Speaker: Prof. Natan Andrei, The State University of New Jersey

　　Schedule:

　　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” 　

　　Join via Zoom

　　https://us02web.zoom.us/j/9153858749?pwd=RVNWdXh3Vk02YldFK1BlbUtVNUpCdz09

　　Meeting ID: 915 385 8749

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　　Lecture 1-2: Quench dynamics of an optical lattice - Local and global aspects

Abstract：

　　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.