Entanglement induced by nonadiabatic chaos

Abstract

We investigate entanglement between electronic and nuclear degrees of freedom for a model nonadiabatic system. We find that entanglement (measured by the von Neumann entropy of the subsystem for the eigenstates) is large in a statistical sense when the system shows ``nonadiabatic chaos'' behavior which was found in our previous work [Phys. Rev. E {\bf 63}, 066221 (2001)]. We also discuss non-statistical behavior of the eigenstates for the regular cases.Comment: 4 pages, 6 figures, submitted to Phys. Rev.

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

“…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 …”

“…The strong coupling is critical for the quantum parallelism computation, for example, the strong coupling was found to play an important role in the CNOT (Controlled‐NOT) quantum logic gate . However, some investigations also found that the coupling could induce the decrease of fidelity of quantum gates, as the coupling between the qubit system and the remaining vibrational mode is one important resource of decoherence . That is to say, the function of the strong coupling between different modes is still a debate issue.…”

“…[11][12][13][14] Because of the importance of dynamical properties of entanglement, [15][16][17] it is worthwhile to investigate the dynamics of entanglement in the molecular systems. [18][19][20][21][22][23][24] The vibrational entanglement in the triatomic molecule has been studied frequently. The dynamical properties of stretching-stretching (SS) entanglement in symmetrical triatomic molecules were studied, and it was demonstrated that the mean entanglement exhibited a maximum near the position of the normal-to-local transition.…”

Entanglement between electronic and vibrational degrees of freedom in a laser-driven molecular system

“…Few studies have treated this subject and these works consider Hilbert spaces with low dimensionality. Special attention is attached to double-welled chemical systems, as embodying electronic-vibrational entanglement through the role played by the wavefunction delocalization [17,18], and to entanglement in relation with quantum chaos induced by non-adiabatic interaction due to the breakdown of the Born-Oppenheimer approximation [19].…”

A Curvature Dependent Bound for Entanglement Change in Classically Chaotic Systems

“…Since the physical devises are open systems and may operate in a non-linear regime, it is a natural question to be asked whether the dynamics of production or distraction of entanglement is related to the dynamical properties of the corresponding classical systems. There are many works dealing with this problem, namely , the connection between entanglement and quantum chaos, [3,6,7,8,4,5,9,10,12,13]. While it seems that there are some controversial results about the distractive or constructive influence of classical dynamics on entanglement , one can classify and understand the conditions for one or the other behavior.…”