Volume 110, Number 3, May 2015
|Number of page(s)||6|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||14 May 2015|
Thermalization in a periodically driven fully connected quantum Ising ferromagnet
1 Department of Physics, Bar-Ilan University (RA) - Ramat Gan 52900, Israel
2 SISSA - Via Bonomea 265, I-34136 Trieste, Italy
3 CNR-IOM Democritos National Simulation Center - Via Bonomea 265, I-34136 Trieste, Italy
4 International Centre for Theoretical Physics (ICTP) - P.O. Box 586, I-34014 Trieste, Italy
5 Scuola Normale Superiore - Piazza dei Cavalieri 7, I-56127 Pisa, Italy
6 Centre for Quantum Technologies, National University of Singapore - 3 Science Drive 2, 117543 Singapore
Received: 2 February 2015
Accepted: 23 April 2015
By means of a Floquet analysis, we study the quantum dynamics of a fully connected Lipkin-Ising ferromagnet in a periodically driven transverse field showing that thermalization in the steady state is intimately connected to properties of the classical Hamiltonian dynamics. When the dynamics is ergodic, the Floquet spectrum obeys a Wigner-Dyson statistics and the system satisfies the eigenstate thermalization hypothesis (ETH): Independently of the initial state, local observables relax to the thermal value, and Floquet states are delocalized in the Hilbert space. On the contrary, if the classical dynamics is regular no thermalization occurs. We further discuss the relationship between ergodicity and dynamical phase transitions, and the relevance of our results to other fully connected periodically driven models (like the Bose-Hubbard one), and possibilities of experimental realization in the case of two coupled BEC.
PACS: 75.10.Pq – Spin chain models / 05.30.Rt – Quantum phase transitions / 03.65.-w – Quantum mechanics
© EPLA, 2015
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