Dynamical Phase Transitions in Periodically Driving 1D Ising Model
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916039287111680 |
|---|---|
| author | Cheng, Yuanyuan Zhang, Yuxia Qiu, Tianhui Xin, Peipei Xu, Bao-Ming |
| author_facet | Cheng, Yuanyuan Zhang, Yuxia Qiu, Tianhui Xin, Peipei Xu, Bao-Ming |
| contents | This work investigates dynamical quantum phase transitions (DQPTs) in a one-dimensional Ising model subjected to a periodically modulated transverse field. In contrast to sudden quenches, we demonstrate that a DQPT can be induced in two distinct ways. First, when the system remains within a given phase--ferromagnetic (FM) or paramagnetic (PM), a resonant periodic drive can trigger a DQPTs when its frequency matches the energy-level transition of the system. This DQPT is intimately connected to the emergence of Floquet topological phases. The timescale for the transition is governed by the perturbation strength $λ'$, the critical mode $k_c$, and its energy gap $Δ_{k_c}$, following the scaling relation $τ\proptoΔ_{k_c}λ'^{-1}\csc k_c$. Second, for drives across the critical point between the FM and PM phases, low frequencies can always induce DQPT, regardless of resonance. This behavior stems from the degeneracy of the energy-level at the critical point, which ensures that any drive with a frequency lower than the system's intrinsic transition frequency will inevitably excite the system. However, in the high-frequency regime, such excitation will be strongly suppressed, thereby inhibiting the occurrence of DQPTs. This study provides deeper insight into the nonequilibrium dynamics of quantum spin chains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_24600 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamical Phase Transitions in Periodically Driving 1D Ising Model Cheng, Yuanyuan Zhang, Yuxia Qiu, Tianhui Xin, Peipei Xu, Bao-Ming Other Condensed Matter Quantum Physics This work investigates dynamical quantum phase transitions (DQPTs) in a one-dimensional Ising model subjected to a periodically modulated transverse field. In contrast to sudden quenches, we demonstrate that a DQPT can be induced in two distinct ways. First, when the system remains within a given phase--ferromagnetic (FM) or paramagnetic (PM), a resonant periodic drive can trigger a DQPTs when its frequency matches the energy-level transition of the system. This DQPT is intimately connected to the emergence of Floquet topological phases. The timescale for the transition is governed by the perturbation strength $λ'$, the critical mode $k_c$, and its energy gap $Δ_{k_c}$, following the scaling relation $τ\proptoΔ_{k_c}λ'^{-1}\csc k_c$. Second, for drives across the critical point between the FM and PM phases, low frequencies can always induce DQPT, regardless of resonance. This behavior stems from the degeneracy of the energy-level at the critical point, which ensures that any drive with a frequency lower than the system's intrinsic transition frequency will inevitably excite the system. However, in the high-frequency regime, such excitation will be strongly suppressed, thereby inhibiting the occurrence of DQPTs. This study provides deeper insight into the nonequilibrium dynamics of quantum spin chains. |
| title | Dynamical Phase Transitions in Periodically Driving 1D Ising Model |
| topic | Other Condensed Matter Quantum Physics |
| url | https://arxiv.org/abs/2512.24600 |