Measurement-induced phase transitions for free fermions in a quasiperiodic potential
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908493814956032 |
|---|---|
| author | Matsubara, Toranosuke Yamamoto, Kazuki Koga, Akihisa |
| author_facet | Matsubara, Toranosuke Yamamoto, Kazuki Koga, Akihisa |
| contents | We study the dynamics under continuous measurements for free fermions in a quasiperiodic potential by using the Aubry-André-Harper model with hopping rate $J$ and potential strength $V$. On the basis of the quantum trajectory method, we obtain the phase diagram for the steady-state entanglement entropy and demonstrate that robust logarithmic system-size scaling emerges up to a critical potential strength $V_c/J \sim 2.3$. Moreover, we find that the measurement induces entanglement phase transitions from the logarithmic-law phase to the area-law phase for the potential strength $V< V_c$, while any finite measurement stabilizes the area-law phase for $V>V_c$. This result is distinct from the entanglement scaling in the unitary limit, where volume-law and area-law phases undergo a transition at $V/J=2$. To further support the phase diagram, we analyze the connected correlation function and find that it shows algebraic decay in the logarithmic-law phase, while it decays quickly in the area-law phase. Our results can be tested in ultracold atoms by introducing quasiperiodic potentials and continuously monitoring the local occupation number with an off-resonant probe light. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23807 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Measurement-induced phase transitions for free fermions in a quasiperiodic potential Matsubara, Toranosuke Yamamoto, Kazuki Koga, Akihisa Quantum Gases Statistical Mechanics Quantum Physics We study the dynamics under continuous measurements for free fermions in a quasiperiodic potential by using the Aubry-André-Harper model with hopping rate $J$ and potential strength $V$. On the basis of the quantum trajectory method, we obtain the phase diagram for the steady-state entanglement entropy and demonstrate that robust logarithmic system-size scaling emerges up to a critical potential strength $V_c/J \sim 2.3$. Moreover, we find that the measurement induces entanglement phase transitions from the logarithmic-law phase to the area-law phase for the potential strength $V< V_c$, while any finite measurement stabilizes the area-law phase for $V>V_c$. This result is distinct from the entanglement scaling in the unitary limit, where volume-law and area-law phases undergo a transition at $V/J=2$. To further support the phase diagram, we analyze the connected correlation function and find that it shows algebraic decay in the logarithmic-law phase, while it decays quickly in the area-law phase. Our results can be tested in ultracold atoms by introducing quasiperiodic potentials and continuously monitoring the local occupation number with an off-resonant probe light. |
| title | Measurement-induced phase transitions for free fermions in a quasiperiodic potential |
| topic | Quantum Gases Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2503.23807 |