Nonequilibrium dynamics and control of ultracold gases in one dimension
数学专题报告
报告题目(Title)：Nonequilibrium dynamics and control of ultracold gases in one dimension
报告人(Speaker)：杨晶 博士(卢森堡大学)
地点(Place)：1225报告厅
时间(Time)：2023年2月15日(周三), 14:00-15:00
邀请人(Inviter)：熊云丰
报告摘要
One dimensional many-body systems are very peculiar in physics in that they can typically be solved via Bethe ansatz or bosonization. In the first part of this talk, I will discuss the nonequilibrium scale-invariant dynamics of one-dimensional Bose gases with infinitely interaction strength, known as the hard-core bosons (HCB) or Tonks-Girardeau (TG) gases. For TG gases released from a harmonic trap, it is known that its momentum distributions at late times approaches that of non-interacting fermions, a phenomenon known as dynamical fermization (DF). I will discuss the recent understanding toward DF from the quantum information and control theoretic point of view. It is found that the fidelity between TG gases and non-interacting fermions remains constant and hence the DF may be an artifact. Furthermore, I will show that DF can be controlled or even reversed. In the second part, I will discuss how the scale-invariant dynamics can emerge in one-dimension when the Hamiltonian itself lacks scale invariance. I will show there exists a zoo of unexplored one-dimensional many-body Hamiltonians that support the scale-invariant dynamics satisfying the Jastrow form. The results find applications in counterdiabatic driving for many-particle systems, which steers the ground state evolution of a many-body Hamiltonian. I will conclude the talk by discussing several open questions.
主讲人简介
杨晶博士目前为卢森堡大学博士后研究员，2021年在美国罗切斯特大学获得博士学位。近期研究兴趣集中在量子精密测量与传感、量子动力学控制、一维可积系统与超冷原子、量子开放系统等，发表SCI论文20余篇,包括Physical Review Letters, Optica, Quantum等。
