Family-Vicsek dynamical scaling and Kardar-Parisi-Zhang-like superdiffusive growth of surface roughness in a driven one-dimensional quasiperiodic model
The investigation of the dynamical universality classes of quantum systems is an important, and rather less explored, aspect of non-equilibrium physics. In this work, considering the out-of-equilibrium dynamics of spinless fermions in a one-dimensional quasiperiodic model with and without a perio...
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2024
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| Online Access: | https://hdl.handle.net/10356/178327 |
| _version_ | 1811686024259043328 |
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| author | Aditya, Sreemayee Roy, Nilanjan |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Aditya, Sreemayee Roy, Nilanjan |
| author_sort | Aditya, Sreemayee |
| collection | NTU |
| description | The investigation of the dynamical universality classes of quantum systems is
an important, and rather less explored, aspect of non-equilibrium physics. In
this work, considering the out-of-equilibrium dynamics of spinless fermions in
a one-dimensional quasiperiodic model with and without a periodic driving, we
report the existence of the dynamical one-parameter based Family-Vicsek (FV)
scaling of the "quantum surface-roughness" associated with the particle-number
fluctuations. In absence of periodic driving, the model is interestingly shown
to host a subdiffusive critical phase separated by two subdiffusive critical
lines and a triple point from other phases. An analysis of the fate of critical
phase in the presence of (inter-phase) driving indicates that the critical
phase is quite fragile and has a tendency to get absorbed into the delocalized
or localized regime depending on the driving parameters. Furthermore, periodic
driving can conspire to show quantum Kardar-Parisi-Zhang (KPZ)-like
superdiffusive dynamical behavior, which seems to have no classical
counterpart. We further construct an effective Floquet Hamiltonian, which
qualitatively captures this feature occurring in the driven model |
| first_indexed | 2024-10-01T04:53:50Z |
| format | Journal Article |
| id | ntu-10356/178327 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:53:50Z |
| publishDate | 2024 |
| record_format | dspace |
| spelling | ntu-10356/1783272024-06-17T15:34:25Z Family-Vicsek dynamical scaling and Kardar-Parisi-Zhang-like superdiffusive growth of surface roughness in a driven one-dimensional quasiperiodic model Aditya, Sreemayee Roy, Nilanjan School of Physical and Mathematical Sciences Physics Non-equilibrium physics One parameter family The investigation of the dynamical universality classes of quantum systems is an important, and rather less explored, aspect of non-equilibrium physics. In this work, considering the out-of-equilibrium dynamics of spinless fermions in a one-dimensional quasiperiodic model with and without a periodic driving, we report the existence of the dynamical one-parameter based Family-Vicsek (FV) scaling of the "quantum surface-roughness" associated with the particle-number fluctuations. In absence of periodic driving, the model is interestingly shown to host a subdiffusive critical phase separated by two subdiffusive critical lines and a triple point from other phases. An analysis of the fate of critical phase in the presence of (inter-phase) driving indicates that the critical phase is quite fragile and has a tendency to get absorbed into the delocalized or localized regime depending on the driving parameters. Furthermore, periodic driving can conspire to show quantum Kardar-Parisi-Zhang (KPZ)-like superdiffusive dynamical behavior, which seems to have no classical counterpart. We further construct an effective Floquet Hamiltonian, which qualitatively captures this feature occurring in the driven model National Research Foundation (NRF) Published version S.A. thanks MHRD, India for financial support through a Prime Minister’s Research Fellowship (PMRF). This work has been partially supported by Singapore National Research Foundation (NRF) under NRF fellowship award NRF-NRFF12-2020-0005. 2024-06-12T01:42:54Z 2024-06-12T01:42:54Z 2024 Journal Article Aditya, S. & Roy, N. (2024). Family-Vicsek dynamical scaling and Kardar-Parisi-Zhang-like superdiffusive growth of surface roughness in a driven one-dimensional quasiperiodic model. Physical Review B, 109(3), 035164-. https://dx.doi.org/10.1103/PhysRevB.109.035164 2469-9950 https://hdl.handle.net/10356/178327 10.1103/PhysRevB.109.035164 2-s2.0-85184002606 3 109 035164 en NRF-NRFF12-2020-0005 Physical Review B © 2024 American Physical Society. All rights reserved. This article may be downloaded for personal use only. Any other use requires prior permission of the copyright holder. The Version of Record is available online at http://doi.org/10.1103/PhysRevB.109.035164 application/pdf |
| spellingShingle | Physics Non-equilibrium physics One parameter family Aditya, Sreemayee Roy, Nilanjan Family-Vicsek dynamical scaling and Kardar-Parisi-Zhang-like superdiffusive growth of surface roughness in a driven one-dimensional quasiperiodic model |
| title | Family-Vicsek dynamical scaling and Kardar-Parisi-Zhang-like superdiffusive growth of surface roughness in a driven one-dimensional quasiperiodic model |
| title_full | Family-Vicsek dynamical scaling and Kardar-Parisi-Zhang-like superdiffusive growth of surface roughness in a driven one-dimensional quasiperiodic model |
| title_fullStr | Family-Vicsek dynamical scaling and Kardar-Parisi-Zhang-like superdiffusive growth of surface roughness in a driven one-dimensional quasiperiodic model |
| title_full_unstemmed | Family-Vicsek dynamical scaling and Kardar-Parisi-Zhang-like superdiffusive growth of surface roughness in a driven one-dimensional quasiperiodic model |
| title_short | Family-Vicsek dynamical scaling and Kardar-Parisi-Zhang-like superdiffusive growth of surface roughness in a driven one-dimensional quasiperiodic model |
| title_sort | family vicsek dynamical scaling and kardar parisi zhang like superdiffusive growth of surface roughness in a driven one dimensional quasiperiodic model |
| topic | Physics Non-equilibrium physics One parameter family |
| url | https://hdl.handle.net/10356/178327 |
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