1993/07/31 by Todd A. Brun, Brun, Todd A.
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Chaos-based Image/Signal Encryption #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Statistical Mechanics and Entropy #chao-dyn #gr-qc #nlin.CD
paper · pdf · doi:10.48550/arxiv.chao-dyn/9307018
36 pages (RevTex 2.0 macros) + 13 figures (postscript, compressed and uuencoded)
openalex publication_date 1993/07/31 · arxiv created 1993/08/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using the decoherence formalism of Gell-Mann and Hartle, a quantum system is found which is the equivalent of the classical chaotic Duffing oscillator. The similarities and the differences from the classical oscillator are examined; in particular, a new concept of quantum maps is introduced, and alterations in the classical strange attractor due to the presence of scale- dependent quantum effects are studied. Classical quantities such as the Lyapunov exponents and fractal dimension are examined, and quantum analogs are suggested. These results are generalized into a framework for quantum dissipative chaos, and there is a brief discussion of other work in this area.