Dynamical localization in a non-Hermitian Floquet synthetic system

We investigate the non-Hermitian effects on quantum diffusion in a kicked rotor model where the complex kicking potential is quasi-periodically modulated in the time domain.The synthetic space with arbitrary dimension can be created by incorporating incommensurate frequencies in the quasi-periodical modulation.In the Hermitian case,strong kicking induces the chaotic diffusion in the four-dimension momentum space characterized by linear growth of mean energy.We find that the quantum coherence in deep non-Hermitian regime can effectively suppress the chaotic diffusion and hence result in the emergence of dynamical localization.Moreover,the extent of dynamical localization is dramatically enhanced by increasing the non-Hermitian parameter.Interestingly,the quasi-energies become complex when the non-Hermitian parameter exceeds a certain threshold value.The quantum state will finally evolve to a quasi-eigenstate for which the imaginary part of its quasi-energy is large most.The exponential localization length decreases with the increase of the non-Hermitian parameter,unveiling the underlying mechanism of the enhancement of the dynamical localization by nonHermiticity.

盐酸催化薯蓣皂苷水解过程的优化研究

目的:研究盐酸催化黄姜提取液中薯蓣皂苷水解过程的优化。方法:通过正交试验、单因素试验研究了盐酸浓度、反应温度、反应时间等因素及其交互作用对薯蓣皂苷水解的影响。结果:获得黄姜提取液的最佳水解条件为反应温度90℃,反应时间3h,盐酸浓度2.0mol/L。结论:盐酸浓度和反应温度对结果有显著影响,应着重加以控制。

工科大学物理数字化与智能化教学方式探索与方法革新

数字化和智能化信息技术的快速发展,对工科大学物理课程传统教学方式带来颠覆性的影响。本文探讨在工科大学物理公共课中引入数字化和智能化信息技术,具体包括:设计多样化的在线课程;构建有效的虚拟实验环境;实现智能化学习系统;设计可量化的个性化评估方案。数字化和智能化教学方式消除了传统教学方法对地域和时间的限制,使更多的学生获得高质量的物理教学资源。这有助于普及大学物理知识,减少了不同地区之间的教学差距,为广大学生提供了学习机会。

Super-ballistic diffusion in a quasi-periodic non-Hermitian driven system with nonlinear interaction

We investigate the effects of nonlinear interactions on quantum diffusion in a quasi-periodic quantum kicked rotor system,featuring a non-Hermitian kicking potential.Remarkably,when the non-Hermitian driving strength is sufficiently strong,the energy diffusion follows a power law of time,characterized by an exponent that decreases monotonically with increasing the strength of nonlinear interactions.This demonstrates the emergence of super-ballistic diffusion(SBD).We find a distinct prethermalization stage in the time domain preceding the onset of SBD.The unique quantum diffusion phenomena observed in this chaotic system can be attributed to the decoherence effects generated by the interplay between nonlinear interactions and the non-Hermitian kicking potential.

Quantum to Classical Transition by a Classically Small Interaction

We investigate the quantum-classical transition of a kicked rotor （KR） under perturbation by a second one. The influence of such a chaotic KR makes decoherence of the first one, resulting in the emergence of classical diffusion from its quantum dynamics. Such quantum-classical transition persists by decreasing the effective Planck＇s constant h, and at the same time, decreasing the mass of the second KR and the interaction strength proportionally. In the limit of h → 0, due to vanishing small mass and interaction, the second KR has almost no effect on the classieal dynamics of the first one. We demonstrate this via two different coupling potentials.

