2017/12/31 by Kai Ji, Boris V. Fine · 1 citation
Physics and Astronomy · #Cluster (spacecraft) #Condensed matter physics #Ergodic theory #Limit (mathematics) #Magnetic field #Observable #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Quantum #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum decoherence #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Spins #Thermodynamic limit #Thermodynamics #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physrevlett.121.050602
published as Phys. Rev. Lett. 121, 050602 (2018) · Final version; Main article: 5 pages, 4 figures; Supplement: 3 pages, 2 figures
arxiv created 2018/07/11 · openalex publication_date 2018/08/03 · arxiv updated 2018/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate numerically and analytically the heating process in ergodic clusters of interacting spins 1/2 subjected to periodic pulses of an external magnetic field. Our findings indicate that there is a threshold for the pulse strength below which the heating is suppressed. This threshold decreases with the increase of the cluster size, approaching zero in the thermodynamic limit, yet it should be observable in clusters with fairly large Hilbert spaces. We obtain the above threshold quantitatively as a condition for the breakdown of the golden rule in the second-order perturbation theory. It is caused by the phenomenon of dynamic localization.