Enhancing von Neumann entropy by chaos in spin–orbit entanglement*

Abstract

For a quantum system with multiple degrees of freedom or subspaces, loss of coherence in a certain subspace is intimately related to the enhancement of entanglement between this subspace and another one. We investigate intra-particle entanglement in two-dimensional mesoscopic systems, where an electron has both spin and orbital degrees of freedom and the interaction between them is enabled by Rashba type of spin–orbit coupling. The geometric shape of the scattering region can be adjusted to produce a continuous spectrum of classical dynamics with different degree of chaos. Focusing on the spin degree of freedom in the weak spin–orbit coupling regime, we find that classical chaos can significantly enhance spin–orbit entanglement at the expense of spin coherence. Our finding that classical chaos can be beneficial to intra-particle entanglement may have potential applications such as enhancing the bandwidth of quantum communications.

An incommensurate fractional discrete macroeconomic system: Bifurcation, chaos, and complexity

“…[4] Recently, various complex dynamics residing in a fractional order iterated map have been investigated, such as chaos, hyperchaos and coexisting attractors. [5][6][7][8][9][10] For example, the hyperchaotic dynamics of the fractional generalized Hénon map have been analyzed, [11] while in Ref. [12], Peng et al established the existence of chaos in a fractional discrete memristor system.…”

Reversion of weak-measured quantum entanglement state*

“…However, environment effects on a entanglement system make its entanglement intensity decline rapidly. [22][23][24][25][26] Although there are several ways to increase its intensity, [27][28][29][30] we can well perform QC process if the initial entanglement state has strong capacity of resisting disturbance. Thus, selecting high quality entanglement state is also a significative work.…”