Journal
PHYSICAL REVIEW B
Volume 96, Issue 13, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.96.134427
Keywords
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Funding
- Austrian Science Fund (FWF) [F4104 SFBViCoM, F4014 SFB FoQuS]
- Austrian Science Fund (FWF) [W1210] Funding Source: Austrian Science Fund (FWF)
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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.
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