original language	English
Pages (from-to)	R4068-R4071
Number of pages	4
Journal	Physical Review E
Volume	58
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.58.R4068
Publication status	Published - 1 Oct 1998

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Cite this

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abstract = "The squeezed state is used to study the one-dimensional quantum mechanical Frenkel-Kontorova model. A set of coupled equations for the particle{\textquoteright}s expectation value and the fluctuations for the ground state are derived. It is shown that quantum fluctuations renormalize the standard map to an effective sawtooth map. The underlying mechanism provides an alternative and simple explanation of dynamical localization in quantum chaos.",

author = "Bambi Hu and Baowen Li and Zhang, \{Wei Min\}",

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AU - Zhang, Wei Min

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N2 - The squeezed state is used to study the one-dimensional quantum mechanical Frenkel-Kontorova model. A set of coupled equations for the particle’s expectation value and the fluctuations for the ground state are derived. It is shown that quantum fluctuations renormalize the standard map to an effective sawtooth map. The underlying mechanism provides an alternative and simple explanation of dynamical localization in quantum chaos.

AB - The squeezed state is used to study the one-dimensional quantum mechanical Frenkel-Kontorova model. A set of coupled equations for the particle’s expectation value and the fluctuations for the ground state are derived. It is shown that quantum fluctuations renormalize the standard map to an effective sawtooth map. The underlying mechanism provides an alternative and simple explanation of dynamical localization in quantum chaos.

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Quantum Frenkel-Kontorova model: A squeezed state approach

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