Eigenstate thermalization hypothesis
By Josh Deutsch. Reports on progress in physics. Physical Society, 2018
686 citations recorded by the source corpus.
The emergence of statistical mechanics for isolated classical systems comes about through chaotic dynamics and ergodicity. Here we review how similar questions can be answered in quantum systems. The crucial point is that individual energy eigenstates behave in many ways like a statistical ensemble. A more detailed statement of this is named the eigenstate thermalization hypothesis (ETH). The reasons for why it works in so many cases are rooted in the early work of Wigner on random matrix theory and our understanding of quantum chaos. The ETH has now been studied extensively by both analytic and numerical means, and applied to a number of physical situations ranging from black hole physics to condensed matter systems. It has recently become the focus of a number of experiments in highly isolated systems. Current theoretical work also focuses on where the ETH breaks down leading to new interesting phenomena. This review of the ETH takes a somewhat intuitive approach as to why it works and how this informs our understanding of many body quantum states.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/791096ff1c99bfadcf6d0a160139485c2a70891a
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In Atomic and Molecular Physics, and Optics
- V. Khemani
- S. Gopalakrishnan
- Tomaz Prosen
- Austen Lamacraft
- L. Vidmar
- Roderich Moessner
- J. Bonvca
- Jan vSuntajs
In Statistical and Nonlinear Physics
- V. Khemani
- S. Gopalakrishnan
- Austen Lamacraft
- Tomaz Prosen
- L. Vidmar
- J. Bonvca
- Jan vSuntajs
- Anushya Chandran
Citations in the corpus
- Unitary circuits of finite depth and infinite width from quantum channels (2019, background): “” There is considerable numerical evidence that generic many-body systems obey ETH [5].”
- Ergodicity breaking transition in finite disordered spin chains (2020, background): “[6] J.”
- Quantum Many-Body Scars: A Quasiparticle Perspective (2022, background): “, the advent of analog and digital quantum simulation platforms with low levels of environmental decoherence (30, 31, 32, 33)—one important question has been the connection between microscopic quantum theory and macroscopic thermodynamics (34, 35).”
- A Universal Operator Growth Hypothesis (2018, background): “[5] Joshua M Deutsch, “Eigenstate thermalization hypothesis,” Reports on Progress in Physics 81, 082001 (2018).”