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Quantum Simulation

Degenerate observables and the many Eigenstate Thermalization Hypotheses

arXiv
Authors: Fabio Anza, Christian Gogolin, Marcus Huber

Year

2017

Paper ID

44125

Status

Preprint

Abstract Read

~2 min

Abstract Words

90

Citations

N/A

Abstract

Under unitary time evolution, expectation values of physically reasonable observables often evolve towards the predictions of equilibrium statistical mechanics. The eigenstate thermalization hypothesis (ETH) states that this is also true already for individual energy eigenstates. Here we aim at elucidating the emergence of ETH for observables that can realistically be measured due to their high degeneracy, such as local, extensive or macroscopic observables. We bisect this problem into two parts, a condition on the relative overlaps and one on the relative phases between the eigenbases of the observable and Hamiltonian.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2017 reference point for readers tracking recent quantum research.
  • Under unitary time evolution, expectation values of physically reasonable observables often evolve towards the predictions of equilibrium statistical mechanics.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1708.02881 [2] arXiv https://arxiv.org/abs/1708.02881 [3] Publisher https://arxiv.org/abs/1708.02881

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