Signature of Generalized Gibbs Ensemble Deviation from Equilibrium: Negative Absorption Induced by a Local Quench

Measuring effective temperatures in a generalized Gibbs ensemble.

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 a parameter. If the system is instead integrable, additional quantities conserved by the dynamics intervene in the description of the stationary state. The resulting...

Gibbs ensemble simulation of liquid-vapor equilibrium in quantum neon

Generalized Gibbs canonical ensemble: A possible physical scenario

After reviewing some fundamental results derived from the introduction of the generalized Gibbs canonical ensemble, ω (E) = exp [−ηΘ(E)] /Z (η), such as the called thermodynamic uncertainty relation 〈δβδE〉 = 1+ ( ∂S/∂E ) 〈 δE 〉 , it is described a physical scenario where such a generalized ensemble naturally appears as a consequence of a modification of the energetic interchange mechanism betwe...

Gibbs vs. Non-Gibbs in the Equilibrium Ensemble Approach to Disordered Systems

We describe the salient ideas of the equilibrium ensemble approach to disordered systems, paying due attention to the appearance of non-Gibbsian measures. A canonical scheme of approximations — constrained annealing — is described and characterised in terms of a Gibbs’ variational principle for the free energy functional. It provides a family of increasing exact lower bounds of the quenched fre...

A Large-deviation View on Dynamical Gibbs-non-gibbs Transitions

We develop a space-time large-deviation point of view on Gibbs-non-Gibbs transitions in spin systems subject to a stochastic spinflip dynamics. Using the general theory for large deviations of functionals of Markov processes outlined in a recent book by Feng and Kurtz, we show that the trajectory under the spin-flip dynamics of the empirical measure of the spins in a large block in Z satisfies ...