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Modern Topics in Condensed Matter Physics

Rahul Nandkishore

This course will begin by discussing superconductivity - a central example of a macroscopic phenomenon. It will then proceed to discuss various modern topics in quantum condensed matter physics, including fractionalization, anyon statistics, topology, and non-equilibrium phases. The course aims to provide learners with an appreciation for some modern topics in condensed matter physics.

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What's inside

Syllabus

Superconductivity
In this module we introduce superconductivity and a phenomenological (non-microscopic) theory to describe it.
From BCS Theory of Superconductivity to Fractionalization
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In this module we introduce a highly microscopic theory of superconductivity known as the BCS theory. We identify a curious consequence of this theory - the phenomenon of spin-charge separation, which is a special case of fractionalization.
Topology in Condensed Matter
This module introduces the concept of topology, which plays a central role in modern condensed matter physics.
Non-Equilibrium Phases of Matter
This module introduces non-equilibrium quantum matter, a central topic in modern condensed matter physics.

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
If you want to understand the nature of modern physics, this course is a good option for you
Taught by a subject matter expert
Tailored to provide a glimpse into the world of quantum condensed matter physics
The course material is dense and requires a strong foundation in physics

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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Modern Topics in Condensed Matter Physics with these activities:
Review Pre-requisites for Superconductivity
Ensure a strong understanding of relevant concepts to enhance comprehension throughout the course.
Browse courses on Solid State Physics
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  • Revise fundamental concepts of solid-state physics, such as crystal structures and electronic band theory.
  • Review quantum mechanics, particularly concepts related to wave-particle duality and energy quantization.
Watch Introductory Videos on Superconductivity
Start by getting a high-level overview of superconductivity before diving into the specifics.
Browse courses on Superconductivity
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  • Search for and identify relevant videos on superconductivity.
  • Take notes on the key concepts and ideas presented in the videos.
Seek Mentorship from Experts in Quantum Condensed Matter Physics
Gain personalized guidance and insights from experienced professionals to enhance learning outcomes.
Browse courses on Mentorship
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  • Identify potential mentors who are experts in the field of quantum condensed matter physics.
  • Reach out to potential mentors via email, LinkedIn, or professional networking events.
  • Clearly articulate your goals and interests and how mentorship can support your learning journey.
Six other activities
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Explore Superconductivity Simulations
Visualize and reinforce understanding of superconductivity phenomena through interactive simulations.
Browse courses on Superconductivity
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  • Explore online simulations that demonstrate the behavior of superconductors in various conditions.
  • Analyze the simulations, paying attention to the key characteristics of superconductivity, such as zero electrical resistance and the Meissner effect.
Solve BCS Theory Exercises
BCS theory is a fundamental cornerstone in the study of superconductivity. Solving exercises will solidify your understanding
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  • Find practice problems related to BCS theory.
  • Attempt to solve the problems on your own.
  • Check your solutions against available resources.
Discuss Fractionalization and Anyon Statistics
Engage in collaborative discussions to deepen understanding of advanced concepts and challenge perspectives.
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  • Form study groups with peers and schedule regular discussion sessions.
  • Prepare for discussions by reading assigned materials and exploring additional resources.
  • Actively participate in discussions, sharing insights, asking questions, and challenging assumptions.
Contribute to Open-Source Projects Related to Quantum Condensed Matter Physics
Engage in collaborative projects, enhance coding skills, and gain hands-on experience in the field.
Browse courses on Open Source
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  • Identify open-source projects that align with your interests in quantum condensed matter physics.
  • Review the project documentation and codebase to understand the project's goals and technical requirements.
  • Identify areas where you can contribute your skills, such as bug fixing, feature development, or documentation improvement.
  • Submit pull requests with your contributions and actively engage with the project community.
Solve Problems on Topology in Condensed Matter
Reinforce understanding of topological concepts through hands-on problem-solving.
Browse courses on Topology
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  • Collect practice problems and exercises on topology applied to condensed matter physics.
  • Attempt to solve the problems independently, referring to course materials and external resources as needed.
  • Check your solutions and identify areas for improvement.
Develop a Model for a Superconducting Device
Apply theoretical knowledge to practical applications and foster creativity.
Browse courses on Superconductivity
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  • Choose a specific type of superconducting device to model, such as a superconducting qubit or a Josephson junction.
  • Research and gather data on the properties and behavior of the chosen device.
  • Develop a mathematical model that accurately represents the device's behavior.
  • Test and refine the model using simulations or experimental data.

