Journal
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Volume -, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2016/07/073101
Keywords
entanglement entropies; spin chains; ladders and planes; generalized Gibbs ensemble; quantum phase transitions
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Funding
- EU [280555, 600645, 618074, 641122]
- Coleman-Soref foundation
- Israeli Science Foundation [1542/14]
- UNICREDIT
- National Research Foundation, Prime Minister's Office, Singapore under its Competitive Research Programme (CRP-QSYNC Award) [NRF-CRP14-2014-02]
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In this work we study the entanglement entropy of a uniform quantum Ising chain in transverse field undergoing a periodic driving of period tau. By means of Floquet theory we show that, for any subchain, the entanglement entropy tends asymptotically to a value tau-periodic in time. We provide a semi-analytical formula for the leading term of this asymptotic regime: It is constant in time and obeys a volume law. The entropy in the asymptotic regime is always smaller than the thermal one: because of integrability the system locally relaxes to a generalized Gibbs ensemble (GGE) density matrix. The leading term of the asymptotic entanglement entropy is completely determined by this GGE density matrix. Remarkably, the asymptotic entropy shows marked features in correspondence to some non-equilibrium quantum phase transitions undergone by a Floquet state analog of the ground state.
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