We present a general dynamic finite-size scaling theory for the quantum dynamics after an abrupt quench, at both continuous and first-order quantum transitions. For continuous transitions, the scaling laws are naturally ruled by the critical exponents and the renormalization-group dimension of the perturbation at the transition. In the case of first-order transitions, it is possible to recover a universal scaling behavior, which is controlled by the size behavior of the energy gap between the lowest-energy levels. We discuss these findings in the framework of the paradigmatic quantum Ising ring, and support the dynamic scaling laws by numerical evidence.
Dynamic finite-size scaling after a quench at quantum transitions / Pelissetto, Andrea; Rossini, Davide; Vicari, Ettore. - In: PHYSICAL REVIEW. E. - ISSN 2470-0045. - 97:5(2018), p. 052148. [10.1103/PhysRevE.97.052148]
Dynamic finite-size scaling after a quench at quantum transitions
Pelissetto, Andrea;
2018
Abstract
We present a general dynamic finite-size scaling theory for the quantum dynamics after an abrupt quench, at both continuous and first-order quantum transitions. For continuous transitions, the scaling laws are naturally ruled by the critical exponents and the renormalization-group dimension of the perturbation at the transition. In the case of first-order transitions, it is possible to recover a universal scaling behavior, which is controlled by the size behavior of the energy gap between the lowest-energy levels. We discuss these findings in the framework of the paradigmatic quantum Ising ring, and support the dynamic scaling laws by numerical evidence.File | Dimensione | Formato | |
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