Kapulkin Arie, Pattanayak Arjendu K
128 Rockwood Crescent, Thornhill, Ontario L4J 7W1 Canada.
Phys Rev Lett. 2008 Aug 15;101(7):074101. doi: 10.1103/PhysRevLett.101.074101. Epub 2008 Aug 11.
The classical-quantum transition for chaotic systems is understood to be accompanied by the suppression of chaotic effects as the relative variant Planck's over 2pi is increased. We show evidence to the contrary in the behavior of the quantum trajectory dynamics of a dissipative quantum chaotic system, the double-well Duffing oscillator. The classical limit in the case considered has regular behavior, but as the effective variant Planck's over 2pi is increased we see chaotic behavior. This chaos then disappears deeper into the quantum regime, which means that the quantum-classical transition in this case is nonmonotonic in variant Planck's over 2pi.
对于混沌系统而言，经典 - 量子转变被认为是随着相对约化普朗克常数（普朗克常数除以2π）增大，混沌效应受到抑制。然而，我们在一个耗散量子混沌系统——双阱杜芬振子的量子轨迹动力学行为中发现了相反的证据。在所考虑的情况下，经典极限呈现出规则行为，但随着有效约化普朗克常数（普朗克常数除以2π）增大，我们却看到了混沌行为。这种混沌在更深的量子区域又会消失，这意味着在这种情况下，量子 - 经典转变在约化普朗克常数（普朗克常数除以2π）方面是非单调的。
