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  Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging Different Concepts of Nonequilibrium Criticality

Zunkovic, B., Heyl, M., Knap, M., & Silva, A. (2018). Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging Different Concepts of Nonequilibrium Criticality. Physical Review Letters, 120(13): 130601. doi:10.1103/PhysRevLett.120.130601.

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 Creators:
Zunkovic, Bojan1, Author
Heyl, Markus2, Author           
Knap, Michael1, Author
Silva, Alessandro1, Author
Affiliations:
1external, ou_persistent22              
2Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

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 MPIPKS: Time dependent processes
 Abstract: We theoretically study the dynamics of a transverse-field Ising chain with power-law decaying interactions characterized by an exponent alpha, which can be experimentally realized in ion traps. We focus on two classes of emergent dynamical critical phenomena following a quantum quench from a ferromagnetic initial state: The first one manifests in the time-averaged order parameter, which vanishes at a critical transverse field. We argue that such a transition occurs only for long-range interactions alpha <= 2. The second class corresponds to the emergence of time-periodic singularities in the return probability to the ground-state manifold which is obtained for all values of alpha and agrees with the order parameter transition for alpha <= 2. We characterize how the two classes of nonequilibrium criticality correspond to each other and give a physical interpretation based on the symmetry of the time-evolved quantum states.

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Language(s): eng - English
 Dates: 2018-03-272018-03-30
 Publication Status: Issued
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Title: Physical Review Letters
  Abbreviation : Phys. Rev. Lett.
Source Genre: Journal
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Publ. Info: Woodbury, N.Y. : American Physical Society
Pages: - Volume / Issue: 120 (13) Sequence Number: 130601 Start / End Page: - Identifier: ISSN: 0031-9007
CoNE: https://pure.mpg.de/cone/journals/resource/954925433406_1