Dynamics of vibrational chaos and entanglement in triatomic molecules: Lie algebraic model

Abstract

In this paper, the dynamics of chaos and the entanglement in triatomic molecular vibrations are investigated. On the classical aspect, we study the chaotic trajectories in the phase space. We employ the linear entropy to examine the dynamical entanglement of the two bonds on the quantum aspect. The correspondence between the classical chaos and the quantum dynamical entanglement is also investigated. As an example, we apply our algebraic model to molecule H2O.

Dynamical entanglement of stretching–stretching and stretching–bending vibrations in SO2

“…As demonstrated in the previous study, the SS entanglement is determined by the energy exchange between SS vibrations . As the coupling of SS vibrations is strong for normal mode molecules, the energy transfer is freely . As a result, the maximum entanglement is achieved.…”

“…Entanglement, the most intriguing feature of quantum mechanics, is a vital resource for many quantum information applications including quantum computing, quantum cryptography, quantum teleportation, and quantum metrology . Because of the importance of dynamical properties of entanglement, it is worthwhile to investigate the dynamics of entanglement in the molecular systems …”

Entanglement, energy transfer and coherence visibility in small molecular systems

“…This reproves the previous analysis that the linear entropy and the absolute value of E is anticorrelation. Moreover, it should be mentioned that the properties obtained about these molecular systems, such as the shape of the section of S l ∼ E, the emergence of the phenomenon of the energy localization, and the dynamical synchronism of entanglement and energy difference etc, are their general properties [12][13][14].…”

“…Entanglement, as a basic resource of quantum computation, has been investigated in molecular systems [6][7][8][9][10][11][12][13][14] and it has been confirmed to be controllable by using appropriately tailored external IR laser fields [15][16][17][18], where the fields can be designed by optimal control theory [19][20][21]. In addition, the influence of the intramolecular vibrational energy redistribution (IVR) on the entanglement has been discussed [22].…”

Dynamical correlation between quantum entanglement and intramolecular energy in molecular vibrations: An algebraic approach

“…[11] Since then, this approach has attracted increasing attention and achieved tremendous progress in recent years. [12][13][14][15][16][17][18][19][20] The molecular vibrational or rotational state approach has three advantages compared with the previously referred physical models. First, the operations of multiple qubits can be realized conveniently by several vibrational modes or rotational modes in the molecules.…”