Generalized Gibbs Ensembles of the Classical Toda Chain
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DOI: 10.1007/s10955-019-02320-5
Abstract: The Toda chain is the prime example of a classical integrable system with strictly local conservation laws. Relying on the Dumitriu–Edelman matrix model, we obtain the generalized free energy of the Toda chain and thereby… read more here.
Keywords: ensembles classical; toda; toda chain; gibbs ensembles ... See more keywords
On generalized Gibbs ensembles with an infinite set of conserved charges
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/aa82c1
Abstract: We revisit the question of whether and how the steady states arising after non-equilibrium time evolution in integrable models (and in particular in the XXZ spin chain) can be described by the so-called Generalized Gibbs… read more here.
Keywords: ensembles infinite; generalized gibbs; infinite set; set conserved ... See more keywords
Relations between dissipated work and Rényi divergences in the generalized Gibbs ensemble
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DOI: 10.1103/physreva.97.042132
Abstract: In this work, we show that the dissipation in a many-body system under an arbitrary non-equilibrium process is related to the R\'{e}nyi divergences between two states along the forward and reversed dynamics under very general… read more here.
Keywords: work; gibbs ensemble; nyi divergences; dissipated work ... See more keywords
Measuring effective temperatures in a generalized Gibbs ensemble.
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DOI: 10.1103/physreve.95.052116
Abstract: The local physical properties of an isolated quantum statistical system in the stationary state reached long after a quench are generically described by the Gibbs ensemble, which involves only its Hamiltonian and the temperature as… read more here.
Keywords: gibbs ensemble; temperatures generalized; measuring effective; effective temperatures ... See more keywords
Generalized thermalization for integrable system under quantum quench.
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DOI: 10.1103/physreve.97.012142
Abstract: We investigate equilibration and generalized thermalization of the quantum Harmonic chain under local quantum quench. The quench action we consider is connecting two disjoint harmonic chains of different sizes and the system jumps between two… read more here.
Keywords: generalized thermalization; system; quench; generalized gibbs ... See more keywords