Many-Particle Quantum Chaos Beyond the Ehrenfest ``Number'' |
| B. Gutkina, V.A. Osipovb, c
aSchool of Mathematical Sciences, Holon Institute of Technology, Holon 5810201, Israel bInstitute for Advanced Study in Mathematics, Harbin Institute of Technology, 92 West Da Zhi Street, Harbin 150001, China cSuzhou Research Institute, Harbin Institute of Technology, 500 South Guandu Road, Suzhou 215104, China |
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| The theory of quantum chaos demonstrates the effectiveness of semiclassical methods based on periodic-orbit correlations for calculating spectral correlations in single-particle systems. However, extending this approach to the many-particle chaotic models is non-trivial. The development of a dedicated theory in the thermodynamic-semiclassical limit, where both the number of particles and 1/ħ tend to infinity, is required. In this paper, we address the above problem for a chain of cat maps with local nearest-neighbor interaction. We study the correlation mechanism between classical periodic orbits, which becomes relevant in the thermodynamic-semiclassical limit. Our findings are supported by exact results and by numerical evidence obtained for the coupled cat map model. |
DOI:10.12693/APhysPolA.148.S17 topics: many-body quantum chaos, periodic orbits, dual-unitary systems, coupled cat maps |