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Updated: May 22, 2026

High-resolution Thermal Micro-imaging Using Europium Chelate Luminescent Coatings
09:01

High-resolution Thermal Micro-imaging Using Europium Chelate Luminescent Coatings

Published on: April 16, 2017

Alternatives to eigenstate thermalization.

Marcos Rigol1, Mark Srednicki

  • 1Department of Physics, Georgetown University, Washington, DC 20057, USA.

Physical Review Letters
|May 1, 2012
PubMed
Summary
This summary is machine-generated.

The eigenstate thermalization hypothesis (ETH) explains thermal equilibrium in quantum systems. This study explores alternatives, finding ETH is necessary for thermalization even after quantum quenches in integrable systems.

Related Experiment Videos

Last Updated: May 22, 2026

High-resolution Thermal Micro-imaging Using Europium Chelate Luminescent Coatings
09:01

High-resolution Thermal Micro-imaging Using Europium Chelate Luminescent Coatings

Published on: April 16, 2017

Area of Science:

  • Quantum mechanics
  • Statistical mechanics
  • Condensed matter physics

Background:

  • Isolated quantum many-body systems in pure states typically reach thermal equilibrium if they satisfy the eigenstate thermalization hypothesis (ETH).
  • Understanding the conditions for thermalization is crucial for comprehending the behavior of quantum systems.

Purpose of the Study:

  • To investigate alternatives to the eigenstate thermalization hypothesis (ETH).
  • To determine if systems not obeying ETH can exhibit thermal behavior after a sudden quantum quench.
  • To analyze the conditions under which thermalization occurs in quantum systems.

Main Methods:

  • Analysis of von Neumann's quantum ergodic theorem.
  • Investigation of special classes of pure states in integrable systems following a sudden quench.
  • Comparison of pre-quench state properties with post-quench thermal behavior.

Main Results:

  • Von Neumann's quantum ergodic theorem relies on an assumption equivalent to ETH.
  • Integrable systems can exhibit thermal behavior after a sudden quench, but only for specific initial states.
  • These special initial states must have satisfied ETH prior to the quench.

Conclusions:

  • ETH appears to be a fundamental requirement for thermalization in isolated quantum many-body systems.
  • The findings challenge some proposed alternatives to ETH and refine our understanding of quantum thermalization.
  • Further research is needed to fully characterize the conditions for thermalization in non-ETH systems.