Speaker: Prof. Natan Andrei, The State University of New Jersey
Natan Andrei，美国新泽西州立罗格斯大学教授，是量子可积系统领域的著名专家， 主要从事与可积系统相关的关联函数，动力学，磁性杂质等方向的研究，并且发表了许多优秀的科研成果。他在国际著名期刊发表文章约80篇，其中Phys. Rev. Lett. 16篇，Rev. Mod. Phys. 1篇。他的代表性工作有Kondo模型的严格解，非平衡系统的动力学等。
Lecture 1. Nov. 11, 9:00am -10:00am,
“Quench dynamics of an optical lattice - Local and global aspects (part 1) ”
Lecture 2. Nov. 25, 9:00am -10:00am,
“Quench dynamics of an optical lattice - Local and global aspects (part 2) ”
Lecture 3. Dec., TBA
“Quantum impurities in interacting environments - The luttinger liquid”
Lecture 4. Dec., TBA
“Quantum impurities in interacting environments - 1-D charge conserving superconductors”
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Meeting ID: 915 385 8749
Lecture 1-2: Quench dynamics of an optical lattice - Local and global aspects
The study of non-equilibrium dynamics of interacting many body systems is currently one of the main challenges of modern condensed matter physics, driven by the spectacular progress in the ability to create highly controllable experimental systems - trapped cold atomic gases are a prime example - that can be isolated from their environment. Many of the systems so studied are integrable.
In this talk I will describe the quench dynamics of a Bose gas released from a periodic optical trap. I will describe the time evolution of the initial state and calculate some time-evolving local correlation functions and observe the development of dynamical fermionization of the Bosons. I will then proceed to discuss the Loschmidt amplitude and quantum work - global quantities that characterize the quench dynamics.