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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2404.04715 |
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| _version_ | 1866913340940353536 |
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| author | Kheiri, Sasan Cheraghi, Hadi Mahdavifar, Saeed Sedlmayr, Nicholas |
| author_facet | Kheiri, Sasan Cheraghi, Hadi Mahdavifar, Saeed Sedlmayr, Nicholas |
| contents | The bond-dependent Kitaev model offers a playground in which one can search for quantum spin liquids. In these Kitaev materials, a symmetric off-diagonal $Γ$ term emerges, hosting a number of remarkable features, which has been particularly challenging to fully understand. One primary question that arises after recognizing a new phase is how information will spread in it. Out-of-time-ordered commutators and entanglement entropy describe processes whereby information about the initial condition of a unitarily evolving system propagates over the system. A possible way to investigate dynamics in such systems is by considering one-dimensional models. We investigate here the one-dimensional spin-1/2 XY model in a transverse field with a $Γ$ interaction with periodic boundary conditions imposed. We will show that the $Γ$ interaction constructs an asymmetric "light-cone" with different butterfly velocities. In addition, it leads to faster information propagation in the spiral phase and slower propagation in the ferromagnetic and paramagnetic phases. Interestingly, we observe a pronounced effect in the entanglement entropy, explicitly showing up as a two-stage linear growth in time as fast/slow then slow/fast for quenches originating from the spiral phase. We hope our work paves the way for studying more about the spreading of information in one-dimensional Kitaev materials, which can in turn help to discover unknown aspects of higher-dimensional models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04715 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Information propagation in one-dimensional XY-$Γ$ chains Kheiri, Sasan Cheraghi, Hadi Mahdavifar, Saeed Sedlmayr, Nicholas Strongly Correlated Electrons The bond-dependent Kitaev model offers a playground in which one can search for quantum spin liquids. In these Kitaev materials, a symmetric off-diagonal $Γ$ term emerges, hosting a number of remarkable features, which has been particularly challenging to fully understand. One primary question that arises after recognizing a new phase is how information will spread in it. Out-of-time-ordered commutators and entanglement entropy describe processes whereby information about the initial condition of a unitarily evolving system propagates over the system. A possible way to investigate dynamics in such systems is by considering one-dimensional models. We investigate here the one-dimensional spin-1/2 XY model in a transverse field with a $Γ$ interaction with periodic boundary conditions imposed. We will show that the $Γ$ interaction constructs an asymmetric "light-cone" with different butterfly velocities. In addition, it leads to faster information propagation in the spiral phase and slower propagation in the ferromagnetic and paramagnetic phases. Interestingly, we observe a pronounced effect in the entanglement entropy, explicitly showing up as a two-stage linear growth in time as fast/slow then slow/fast for quenches originating from the spiral phase. We hope our work paves the way for studying more about the spreading of information in one-dimensional Kitaev materials, which can in turn help to discover unknown aspects of higher-dimensional models. |
| title | Information propagation in one-dimensional XY-$Γ$ chains |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2404.04715 |