Related papers: Measurement-induced phase transitions for free fermions in a quasiperiodic potential

Measurement-induced phase transitions for free fermions in a quasiperiodic potential

URL: http://arxiv.org/abs/2503.23807v1
Date: Mon, 31 Mar 2025 07:42:24 GMT
Title: Measurement-induced phase transitions for free fermions in a quasiperiodic potential
Authors: Toranosuke Matsubara, Kazuki Yamamoto, Akihisa Koga,
Abstract summary: We study the dynamics under continuous measurements for free fermions in a quasiperiodic potential.<n>We show that robust logarithmic system-size scaling emerges up to a critical potential strength $V_c/J sim 2.3$.<n>Our results can be tested in ultracold atoms by introducing quasiperiodic potentials and continuously monitoring the local occupation number.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We study the dynamics under continuous measurements for free fermions in a quasiperiodic potential by using the Aubry-Andr\'{e}-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.

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