Equilibration of quantum systems and subsystems
By Anthony J. Short. 2010
194 citations recorded by the source corpus.
We unify two recent results concerning equilibration in quantum theory. We first generalize a proof of Reimann (2008 Phys. Rev. Lett. 101 190403), that the expectation value of ‘realistic’ quantum observables will equilibrate under very general conditions, and discuss its implications for the equilibration of quantum systems. We then use this to re-derive an independent result of Linden et al (2009 Phys. Rev. E 79 061103), showing that small subsystems generically evolve to an approximately static equilibrium state. Finally, we consider subspaces in which all initial states effectively equilibrate to the same state.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/cc21a29329cf96d6e1af55ce1594ea9c6b8830bb
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In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
Citations in the corpus
- Quantum equilibration in finite time (2011, methodology): “(8) Adopting a similar approach to [3], equation (6) becomes 〈 |tr[ρ(t)A] − tr[ωA]|(2) 〉 T = ∑”
- Aspects of non-equilibrium in classical and quantum systems: Slow relaxation and glasses, dynamical large deviations, quantum non-ergodicity, and open quantum dynamics (2017, background): “Generic quantum many-body systems - evolving unitarily according to their Hamiltonian - are said to equilibrate, meaning that at long times their state becomes indistinguishable, from the point of view of expectation values of observables, from the time-integrated state [51, 52, 53, 54, 55]; for rev”