论文标题
用于有限尺寸量化系统的准静脉协议的量子不可逆性
Quantum irreversibility of quasistatic protocols for finite-size quantized systems
论文作者
论文摘要
从机械上讲，驱动过程有望在准危机极限（也称为绝热定理）中可逆。该陈述与经典力学相反，其中规则和混乱的动力学的混合意味着不可逆性。证明量子不可逆性中混乱签名的范式是一个扫描过程，其目的是从源轨道转移冷凝的玻色子。我们表明，这样的方案由绝热毛刺和混乱的耗尽过程的相互作用主导。后者暗示了破坏了哈密顿量的Bogoliubov的可集成性的相互作用术语。随着扫描速率的降低，遇到了由量子波动主导的跨界，以量子到古典的对应关系的分解。这张图片的主要方面不是由常见的两轨近似所捕获的，这意味着熟悉的多体Landau-Zener范式的失败。
Quantum mechanically, a driving process is expected to be reversible in the quasistatic limit, also known as the adiabatic theorem. This statement stands in opposition to classical mechanics, where a mix of regular and chaotic dynamics implies irreversibility. A paradigm for demonstrating the signatures of chaos in quantum irreversibility is a sweep process whose objective is to transfer condensed bosons from a source orbital. We show that such a protocol is dominated by an interplay of adiabatic-shuttling and chaos-assisted depletion processes. The latter is implied by interaction terms that spoil the Bogoliubov integrability of the Hamiltonian. As the sweep rate is lowered, a crossover to a regime that is dominated by quantum fluctuations is encountered, featuring a breakdown of quantum-to-classical correspondence. The major aspects of this picture are not captured by the common two-orbital approximation, which implies failure of the familiar many-body Landau-Zener paradigm.
