论文标题
有限温度混乱的费米系统中的超级量子量子工作和绝热量子演变
Superdiffusive quantum work and adiabatic quantum evolution in finite temperature chaotic Fermi systems
论文作者
论文摘要
我们研究了有限温度下的通用，非相互作用，无序的费米纳米系统中量子工作的完整分布。我们得出了从热初始状态开始的量子淬灭的工作统计特征函数的分析决定因素公式。与费米气体的热能相比，工作分布是高斯，工作的方差与平均工作成正比，而在低温或较大的工作限制中，观察到具有超级散发性工作波动的非高斯分布。同样，绝热性概率的时间依赖性从指数延伸到拉伸指数行为。对于足够大的平均工作，工作分布变得通用，仅取决于温度和平均工作。除初始的低温瞬变外，从热核颗粒开始，从热核颗粒开始，从热核颗粒开始，从而很好地捕获了工作统计数据。我们的发现可以通过对纳米级电路的测量或单个量子线干涉法来验证。
We study the full distribution of quantum work in generic, noninteracting, disordered fermionic nanosystems at finite temperature. We derive an analytical determinant formula for the characteristic function of work statistics for quantum quenches starting from a thermal initial state. For work small compared to the thermal energy of the Fermi gas, work distribution is Gaussian, and the variance of work is proportional to the average work, while in the low temperature or large work limit, a non-Gaussian distribution with superdiffusive work fluctuations is observed. Similarly, the time dependence of the probability of adiabaticity crosses over from an exponential to a stretched exponential behavior. For large enough average work, the work distribution becomes universal, and depends only on the temperature and the mean work. Apart from initial low temperature transients, work statistics are well captured by a Markovian energy-space diffusion process of hard-core particles, starting from a thermal initial state. Our findings can be verified by measurements on nanoscale circuits or via single qubit interferometry.
