Many-body delocalisation as symmetry breaking
We present a framework in which the transition between a many-body localised (MBL) phase and an ergodic one is symmetry breaking. We consider random Floquet spin chains, expressing their averaged spectral form factor (SFF) as a function of time in terms of a transfer matrix that acts in the space di...
| প্রধান লেখক: | , |
|---|---|
| বিন্যাস: | Journal article |
| ভাষা: | English |
| প্রকাশিত: |
American Physical Society
2021
|
| _version_ | 1826304463699181568 |
|---|---|
| author | Garratt, SJ Chalker, JT |
| author_facet | Garratt, SJ Chalker, JT |
| author_sort | Garratt, SJ |
| collection | OXFORD |
| description | We present a framework in which the transition between a many-body localised
(MBL) phase and an ergodic one is symmetry breaking. We consider random Floquet
spin chains, expressing their averaged spectral form factor (SFF) as a function
of time in terms of a transfer matrix that acts in the space direction. The SFF
is determined by the leading eigenvalues of this transfer matrix. In the MBL
phase the leading eigenvalue is unique, as in a symmetry-unbroken phase, while
in the ergodic phase and at late times the leading eigenvalues are
asymptotically degenerate, as in a system with degenerate symmetry-breaking
phases. We identify the broken symmetry of the transfer matrix, introduce a
local order parameter for the transition, and show that the associated
correlation functions are long-ranged only in the ergodic phase. |
| first_indexed | 2024-03-07T06:18:12Z |
| format | Journal article |
| id | oxford-uuid:f1cdde3e-89a8-425c-89fc-053c4f0625cb |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:18:12Z |
| publishDate | 2021 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:f1cdde3e-89a8-425c-89fc-053c4f0625cb2022-03-27T11:58:50ZMany-body delocalisation as symmetry breakingJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f1cdde3e-89a8-425c-89fc-053c4f0625cbEnglishSymplectic ElementsAmerican Physical Society2021Garratt, SJChalker, JTWe present a framework in which the transition between a many-body localised (MBL) phase and an ergodic one is symmetry breaking. We consider random Floquet spin chains, expressing their averaged spectral form factor (SFF) as a function of time in terms of a transfer matrix that acts in the space direction. The SFF is determined by the leading eigenvalues of this transfer matrix. In the MBL phase the leading eigenvalue is unique, as in a symmetry-unbroken phase, while in the ergodic phase and at late times the leading eigenvalues are asymptotically degenerate, as in a system with degenerate symmetry-breaking phases. We identify the broken symmetry of the transfer matrix, introduce a local order parameter for the transition, and show that the associated correlation functions are long-ranged only in the ergodic phase. |
| spellingShingle | Garratt, SJ Chalker, JT Many-body delocalisation as symmetry breaking |
| title | Many-body delocalisation as symmetry breaking |
| title_full | Many-body delocalisation as symmetry breaking |
| title_fullStr | Many-body delocalisation as symmetry breaking |
| title_full_unstemmed | Many-body delocalisation as symmetry breaking |
| title_short | Many-body delocalisation as symmetry breaking |
| title_sort | many body delocalisation as symmetry breaking |
| work_keys_str_mv | AT garrattsj manybodydelocalisationassymmetrybreaking AT chalkerjt manybodydelocalisationassymmetrybreaking |