• Collective Dynamics and Quantum Transport

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    The unit of Collective Dynamics and Quantum Transport reveals dynamical and transport phenomena in various forms of quantum matter, from quantum and t...

  • Shu Zhang

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    Assistant Professor (Transitional) of the Collective Dynamics and Quantum Transport Unit. Shu’s research reveals dynamical and transport phenomena i...

  • Functional Analysis

    Functional analysis is a fundamental branch of mathematics that extends the concepts of linear algebra and analysis to infinite-dimensional spaces. It...

  • Nonlinear Time Series Analysis and Manifold Learning Laboratory

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    The goal of this course is to select a group project and take it to completion among the students of the class. The course will encompass a complete ...

  • An introduction to Quantum Mechanics, Quantum Optics and Quantum Science

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    This course will introduce key introductory concepts in quantum mechanics, quantum optics and quantum science. It is designed to provide a foundation ...

  • Introduction to the Calculus of Variations

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    The calculus of variations originated from classical investigations into fundamental problems of maximizing enclosed areas, minimizing travel times, d...

  • Brain Computation

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    Learn how supervised, unsupervised, and reinforcement learning, as well as evolutionary computations can help us understand how the brain functions bo...

  • Introduction to Scientific Computing

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    The course starts with basic programming using Python, with some notes on other computing frameworks. Students then get acquainted with data manipulat...

  • Introduction to Complexity Science

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    Complex systems are ubiquitous and play key roles in physical nature, biological life, and social dynamics. We will address the following questions: W...

  • Dynamical Systems

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    An introduction to chaos theory and related topics in nonlinear dynamics, including the detection and quantification of chaos in experimental data, fr...