Dynamics of monitored SSH model in Krylov space: from complexity to quantum Fisher information
Abstract In this paper, we investigate the dynamics of a non-Hermitian Su-Schrieffer-Heeger model that arises out of the no-click limit of a monitored SSH model in the Krylov space. We find that the saturation timescale of the complexity associated with the spread of the state in the Krylov subspace...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-07-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2025)203 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849334085424513024 |
|---|---|
| author | Nilachal Chakrabarti Neha Nirbhan Arpan Bhattacharyya |
| author_facet | Nilachal Chakrabarti Neha Nirbhan Arpan Bhattacharyya |
| author_sort | Nilachal Chakrabarti |
| collection | DOAJ |
| description | Abstract In this paper, we investigate the dynamics of a non-Hermitian Su-Schrieffer-Heeger model that arises out of the no-click limit of a monitored SSH model in the Krylov space. We find that the saturation timescale of the complexity associated with the spread of the state in the Krylov subspace increases with the measurement rate, and late time behaviour differs across the PT symmetry transition point. Furthermore, extending the notion of this complexity for subsystems in Krylov space, we find that the scaling of its late time value with subsystem size shows a discontinuous jump across the PT transition point, indicating that it can be used as a suitable order parameter for such transition but not for the measurement-induced transition. Finally, we show that a generalized measure in the Krylov subspace, which contains information about the correlation landscape, such as Quantum Fisher information, which also possesses some structural similarity with the complexity functional, can be a promising probe of the measurement-induced phase. |
| format | Article |
| id | doaj-art-4152feb3aeb44dbb879fd44b5f86dcca |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-4152feb3aeb44dbb879fd44b5f86dcca2025-08-20T03:45:40ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025714010.1007/JHEP07(2025)203Dynamics of monitored SSH model in Krylov space: from complexity to quantum Fisher informationNilachal Chakrabarti0Neha Nirbhan1Arpan Bhattacharyya2Department of Physics, Indian Institute of Technology GandhinagarDepartment of Physics, Indian Institute of Technology GandhinagarDepartment of Physics, Indian Institute of Technology GandhinagarAbstract In this paper, we investigate the dynamics of a non-Hermitian Su-Schrieffer-Heeger model that arises out of the no-click limit of a monitored SSH model in the Krylov space. We find that the saturation timescale of the complexity associated with the spread of the state in the Krylov subspace increases with the measurement rate, and late time behaviour differs across the PT symmetry transition point. Furthermore, extending the notion of this complexity for subsystems in Krylov space, we find that the scaling of its late time value with subsystem size shows a discontinuous jump across the PT transition point, indicating that it can be used as a suitable order parameter for such transition but not for the measurement-induced transition. Finally, we show that a generalized measure in the Krylov subspace, which contains information about the correlation landscape, such as Quantum Fisher information, which also possesses some structural similarity with the complexity functional, can be a promising probe of the measurement-induced phase.https://doi.org/10.1007/JHEP07(2025)203Holography and Condensed Matter Physics (AdS/CMT)Quantum Dissipative SystemsStochastic Processes |
| spellingShingle | Nilachal Chakrabarti Neha Nirbhan Arpan Bhattacharyya Dynamics of monitored SSH model in Krylov space: from complexity to quantum Fisher information Journal of High Energy Physics Holography and Condensed Matter Physics (AdS/CMT) Quantum Dissipative Systems Stochastic Processes |
| title | Dynamics of monitored SSH model in Krylov space: from complexity to quantum Fisher information |
| title_full | Dynamics of monitored SSH model in Krylov space: from complexity to quantum Fisher information |
| title_fullStr | Dynamics of monitored SSH model in Krylov space: from complexity to quantum Fisher information |
| title_full_unstemmed | Dynamics of monitored SSH model in Krylov space: from complexity to quantum Fisher information |
| title_short | Dynamics of monitored SSH model in Krylov space: from complexity to quantum Fisher information |
| title_sort | dynamics of monitored ssh model in krylov space from complexity to quantum fisher information |
| topic | Holography and Condensed Matter Physics (AdS/CMT) Quantum Dissipative Systems Stochastic Processes |
| url | https://doi.org/10.1007/JHEP07(2025)203 |
| work_keys_str_mv | AT nilachalchakrabarti dynamicsofmonitoredsshmodelinkrylovspacefromcomplexitytoquantumfisherinformation AT nehanirbhan dynamicsofmonitoredsshmodelinkrylovspacefromcomplexitytoquantumfisherinformation AT arpanbhattacharyya dynamicsofmonitoredsshmodelinkrylovspacefromcomplexitytoquantumfisherinformation |