Relaxation in a completely integrable many-body quantum system: an ab initio study of the dynamics of the highly excited states of 1D lattice hard-core bosons.
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Cites background from "Relaxation in a completely integrab..."
...[3] as appropriate for formulating st atistical mechanics of isolated integrable systems....
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...Very recently, however, meaningful experimental studies of the problem ha ve finally become possible [1, 2], stimulating theoretical interest as well [3, 4, 5, 6, 7]....
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...[3], the generalized Gibbs ensemble was defined using a different,minimal set of independent integrals of motion, whose number was equal to the number of lattice sites N ≪ D....
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...[3] if as integrals of motion one takes all the projection ope ratorsP̂α = |Ψα〉〈Ψα|....
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Cites background or methods from "Relaxation in a completely integrab..."
...The result above leads one to conjecture that the asymptotic state is described by a Gibbs-like statistical ensemble of the type (Rigol et al., 2007) ρG = e− ∑ k λkγ † kγk Z , (22) where the Lagrange multipliers λk are fixed by requiring that nk ≡ 〈Ψ0 | γ†kγk | Ψ0〉 = Tr[ρGγ † kγk] = 〈γ † kγk〉G....
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...This object is known in the modern literature as the diagonal ensemble (Rigol, 2009; Rigol et al., 2008, 2007)....
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...…was also tested in a number of models, from Luttinger liquids (Cazalilla, 2006; Iucci and Cazalilla, 2009) and free bosonic theories (Calabrese and Cardy, 2007), to integrable hard-core boson models (Rigol et al., 2007) and Hubbard-like models (Eckstein and Kollar, 2008; Kollar and Eckstein, 2008)....
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...A recent conjecture (Rigol et al., 2007) proposed to use the GGE to describe the asymptotic state of a generic quantum integrable model....
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