Quantum Correlations in Jahn-Teller Molecular Systems Simulated with Superconducting Circuits

TL;DR

This paper investigates quantum entanglement in Jahn-Teller molecular systems using superconducting circuits, providing analytical insights and discussing experimental detection feasibility amidst decoherence.

Contribution

It introduces a simulation approach for Jahn-Teller systems with superconducting circuits and analyzes quantum correlations between vibrational and electronic degrees of freedom.

Findings

Quantum entanglement between vibrational modes is analytically characterized.

Electronic-vibrational quantum correlations are examined and quantified.

Feasibility of experimental detection is discussed considering decoherence effects.

Abstract

We explore quantum correlations, in particular, quantum entanglement, among vibrational phonon modes as well as between electronic and vibrational degrees of freedom in molecular systems, described by Jahn-Teller mechanism. Specifically, to isolate and simplify the phonon-electron interactions in a complex molecular system, the basis of our discussions is taken to be the proposal of simulating two-frequency Jahn-Teller systems using superconducting circuit quantum electrodynamics systems (circuit QED) by Tekin Dereli and co-workers in 2012. We evaluate the quantum correlations, in particular entanglement between the vibrational phonon modes, and present analytical explanations using a single privileged Jahn-Teller mode picture. Furthermore, spin-orbit entanglement or quantum correlations between electronic and vibrational degrees of freedom are examined, too. We conclude by discussing experimental feasibility to detect such quantum correlations, considering the dephasing and decoherence in state-of-the-art superconducting two-level systems (qubits).