The assumption that quasi-static transformations do not quantitatively alter the equilibrium expectation of observables is at the heart of thermodynamics and, in the quantum realm, its validity may be confirmed by the application of adiabatic perturbation theory. Yet, this scenario does not straightforwardly apply to Bosonic systems whose excitation energy is slowly driven through the zero. Here, we prove that the universal slow dynamics of such systems is always non-adiabatic and the quantum corrections to the equilibrium observables become rate independent for any dynamical protocol in the slow drive limit. These findings overturn the common expectation for quasi-static processes as they demonstrate that a system as simple and general as the quantum harmonic oscillator, does not allow for a slow-drive limit, but it always displays sudden quench dynamics.

准静态变换不会定量改变可观测量的平衡期望的假设是热力学的核心，在量子领域，其有效性可以通过绝热微扰理论的应用得到证实。然而，这种情况并不直接适用于激发能量缓慢通过零的玻色子系统。在这里，我们证明了此类系统的普遍慢动力学始终是非绝热的，并且对于慢驱动极限中的任何动力学协议，对平衡可观测量的量子校正变得与速率无关。这些发现推翻了对准静态过程的普遍预期，因为它们证明了像量子谐振子一样简单和通用的系统，不允许慢速驱动限制，