Characterizing entanglement in non-Hermitian chaotic systems via out-of-time ordered correlators

We investigate the quantum entanglement in a non-Hermitian kicking system.In the Hermitian case,the out-of-time ordered correlators(OTOCs)exhibit the unbounded power-law increase with time.Correspondingly,the linear entropy,which is a common measurement of entanglement,rapidly increases from zero to almost unity,indicating the formation of quantum entanglement.For strong enough non-Hermitian driving,both the OTOCs and linear entropy rapidly saturate as time evolves.Interestingly,with the increase of non-Hermitian kicking strength,the long-time averaged value of both OTOCs and linear entropy has the same transition point where they exhibit the sharp decrease from a plateau,demonstrating the disentanglment.We reveal the mechanism of disentanglement with the extension of Floquet theory to non-Hermitian systems.

Chaotic dynamics of complex trajectory and its quantum signature

We investigate both the quantum and classical dynamics of a non-Hermitian system via a kicked rotor model with PT symmetry.For the quantum dynamics,both the mean momentum and mean square of momentum exhibit the staircase growth with time when the system parameter is in the neighborhood of the PT symmetry breaking point.If the system parameter is much larger than the PT symmetry breaking point,the accelerator mode results in the directed spreading of the wavepackets as well as the ballistic diffusion in momentum space.For the classical dynamics,the non-Hermitian kicking potential leads to the exponentially-fast increase of classical complex trajectories.As a consequence,the imaginary part of the trajectories exponentially diffuses with time,while the real part exhibits the normal diffusion.Our analytical prediction of the exponential diffusion of imaginary momentum and its breakdown time is in good agreement with numerical results.The quantum signature of the chaotic diffusion of the complex trajectories is reflected by the dynamics of the out-of-timeorder correlators(OTOC).In the semiclassical regime,the rate of the exponential increase of the OTOC is equal to that of the exponential diffusion of the complex trajectories.

Quantum to classical transition induced by a classically small influence

We investigate the quantum to classical transition induced by two-particle interaction via a system of periodically kicked particles.The classical dynamics of particle 1 is almost unaffected in condition that its mass is much larger than that of particle 2.Interestingly,such classically weak influence leads to the quantum to classical transition of the dynamical behavior of particle 1.Namely,the quantum diffusion of this particle undergoes the transition from dynamical localization to the classically chaotic diffusion with the decrease of the effective Planck constantħeff.The behind physics is due to the growth of entanglement in the system.The classically very weak interaction leads to the exponential decay of purity in condition that the classical dynamics of external degrees freedom is strongly chaotic.

混沌微扰导致的量子退相干

研究了无限深势阱内两个粒子的耦合导致的量子退相干和量子行为趋近于经典混沌运动的过程.当一个粒子的质量减小时,它对另外一个粒子经典混沌扩散的影响逐渐减小.强混沌机理使得轻粒子的作用类似于噪声,从而有效得抑制另外一个粒子的量子相干性.轻粒子的退相干效应随着有效普朗克常数的减小逐渐增强.在这个过程中,另外一个粒子的量子扩散从动力学局域化行为逐渐过渡到经典极限.当有效普朗克常数足够小时,它的量子扩散与经典混沌扩散相符合.该粒子的线性墒随时间演化迅速趋近于饱和值,并且饱和值随着有效普朗克常数减小以指数函数形式从零趋近于1.

玻色-爱因斯坦凝聚体中非线性相互作用对量子共振棘流的影响

研究了玻色-爱因斯坦凝聚体中非线性相互作用对量子共振棘流的影响.满足量子共振条件的周期驱动使得波包在动量空间出现弹道扩散,当波包扩散具有特定方向时,系统就出现定向的动量流.弱非线性相互作用下的冷原子分成两簇,它们分别受到方向相反的稳定周期驱动力,以各自恒定的加速度沿相反方向运动.波包在动量空间的扩散表现为两个稳定的沿相反方向运动的峰.非线性相互作用的增强使得正方向运动的冷原子减少,负方向运动的冷原子增加,从而系统的动量流减弱甚至反转.当非线性相互作用足够强时,动量空间中的波包只有一个稳定的峰,且峰值对应的动量不随时间变化.此时冷原子受的周期驱动力为零,定向的动量流消失.