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Non-equilibrium quantum dynamics after local quenches
, F. Iglói, H. Rieger
Published in IOP PUBLISHING LTD
2011
Volume: 2011
   
Issue: 10
Abstract
We study the quantum dynamics resulting from preparing a one-dimensional quantum system in the ground state of initially two decoupled parts which are then joined together (local quench). Specifically we focus on the transverse-field Ising chain and compute the time dependence of the magnetization profile, ml(t), and correlation functions at the critical point, in the ferromagnetically ordered phase and in the paramagnetic phase. At the critical point we find finite-size scaling forms for the non-equilibrium magnetization and compare predictions of conformal field theory with our numerical results. In the ferromagnetic phase the magnetization profiles are well matched by predictions from a quasi-classical calculation that we describe. © 2011 IOP Publishing Ltd and SISSA.
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Figures & Tables (14)
  • Figure-0
    Figure 1. (Color online) Space-time region z = r + ıτ with ... Expand
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    Figure 3. (Color online) Temporal evolution ... Expand
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    Figure 2. (Color online) Temporal evolution ... Expand
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    Figure 4. (Color online) Temporal evolution of the local ... Expand
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    Figure 5. (Color online) Scaling plot of the local ... Expand
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    Figure 6. (Color online) Scaling plot of the local ... Expand
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    Figure 7. (Color online) A: Spatial correlation function Ct(r1, ... Expand
  • Figure-7
    Figure 8. (Color online) A: Spatial correlation function Ct(r1, ... Expand
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About the journal
JournalJournal of Statistical Mechanics: Theory and Experiment
PublisherIOP PUBLISHING LTD
ISSN17425468
Open AccessNo