Career center

Learners who complete Modern Topics in Condensed Matter Physics will develop knowledge and skills that may be useful to these careers:
Postdoctoral Researcher in Condensed Matter Theory
The work of a Postdoctoral Researcher in Condensed Matter Theory involves advanced concepts in quantum mechanics and field theory. This course offers an introduction to these concepts, preparing you to engage with this field's cutting-edge research. The course's focus on modern topics like fractionalization and topology is particularly relevant to this research area, providing you with the knowledge to understand and contribute to the latest advancements.
Research Scientist in Condensed Matter Physics
As a Research Scientist in Condensed Matter Physics, you will be responsible for planning and executing research projects. This course provides a foundation in the fundamental principles of condensed matter physics and introduces you to modern research topics. The course's emphasis on superconductivity, fractionalization, and topology will equip you to contribute to groundbreaking research in these areas.
Quantum Computing Engineer
Quantum Computing Engineers are responsible for designing and building quantum computers. This course introduces the fundamental concepts of quantum mechanics and field theory, which are essential for understanding how quantum computers work. The course's focus on modern topics like fractionalization and topology gives you the knowledge to contribute to the development of next-generation quantum computing technologies.
Materials Scientist
Materials Scientists research and develop new materials with improved properties. This course provides a foundation in the principles of condensed matter physics, enabling you to understand the behavior of materials at the atomic and molecular level. The course's focus on modern topics like fractionalization and topology will equip you to design and develop novel materials with tailored properties.
Theoretical Physicist
Theoretical Physicists develop and test theories that explain the behavior of the physical world. This course provides an introduction to advanced concepts in quantum mechanics and field theory, which are essential for understanding the fundamental laws of nature. The course's focus on modern topics like fractionalization and topology will give you the tools to tackle complex problems in theoretical physics.
Computational Physicist
Computational Physicists use computers to simulate physical systems. This course provides you with the foundational knowledge of quantum mechanics and field theory, enabling you to develop and apply computational techniques to solve complex problems in physics. The course's focus on fractionalization and topology will equip you with the skills to tackle cutting-edge problems in this field.
Quantum Information Scientist
Quantum Information Scientists research and develop technologies for manipulating and processing quantum information. This course offers an introduction to the fundamental concepts of quantum mechanics and field theory, which are essential for understanding quantum information science. The course's focus on modern topics like fractionalization and topology will provide you with the knowledge to contribute to the development of novel quantum information technologies.
Data Scientist
Data Scientists analyze and interpret large datasets to extract meaningful insights. This course provides a foundation in the principles of statistical mechanics and thermodynamics, enabling you to understand the behavior of complex systems. The course's focus on modern topics like fractionalization and topology will provide you with the analytical techniques to handle complex data in various domains.
Financial Analyst
Financial Analysts use quantitative methods to analyze financial data and make investment recommendations. This course provides a foundation in the principles of statistical mechanics and thermodynamics, enabling you to understand the behavior of complex systems. The course's focus on modern topics like fractionalization and topology will equip you with the analytical techniques to analyze complex financial markets and make informed investment decisions.
Operations Research Analyst
Operations Research Analysts use mathematical models to improve the efficiency of systems. This course provides a foundation in the principles of statistical mechanics and thermodynamics, enabling you to understand the behavior of complex systems. The course's focus on modern topics like fractionalization and topology will provide you with the analytical techniques to optimize complex operations and supply chain management systems.
Risk Analyst
Risk Analysts assess and manage risks in various domains. This course provides a foundation in the principles of statistical mechanics and thermodynamics, enabling you to understand the behavior of complex systems. The course's focus on modern topics like fractionalization and topology will equip you with the analytical techniques to identify and quantify risks effectively.
Data Engineer
Data Engineers design and build systems for storing and processing data. This course provides a foundation in the principles of statistical mechanics and thermodynamics, enabling you to understand the behavior of complex systems. The course's focus on modern topics like fractionalization and topology will provide you with the technical skills to design and manage large-scale data systems
Software Engineer
Software Engineers design, develop, and maintain software systems. This course provides a foundation in the principles of statistical mechanics and thermodynamics, enabling you to understand the behavior of complex systems. The course's focus on modern topics like fractionalization and topology will provide you with the analytical and problem-solving skills to build robust and efficient software systems.
Systems Analyst
Systems Analysts design and implement new systems or improve existing ones. This course provides a foundation in the principles of statistical mechanics and thermodynamics, enabling you to understand the behavior of complex systems. The course's focus on modern topics like fractionalization and topology will provide you with the analytical skills to understand and optimize complex systems.
Business Analyst
Business Analysts use data to identify and solve business problems. This course provides a foundation in the principles of statistical mechanics and thermodynamics, enabling you to understand the behavior of complex systems. The course's focus on modern topics like fractionalization and topology will equip you with the analytical techniques to identify and solve complex business challenges.

Reading list

We've selected ten books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Modern Topics in Condensed Matter Physics.
Provides a comprehensive and detailed overview of the theory of superconductivity, making it an excellent reference for those seeking a deeper understanding of the subject.
Provides an introduction to the field theory approach to condensed matter physics, which is essential for understanding many modern topics in the field.
Provides a comprehensive overview of solid state physics, which is the foundation for understanding condensed matter physics.
Provides a comprehensive overview of phase transitions and critical phenomena, which are two of the most important topics in condensed matter physics.
Provides a comprehensive overview of quantum many-body systems, which is essential for understanding the behavior of condensed matter systems.
Provides a comprehensive overview of many-body quantum theory, which is essential for understanding the behavior of condensed matter systems.
Provides a comprehensive introduction to statistical mechanics, which is essential for understanding the behavior of condensed matter systems.
Provides a concise and accessible introduction to quantum field theory, which is the foundation for many of the concepts discussed in the course.

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