Journal
PHYSICAL REVIEW LETTERS
Volume 114, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.114.060401
Keywords
-
Categories
Funding
- U.S. National Science Foundation Grant [PHY-1019197]
- Office of Naval Research Grant [N00014-09-1-0502, N00014-12-1-0400]
- Institut Francilien de Recherche sur les Atomes Froids (IFRAF)
- Laboratoire de Physique des Lasers of Paris 13 University
- Division Of Physics
- Direct For Mathematical & Physical Scien [1402249] Funding Source: National Science Foundation
Ask authors/readers for more resources
We show that for classical and quantum observables, the integrability-to-ergodicity transition leaves constant the sum of (a) the ensemble variance of the temporal average and (b) the ensemble average of temporal variance. The induced Frobenius (Hilbert-Schmidt) geometry of quantum observables encodes how eigenstate thermalization appears, the inverse participation ratio decreases, and the integrals of motion disappear during the transition. We use it to optimize the set of conserved quantities entering the generalized Gibbs ensemble for integrable, near-integrable, or mesoscopic systems.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available