Flow equations for disordered Floquet systems
In this work, we present a new approach to disordered, periodically driven (Floquet) quantum many-body systems based on flow equations. Specifically, we introduce a continuous unitary flow of Floquet operators in an extended Hilbert space, whose fixed point is both diagonal and time-independent,...
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| Format: | Article |
| Language: | English |
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SciPost
2021-08-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.11.2.028 |
| _version_ | 1819084987749629952 |
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| author | Steven J. Thomson, Duarte Magano, Marco Schiró |
| author_facet | Steven J. Thomson, Duarte Magano, Marco Schiró |
| author_sort | Steven J. Thomson, Duarte Magano, Marco Schiró |
| collection | DOAJ |
| description | In this work, we present a new approach to disordered, periodically driven
(Floquet) quantum many-body systems based on flow equations. Specifically, we
introduce a continuous unitary flow of Floquet operators in an extended Hilbert
space, whose fixed point is both diagonal and time-independent, allowing us to
directly obtain the Floquet modes. We first apply this method to a periodically
driven Anderson insulator, for which it is exact, and then extend it to driven
many-body localized systems within a truncated flow equation ansatz. In
particular we compute the emergent Floquet local integrals of motion that
characterise a periodically driven many-body localized phase. We demonstrate
that the method remains well-controlled in the weakly-interacting regime, and
allows us to access larger system sizes than accessible by numerically exact
methods, paving the way for studies of two-dimensional driven many-body
systems. |
| first_indexed | 2024-12-21T20:57:12Z |
| format | Article |
| id | doaj.art-9415936d73a440f6a58b73e6a4225f90 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-21T20:57:12Z |
| publishDate | 2021-08-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-9415936d73a440f6a58b73e6a4225f902022-12-21T18:50:33ZengSciPostSciPost Physics2542-46532021-08-0111202810.21468/SciPostPhys.11.2.028Flow equations for disordered Floquet systemsSteven J. Thomson, Duarte Magano, Marco SchiróIn this work, we present a new approach to disordered, periodically driven (Floquet) quantum many-body systems based on flow equations. Specifically, we introduce a continuous unitary flow of Floquet operators in an extended Hilbert space, whose fixed point is both diagonal and time-independent, allowing us to directly obtain the Floquet modes. We first apply this method to a periodically driven Anderson insulator, for which it is exact, and then extend it to driven many-body localized systems within a truncated flow equation ansatz. In particular we compute the emergent Floquet local integrals of motion that characterise a periodically driven many-body localized phase. We demonstrate that the method remains well-controlled in the weakly-interacting regime, and allows us to access larger system sizes than accessible by numerically exact methods, paving the way for studies of two-dimensional driven many-body systems.https://scipost.org/SciPostPhys.11.2.028 |
| spellingShingle | Steven J. Thomson, Duarte Magano, Marco Schiró Flow equations for disordered Floquet systems SciPost Physics |
| title | Flow equations for disordered Floquet systems |
| title_full | Flow equations for disordered Floquet systems |
| title_fullStr | Flow equations for disordered Floquet systems |
| title_full_unstemmed | Flow equations for disordered Floquet systems |
| title_short | Flow equations for disordered Floquet systems |
| title_sort | flow equations for disordered floquet systems |
| url | https://scipost.org/SciPostPhys.11.2.028 |
| work_keys_str_mv | AT stevenjthomsonduartemaganomarcoschiro flowequationsfordisorderedfloquetsystems |