Floquet 工程化的涌现有质量 Nambu-Goldstone 模式
Floquet-engineered Emergent Massive Nambu-Goldstone Modes
AI总结：
提出在受驱多体系统中通过有效 Hamiltonian 的 Lie 群结构与弱显式对称性破缺实现有质量 Nambu-Goldstone 模式的通用框架，并给出实验方案与认证协议。
摘要：
我们提出了一个在受驱多体系统中实现有质量 Nambu-Goldstone 准粒子的通用框架。其底层机制利用了压印到有效 Hamiltonian 中的显式 Lie 群结构，该 Hamiltonian 支配慢自由度的动力学；由此产生的涌现连续对称性受到弱显式破缺，从而产生有质量 Nambu-Goldstone 模式，其谱质量隙随驱动周期线性缩放。我们讨论了明确且可在实验上实现的方案，例如支持有隙自旋波激发的类 Heisenberg 自旋模型。我们提供了一种从特定可观测量的动力学来验证有质量 Nambu-Goldstone 模式存在性的协议，并分析了在弱显式对称性破缺存在时的色散谱及其寿命。
英文摘要：
We present a general framework to implement massive Nambu-Goldstone quasi-particles in driven many-body systems. The underlying mechanism leverages an explicit Lie group structure imprinted into an effective Hamiltonian that governs the dynamics of slow degrees of freedom; the resulting emergent continuous symmetry is weakly explicitly broken, giving rise to a massive Nambu-Goldstone mode, with a spectral mass gap scaling linearly with the drive period. We discuss explicit and experimentally implementable realizations, such as Heisenberg-like spin models that support gapped spin-wave excitations. We provide a protocol to certify the existence of the massive Nambu-Goldstone mode from the dynamics of specific observables, and analyse the dispersion spectrum and their lifetime in the presence of weak explicit symmetry breaking.
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