交换控制的量子拍频与纠缠：激子-双模腔系统中的研究

中文摘要 AI 辅助

我们理论上证明了一个双激子系统与双模光学腔耦合时，包括激子-激子交换相互作用，可以实现可调谐的粒子数转移和纠缠产生。通过使用缀饰态变换和Löwdin划分，我们推导出有效哈密顿量，识别出三个动力学时间尺度：局域极化子振荡、长周期缀饰态拍频和直接激子交换。我们将该框架应用于石墨烯纳米带激子，利用从第一性原理计算获得的激子能量、跃迁偶极矩和寿命来参数化模型。在小交换和中交换区域，动力学变得多尺度，拍频通道在长耗散时间窗口内维持显著的量子纠缠。在大交换区域，激子哈密顿量占主导，并在多个相干周期内驱动激子态之间近乎完全的粒子数转移。所得解析表达式提供了直接的设计规则，将拍频周期、转移幅度和相干周期数与交换相互作用、腔失谐和光-物质耦合联系起来。我们的结果为在激子-双模腔系统中工程化长寿命纠缠和相干激子操作建立了一条可控途径。

英文摘要

We theoretically demonstrate tunable population transfer and entanglement generation in a two-exciton system coupled to a bimodal optical cavity, including an exciton-exciton exchange interaction. By using dressed-state transformations and Löwdin partitioning, we derive effective Hamiltonians that identify three dynamical time scales: local polaritonic oscillations, long-period dressed-state beats, and direct excitonic exchange. We apply the framework to graphene nanoribbon excitons, using excitonic energies, transition dipoles, and lifetimes obtained from first-principles calculations to parameterize the model. In the small- and moderate-exchange regimes, the dynamics become multiscale, and the beat channel sustains sizable quantum entanglement over long dissipative time windows. In the large-exchange regime, the excitonic Hamiltonian dominates and drives nearly complete population transfer between excitonic states over many coherent cycles. The resulting analytical expressions provide direct design rules connecting the beat period, transfer amplitude, and coherent-cycle number to the exchange interaction, cavity detuning, and light--matter coupling. Our results establish a controllable route for engineering long-lived entanglement and coherent excitonic operations in exciton--bimodal-cavity systems.

发表机构

• Federal University of Santa Maria（圣玛丽亚联邦大学）
• Universidad Privada del Norte（北方私立大学）
• Institute for Basic Science (IBS)（基础科学研究院）
• Ewha Womans University（梨花女子大学）

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