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Journal Article

Dynamical phase diagram of quantum spin chains with long-range interactions


Halimeh,  Jad C.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Halimeh, J. C., & Zauner-Stauber, V. (2017). Dynamical phase diagram of quantum spin chains with long-range interactions. Physical Review B, 96(13): 134427. doi:10.1103/PhysRevB.96.134427.

Cite as: http://hdl.handle.net/21.11116/0000-0000-3AFC-4
Using an infinite matrix product state (iMPS) technique based on the time-dependent variational principle (TDVP), we study two major types of dynamical phase transitions (DPT) in the one-dimensional transverse-field Ising model (TFIM) with long-range power-law (alpha 1/r(alpha) with r interspin distance) interactions out of equilibrium in the thermodynamic limit-DPT-I: based on an order parameter in a (quasi-)steady state, and DPT-II: based on nonanalyticities (cusps) in the Loschmidt-echo return rate. We construct the corresponding rich dynamical phase diagram, while considering different quench initial conditions. We find a nontrivial connection between both types of DPT based on their critical lines. Moreover, and very interestingly, we detect a new DPT-II dynamical phase in a certain range of interaction exponent a, characterized by what we call anomalous cusps that are distinct from the regular cusps usually associated with DPT-II. Our results provide the characterization of experimentally accessible signatures of the dynamical phases studied in this work.