期刊
EPL
卷 106, 期 6, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1209/0295-5075/106/67003
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资金
- MIUR [20087NX9Y7]
- SNSF through SINERGIA Project [CR-SII2 136287 1]
- EU-Japan Project LEMSUPER
- EU [280555]
- CSIR, New Delhi
- Abdus Salam ICTP, Trieste
We study the dynamical fidelity F(t) and the Loschmidt echo L(t), following a periodic driving of the transverse magnetic field of a quantum Ising chain (back and forth across the quantum critical point) by calculating the overlap between the initial ground state and the state reached after n periods tau. We show that [log F(n tau)]/L (the logarithm of the fidelity per site) reaches a steady value in the asymptotic limit n -> infinity, and we derive an exact analytical expression for this quantity. Remarkably, the steady-state value of [log F(n tau -> infinity)]/L shows memory of non-trivial phase information which is instead hidden in the case of thermodynamic quantities; this conclusion, moreover, is not restricted to 1-dimensional models. Copyright (C) EPLA, 2014
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