| Autor: |
Zauner-Stauber V; Vienna Center for Quantum Technology, University of Vienna, Boltzmanngasse 5, 1090 Wien, Austria., Halimeh JC; Physics Department and Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, D-80333 München, Germany.; Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany. |
| Jazyk: |
angličtina |
| Zdroj: |
Physical review. E [Phys Rev E] 2017 Dec; Vol. 96 (6-1), pp. 062118. Date of Electronic Publication: 2017 Dec 14. |
| DOI: |
10.1103/PhysRevE.96.062118 |
| Abstrakt: |
Using the framework of infinite matrix product states, the existence of an anomalous dynamical phase for the transverse-field Ising chain with sufficiently long-range interactions was first reported in J. C. Halimeh and V. Zauner-Stauber [Phys. Rev. B 96, 134427 (2017)10.1103/PhysRevB.96.134427], where it was shown that anomalous cusps arise in the Loschmidt-echo return rate for sufficiently small quenches within the ferromagnetic phase. In this work we further probe the nature of the anomalous phase through calculating the corresponding Fisher-zero lines in the complex time plane. We find that these Fisher-zero lines exhibit a qualitative difference in their behavior, where, unlike in the case of the regular phase, some of them terminate before intersecting the imaginary axis, indicating the existence of smooth peaks in the return rate preceding the cusps. Additionally, we discuss in detail the infinite matrix product state time-evolution method used to calculate Fisher zeros and the Loschmidt-echo return rate using the matrix product state transfer matrix. Our work sheds further light on the nature of the anomalous phase in the long-range transverse-field Ising chain, while the numerical treatment presented can be applied to more general quantum spin chains. |
| Databáze: |
MEDLINE |
| Externí odkaz: |
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