Ballistic conductance with and without disorder in a boundary-driven XXZ spin chain
Motivated by recent experiments on Google's sycamore NISQ platform on the spin transport resulting from a non-unitary periodic boundary drive of an XXZ chain, we study a classical variant thereof by a combination of analytical and numerical means. We find the classical model reproduces the quan...
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| Format: | Article |
| Language: | English |
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2025-01-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.18.1.015 |
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| author | Adam J. McRoberts, Roderich Moessner |
| author_facet | Adam J. McRoberts, Roderich Moessner |
| author_sort | Adam J. McRoberts, Roderich Moessner |
| collection | DOAJ |
| description | Motivated by recent experiments on Google's sycamore NISQ platform on the spin transport resulting from a non-unitary periodic boundary drive of an XXZ chain, we study a classical variant thereof by a combination of analytical and numerical means. We find the classical model reproduces the quantum results in remarkable detail, and provides an analytical handle on the nature and shape of the spin transport's three distinct regimes: ballistic (easy-plane), subdiffusive (isotropic) and insulating (easy-axis). Further, we show that this phenomenology is remarkably robust to the inclusion of bond disorder – albeit that the transient dynamics approaching the steady states differs qualitatively between the clean and disordered cases – providing an accessible instance of ballistic transport in a disordered setting. |
| format | Article |
| id | doaj-art-d22448e6fb3347308537a7dd1a679896 |
| institution | Kabale University |
| issn | 2542-4653 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj-art-d22448e6fb3347308537a7dd1a6798962025-01-14T10:56:25ZengSciPostSciPost Physics2542-46532025-01-0118101510.21468/SciPostPhys.18.1.015Ballistic conductance with and without disorder in a boundary-driven XXZ spin chainAdam J. McRoberts, Roderich MoessnerMotivated by recent experiments on Google's sycamore NISQ platform on the spin transport resulting from a non-unitary periodic boundary drive of an XXZ chain, we study a classical variant thereof by a combination of analytical and numerical means. We find the classical model reproduces the quantum results in remarkable detail, and provides an analytical handle on the nature and shape of the spin transport's three distinct regimes: ballistic (easy-plane), subdiffusive (isotropic) and insulating (easy-axis). Further, we show that this phenomenology is remarkably robust to the inclusion of bond disorder – albeit that the transient dynamics approaching the steady states differs qualitatively between the clean and disordered cases – providing an accessible instance of ballistic transport in a disordered setting.https://scipost.org/SciPostPhys.18.1.015 |
| spellingShingle | Adam J. McRoberts, Roderich Moessner Ballistic conductance with and without disorder in a boundary-driven XXZ spin chain SciPost Physics |
| title | Ballistic conductance with and without disorder in a boundary-driven XXZ spin chain |
| title_full | Ballistic conductance with and without disorder in a boundary-driven XXZ spin chain |
| title_fullStr | Ballistic conductance with and without disorder in a boundary-driven XXZ spin chain |
| title_full_unstemmed | Ballistic conductance with and without disorder in a boundary-driven XXZ spin chain |
| title_short | Ballistic conductance with and without disorder in a boundary-driven XXZ spin chain |
| title_sort | ballistic conductance with and without disorder in a boundary driven xxz spin chain |
| url | https://scipost.org/SciPostPhys.18.1.015 |
| work_keys_str_mv | AT adamjmcrobertsroderichmoessner ballisticconductancewithandwithoutdisorderinaboundarydrivenxxzspinchain |