Books for second quantization and condensed matter

In summary, the conversation discusses the topic of nanophysics and electron transport in arrays of qubits, and the need for a book on second quantization and condensed matter. Some suggested titles include "Many-body quantum theory in condensed matter physics" by Bruus and Flensberg, "Many particle physics" by Mahan, and "Principles of condensed matter physics" by Chaikin and Lubensky. Other suggestions mentioned are "Condensed Matter Field Theory" by Altland and Simons, "Quantum Field Theory of Nonequilibrium Systems" by Rammer, "Quantum Transport at Nanoscale" by Ryndyk, and "Field Theory of Nonequilibrium Systems" by Kamenev.
  • #1
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Hi.

I'll be doing a master's degree in nanophysics and working on electron transport in arrays of qubits.
I don't know anything (or barely) about the second quantization and would like a book which covers it, and on condensed matter overall.

So far I've been told about Bruus&Flensberg's "Many-body quantum theory in condensed matter physics", Mahan's "Many particle physics" and Chaikin&Lubensky's "Principles of condensed matter physics".

I'm open to hear any new suggestions or comments on this ones.
 
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  • #2
Mahan, not for the beginner

Chaikin and Lubensky: focuses on soft matter and the more modern aspects (topological solids etc...)

Don't know Bruus and Flensberg, so cannot make a judgement. There are others out there, look at amazon and take a look at the TOC...
 
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A. Altland, B. Simons, Condensed Matter Field Theory, Cambridge University Press 2010 (2nd edition)
J. Rammer, Quantum Field Theory of Nonequilibrium Systems, Cambridge University Press 2007
D. A. Ryndyk, Quantum Transport at Nanoscale, Springer 2016
A. Kamenev, Field Theory of Nonequilibrium Systems, Cambridge University Press 2011
 
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Thanks, you both. I'll keep the suggestions in mind.
 

1. What is second quantization and why is it important in condensed matter physics?

Second quantization is a mathematical formalism used to describe the behavior of many-particle systems in quantum mechanics. In condensed matter physics, it is used to study the collective behavior of a large number of particles, such as in solids or liquids. It allows for a more efficient and elegant description of these systems compared to traditional methods.

2. What are some recommended books for learning about second quantization and condensed matter?

Some popular books on this topic include "Introduction to Many-Body Physics" by Piers Coleman, "Quantum Theory of Solids" by Charles Kittel, and "Condensed Matter Field Theory" by Alexander Altland and Ben Simons.

3. Is prior knowledge of quantum mechanics necessary for understanding second quantization and condensed matter?

Yes, a strong foundation in quantum mechanics is essential for understanding second quantization and its applications in condensed matter. It is recommended to have a good understanding of quantum mechanics at the undergraduate level before delving into this topic.

4. Are there any specific mathematical concepts that are important to understand in second quantization and condensed matter?

Some key mathematical concepts in second quantization and condensed matter include linear algebra, group theory, and functional analysis. It is also helpful to have a good understanding of operators, commutation relations, and perturbation theory.

5. How can second quantization be applied to practical problems in condensed matter physics?

Second quantization has many practical applications in condensed matter physics, such as in the study of phase transitions, superconductivity, and magnetism. It is also used in developing theoretical models for materials and predicting their properties, as well as in understanding the behavior of complex systems like quantum fluids and plasmas.

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