Non-unitary dynamics of Sachdev-Ye-Kitaev chain
We construct a series of one-dimensional non-unitary dynamics consisting of both unitary and imaginary evolutions based on the Sachdev-Ye-Kitaev model. Starting from a short-range entangled state, we analyze the entanglement dynamics using the path integral formalism in the large $N$ limit. Among...
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2021-02-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.10.2.048 |
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doaj-15e2f87b02954de8b60adbf27e75dfde2021-04-19T12:47:21ZengSciPostSciPost Physics2542-46532021-02-0110204810.21468/SciPostPhys.10.2.048Non-unitary dynamics of Sachdev-Ye-Kitaev chainChunxiao Liu, Pengfei Zhang, Xiao ChenWe construct a series of one-dimensional non-unitary dynamics consisting of both unitary and imaginary evolutions based on the Sachdev-Ye-Kitaev model. Starting from a short-range entangled state, we analyze the entanglement dynamics using the path integral formalism in the large $N$ limit. Among all the results that we obtain, two of them are particularly interesting: (1) By varying the strength of the imaginary evolution, the interacting model exhibits a first order phase transition from the highly entangled volume law phase to an area law phase; (2) The one-dimensional free fermion model displays an extensive critical regime with emergent two-dimensional conformal symmetry.https://scipost.org/SciPostPhys.10.2.048 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Chunxiao Liu, Pengfei Zhang, Xiao Chen |
| spellingShingle |
Chunxiao Liu, Pengfei Zhang, Xiao Chen Non-unitary dynamics of Sachdev-Ye-Kitaev chain SciPost Physics |
| author_facet |
Chunxiao Liu, Pengfei Zhang, Xiao Chen |
| author_sort |
Chunxiao Liu, Pengfei Zhang, Xiao Chen |
| title |
Non-unitary dynamics of Sachdev-Ye-Kitaev chain |
| title_short |
Non-unitary dynamics of Sachdev-Ye-Kitaev chain |
| title_full |
Non-unitary dynamics of Sachdev-Ye-Kitaev chain |
| title_fullStr |
Non-unitary dynamics of Sachdev-Ye-Kitaev chain |
| title_full_unstemmed |
Non-unitary dynamics of Sachdev-Ye-Kitaev chain |
| title_sort |
non-unitary dynamics of sachdev-ye-kitaev chain |
| publisher |
SciPost |
| series |
SciPost Physics |
| issn |
2542-4653 |
| publishDate |
2021-02-01 |
| description |
We construct a series of one-dimensional non-unitary dynamics consisting of
both unitary and imaginary evolutions based on the Sachdev-Ye-Kitaev model.
Starting from a short-range entangled state, we analyze the entanglement
dynamics using the path integral formalism in the large $N$ limit. Among all
the results that we obtain, two of them are particularly interesting: (1) By
varying the strength of the imaginary evolution, the interacting model exhibits
a first order phase transition from the highly entangled volume law phase to an
area law phase; (2) The one-dimensional free fermion model displays an
extensive critical regime with emergent two-dimensional conformal symmetry. |
| url |
https://scipost.org/SciPostPhys.10.2.048 |
| work_keys_str_mv |
AT chunxiaoliupengfeizhangxiaochen nonunitarydynamicsofsachdevyekitaevchain |
| _version_ |
1721521151051563008 |