Vibrational Effects on the Formation of Quantum $W$ States

Reconstructing the vibrational state of a trapped ion

A new approach for reconstructing the vibrational quantum state of a trapped ion is proposed. The method rests upon the current ability of manipulating the trapped ion state and on the possibility of effectively measuring the scalar product of the two vibrational cofactors of a vibronic entangled state. The experimental feasibility of the method is briefly discussed.

Isolating Polaritonic 2D-IR Transmission Spectra

Strong coupling between vibrational transitions in molecules within a resonant optical microcavity leads to the formation of collective, delocalized vibrational polaritons. There are many potential applications of "polaritonic chemistry," ranging from modified chemical reactivity to quantum in-formation processing. One challenge in obtaining the polaritonic response is to remove a background contribution due to the uncoupled molecules that generate an ordinary 2D-IR spectrum whose amplitude is filtered by the polariton transmission spectrum. We show that most features in 2D-IR spectra of vibra…

Calculating the noise flux of spontaneous emission radiated from Hydrogen-like atoms by means of vibrational Hamiltonian and ignoring from ambient effects

A theoretical model is introduced for constructing the vibrational Hamiltonian of Hydrogen-like atoms (HLA). The Hamiltonian is then used to derive the vibrational motion equations of HLA in Heisenberg picture. The Langevin equation will ultimately be formed after adding the dissipative term and fluctuating (Langevin) force according to the fluctuation-dissipation theorem (FDT). The positional noise flux is then defined as the correlation function of fluctuations that happens for the electron position during its rather fast vibrational oscillations ( ). On the other hand, the positional fluctu…

分子量子光学中的多级Purcell效应及振动模式的影响

Multi-level Purcell effect and the impact of vibrational modes in molecular quantum optics

本研究针对多能级分子系统的腔耦合效应尚不明确的问题，以光合二聚体为对象探究振动模式对Purcell区域系统-腔行为的影响，通过有效非厄米哈密顿量构建了多级Purcell效应的理论框架。

Effective Hamiltonian for two-electron Quantum Dots from weak to strong parabolic confinement

We model quasi-two-dimensional two-electron Quantum Dots in a parabolic confinement potential with rovibrational and purely vibrational effective Hamiltonian operators. These are optimized by non-linear least-square fits to the exact energy levels. We find, that the vibrational Hamiltonian describes the energy levels well and reveals how relative contributions change on varying the confinement strength. The rovibrational model suggests the formation of a rigid two-electron molecule in weak confinement and we further present a modified model, that allows a very accurate transition from weak to …

Vibrational dressing in Kinetically Constrained Rydberg Spin Systems

Quantum spin systems with kinetic constraints have become paradigmatic for exploring collective dynamical behaviour in many-body systems. Here we discuss a facilitated spin system which is inspired by recent progress in the realization of Rydberg quantum simulators. This platform allows to control and investigate the interplay between facilitation dynamics and the coupling of spin degrees of freedom to lattice vibrations. Developing a minimal model, we show that this leads to the formation of polaronic quasiparticle excitations which are formed by many-body spin states dressed by phonons. We i…

振动极化子化学的微观理论

Microscopic Theory of Vibrational Polariton Chemistry

提出一种微观理论，通过腔模促进反应物基态到振动激发态的跃迁，解释振动强耦合下的反应速率修正、共振效应及集体效应，并给出可验证预测。

Coherent Control of Vibrational State Population in a Nonpolar Molecule

A coherent control scheme for the population distribution in the vibrational states of nonpolar molecules is proposed. Our theoretical analysis and results of numerical simulations for the interaction of the hydrogen molecular ion in its electronic ground state with an infrared laser pulse reveal a selective two-photon transition between the vibrational states via a coupling with the first excited dissociative state. We demonstrate that for a given temporal intensity profile the population transfer between vibrational states, or a superposition of vibrational states, can be made complete for a…

Vibrational effects in charge transport through a molecular double quantum dot

Recent progress in the field of molecular electronics has revealed the fundamental importance of the coupling between the electronic degrees of freedom and specific vibrational modes. Considering the examples of a molecular dimer and a carbon nanotube double quantum dot, we here theoretically investigate transport through a two-site system that is strongly coupled to a single vibrational mode. Using a quantum master equation approach, we demonstrate that, depending on the relative positions of the two dots, electron-phonon interactions can lead to negative differential conductance and suppress…

长程极化激元介导能量转移中的非马尔可夫效应

Non-Markovian effects in long-range polariton-mediated energy transfer

本文利用PT-MPO方法精确描述分子振动环境与光-物质平均场相互作用，研究了长程极化激元介导的能量转移，揭示了强振动耦合下的非马尔可夫效应及极化子形成机制。

通过量子信息度量视角研究振动纠缠

Vibrational Entanglement through the Lens of Quantum Information Measures

该研究引入振动波函数的量子信息分析方法，定义单/双模态熵，结合n模振动密度矩阵重整化群算法，分析CO₂振动态的纠缠特征，为理解强非谐耦合分子的复杂振动光谱提供新视角。

Sharp negative differential resistance from vibrational mode softening in molecular junctions

We unravel the critical role of vibrational mode softening in single-molecule electronic devices at high bias. Our theoretical analysis is carried out with a minimal model for molecular junctions, with mode softening arising due to quadratic electron-vibration couplings, and by developing a mean-field approach. We discover that the negative sign of the quadratic electron-vibration coupling coefficient can realize at high voltage a sharp negative differential resistance (NDR) effect with a large peak-to-valley ratio. Calculated current-voltage characteristics, obtained based on ab initio parame…

Theory of Vibrational Polariton Chemistry in the Collective Coupling Regime

We theoretically demonstrate that chemical reaction rate constant can be significantly suppressed by coupling molecular vibrations with an optical cavity, exhibiting both the collective coupling effect and the cavity-frequency modification of the rate constant. When a reaction coordinate is strongly coupled to the solvent molecules, the reaction rate constant is reduced due to the dynamical caging effect. We demonstrate that collectively coupling the solvent to the cavity can further enhance this dynamical caging effect, leading to additional suppression of the chemical kinetics. This effect i…