nLab quantum many-body physics

Idea

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Related concepts

• mean-field theory

• strongly correlated system

• Fock space

• second quantization

• particle statistics (bosons, fermions, anyons)

• eigenstate thermalization hypothesis

• quantum entanglement

• solid-state physics

• Laughlin wavefunction, anyon

• Bose-Einstein condensate

• tensor network

• dimer model

• AdS-CFT in condensed matter physics

References

Textbook accounts:

• Yoshio Kuramoto, Quantum Many-Body Physics – A Perspective on Strong Correlations, Springer (2020) [doi:10.1007/978-4-431-55393-9]

• Fabrizio Tafuri, Carmine Antonio Perroni, Giulio De Filippis: Lecture Notes on Quantum Many-Body Theory: A Pedagogical Introduction [arXiv:2507.09229]

In a context of quantum optics:

• Tim Byrnes, Ebubechukwu Ilo-Okeke, Section 1 of: Quantum Atom Optics: Theory and Applications to Quantum Technology, Cambridge University Press 2021 (arXiv:2007.14601, CUP)

In regards to tensor networks:

• Thorsten B. Wahl, Tensor network states for the description of quantum many-body systems (arXiv:1509.05984)