Chaotic Dynamics in a Quantum Fermi-Pasta-Ulam Problem.

Alexander L Burin, Andrii O Maksymov, Ma'ayan Schmidt, Il'ya Ya Polishchuk

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In one paragraph

Article in Entropy (Basel, Switzerland), 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

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1citing papers in PubMed

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1 citing paper in PubMed.

Quantization of Integrable and Chaotic Three-Particle Fermi-Pasta-Ulam-Tsingou Models.Entropy (Basel, Switzerland) · 2023
Article

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5 · Who and what money

Authors and funding

4 authors.

Alexander L BurinDepartment of Chemistry, Tulane University, New Orleans, LA 70118, USA.ORCID 0000-0003-1922-1711

Andrii O MaksymovDepartment of Chemistry, Tulane University, New Orleans, LA 70118, USA.ORCID 0000-0002-8244-2851

Ma'ayan SchmidtDepartment of Chemistry, Tulane University, New Orleans, LA 70118, USA.

Il'ya Ya PolishchukNational Research Center "Kurchatov Institute", 123182 Moscow, Russia.

Funding

National Science Foundation CHE-1462075Tulane University Bridge Fund 0

6 · The paper itself

Abstract

We investigate the emergence of chaotic dynamics in a quantum Fermi-Pasta-Ulam problem for anharmonic vibrations in atomic chains applying semi-quantitative analysis of resonant interactions complemented by exact diagonalization numerical studies. The crossover energy separating chaotic high energy phase and localized (integrable) low energy phase is estimated. It decreases inversely proportionally to the number of atoms until approaching the quantum regime where this dependence saturates. The chaotic behavior appears at lower energies in systems with free or fixed ends boundary conditions compared to periodic systems. The applications of the theory to realistic molecules are discussed.

Indexed as

anharmonic vibrationsFermi—Pasta—Ulam problemmolecular vibrationsquantum chaosvibrational energy relaxation and transport

Identifiers

PMID33266767

DOI10.3390/e21010051

PMCPMC7514158

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