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 generalized Gibbs ensemble involves a number of temperature-like parameters, the determination of which is practically difficult. Here we argue that in a number of simple models these parameters can be effectively determined by using fluctuation-dissipation relationships between response and correlation functions of natural observables, quantities which are accessible in experiments. ArXIV
Measuring effective temperatures in a generalized Gibbs ensemble / Foini, Laura; Gambassi, Andrea; Konik, Robert; Cugliandolo, Leticia F.. - In: PHYSICAL REVIEW. E. - ISSN 2470-0053. - 95:5(2017), pp. 1-8. [10.1103/PhysRevE.95.052116]
Measuring effective temperatures in a generalized Gibbs ensemble
Gambassi, Andrea;
2017-01-01
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 a parameter. If the system is instead integrable, additional quantities conserved by the dynamics intervene in the description of the stationary state. The resulting generalized Gibbs ensemble involves a number of temperature-like parameters, the determination of which is practically difficult. Here we argue that in a number of simple models these parameters can be effectively determined by using fluctuation-dissipation relationships between response and correlation functions of natural observables, quantities which are accessible in experiments. ArXIVFile | Dimensione | Formato | |
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