nLab eigenstate thermalization hypothesis

Idea

A hypothesis about the emergence of thermodynamics in many body quantum systems.

References

• Mark Srednicki, Chaos and Quantum Thermalization, Phys Rev E 50 (1994) 888 [arXiv:cond-mat/9403051v2]

• Mohsen Alishahiha, Mohammad Javad Vasli: Eigenstate Thermalization Hypothesis: A Short Review [arXiv:2501.07243]

• Stefan Eccles: Why ETH? On thermalization and locality [arXiv:2502.04784]

See also:

• Wikipedia, Eigenstate thermalization hypothesis

• Aleksander Lasek, Jae Dong Noh, Jade LeSchack, Nicole Yunger Halpern: Numerical evidence for the non-Abelian eigenstate thermalization hypothesis, Phys. Rev. E 113 054140 (2026) [doi:10.1103/j8xb-xfln, arXiv:2412.07838]

Relation to quantum error correcting codes obtained from holographic tensor networks:

• Ning Bao, Newton Cheng, Eigenstate Thermalization Hypothesis and Approximate Quantum Error Correction, JHEP 08 (2019) 152 (arXiv:1906.03669)

Further in relation to a holographic principle:

• Taishi Kawamoto: A Strategy for Proving the Strong Eigenstate Thermalization Hypothesis: Chaotic Systems and Holography [arXiv:2411.09746]