SciPost Physics

SciPost Phys. 14, 031 (2023) · published 13 March 2023

• doi: 10.21468/SciPostPhys.14.3.031
• pdf
• BiBTeX
• RIS
• Submissions/Reports
• 

Abstract

We study a free fermion model where two sets of non-commuting non-projective measurements stabilize area-law entanglement scaling phases of distinct topological order. We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. In the presence of unitary dynamics, the two topologically distinct phases are separated by a region with sub-volume scaling of the entanglement entropy. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy. We further show that the phase diagram is qualitatively captured by an analytically tractable non-Hermitian model obtained via post-selecting the measurement outcome. Finally we introduce a partial-post-selection continuous mapping, that uniquely associates topological indices of the non-Hermitian Hamiltonian to the distinct phases of the stochastic measurement-induced dynamics.

• Kuno et al., Production of lattice gauge Higgs topological states in a measurement-only quantum circuit
  Phys. Rev. B 107, 224305 (2023) [Crossref]
• Nahum et al., Renormalization group for measurement and entanglement phase transitions
  Phys. Rev. B 108, 104203 (2023) [Crossref]
• Kumar et al., Robustness of a state with Ising topological order against local projective measurements
  Phys. Rev. B 110, L161111 (2024) [Crossref]
• Kuno et al., Phase transition and evidence of fast-scrambling phase in measurement-only quantum circuits
  Phys. Rev. B 108, 094104 (2023) [Crossref]
• Zhu et al., Nishimori’s Cat: Stable Long-Range Entanglement from Finite-Depth Unitaries and Weak Measurements
  Phys. Rev. Lett. 131, 200201 (2023) [Crossref]
• Morral-Yepes et al., Detecting and stabilizing measurement-induced symmetry-protected topological phases in generalized cluster models
  Phys. Rev. B 108, 224304 (2023) [Crossref]
• Szyniszewski et al., Disordered monitored free fermions
  Phys. Rev. B 108, 165126 (2023) [Crossref]
• Feng et al., Absence of logarithmic and algebraic scaling entanglement phases due to the skin effect
  Phys. Rev. B 107, 094309 (2023) [Crossref]
• Khor et al., Measurement-induced chirality: Diffusion and disorder
  Phys. Rev. B 108, 214305 (2023) [Crossref]
• Weinstein et al., Nonlocality and entanglement in measured critical quantum Ising chains
  Phys. Rev. B 107, 245132 (2023) [Crossref]
• Poboiko et al., Measurement-Induced Phase Transition for Free Fermions above One Dimension
  Phys. Rev. Lett. 132, 110403 (2024) [Crossref]
• Szyniszewski, Unscrambling of single-particle wave functions in systems localized through disorder and monitoring
  Phys. Rev. B 110, 024303 (2024) [Crossref]
• Chahine et al., Entanglement phases, localization, and multifractality of monitored free fermions in two dimensions
  Phys. Rev. B 110, 054313 (2024) [Crossref]
• Doggen et al., Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors
  Phys. Rev. B 109, 224203 (2024) [Crossref]
• Zhou, Entanglement Phase Transitions in Non-Hermitian Kitaev Chains
  Entropy 26, 272 (2024) [Crossref]
• Turkeshi et al., Density and current statistics in boundary-driven monitored fermionic chains
  Phys. Rev. B 109, 144306 (2024) [Crossref]
• Poboiko et al., Theory of Free Fermions under Random Projective Measurements
  Phys. Rev. X 13, 041046 (2023) [Crossref]
• Su et al., Dynamics and phases of nonunitary Floquet transverse-field Ising model
  Phys. Rev. Research 6, 013131 (2024) [Crossref]
• Hannukainen et al., Interacting local topological markers: A one-particle density matrix approach for characterizing the topology of interacting and disordered states
  Phys. Rev. Research 6, L032045 (2024) [Crossref]
• Le Gal et al., Volume-to-area law entanglement transition in a non-Hermitian free fermionic chain
  SciPost Phys. 14, 138 (2023) [Crossref]
• Kavanagh et al., Topological fingerprints in Liouvillian gaps
  Phys. Rev. E 110, 054102 (2024) [Crossref]
• Lami et al., Continuously monitored quantum systems beyond Lindblad dynamics
  New J. Phys. 26, 023041 (2024) [Crossref]
• Lumia et al., Measurement-induced transitions beyond Gaussianity: A single particle description
  Phys. Rev. Research 6, 023176 (2024) [Crossref]
• Fava et al., Nonlinear Sigma Models for Monitored Dynamics of Free Fermions
  Phys. Rev. X 13, 041045 (2023) [Crossref]
• Piccitto et al., The impact of different unravelings in a monitored system of free fermions
  Eur. Phys. J. B 97, 90 (2024) [Crossref]
• Pöpperl et al., Localization, fractality, and ergodicity in a monitored qubit
  Phys. Rev. Research 6, 013313 (2024) [Crossref]
• Shea et al., Action formalism for geometric phases from self-closing quantum trajectories
  J. Phys. A: Math. Theor. 57, 315303 (2024) [Crossref]
• Cecile et al., Measurement-induced phase transitions by matrix product states scaling
  Phys. Rev. Research 6, 033220 (2024) [Crossref]
• Kawabata et al., Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
  Phys. Rev. X 13, 021007 (2023) [Crossref]
• Wang et al., Absence of measurement-induced entanglement transition due to feedback-induced skin effect
  Phys. Rev. B 110, 035113 (2024) [Crossref]
• Shkolnik et al., Measurement induced criticality in quasiperiodic modulated random hybrid circuits
  Phys. Rev. B 108, 184204 (2023) [Crossref]
• Sankar et al., Detector-tuned overlap catastrophe in quantum dots
  Phys. Rev. B 110, 085133 (2024) [Crossref]
• Le Gal et al., Entanglement Dynamics in Monitored Systems and the Role of Quantum Jumps
  PRX Quantum 5, 030329 (2024) [Crossref]
• Ashida et al., System-environment entanglement phase transitions
  Phys. Rev. B 110, 094404 (2024) [Crossref]
• Malakar et al., Measurement-induced entanglement transition in chaotic quantum Ising chain
  Phys. Rev. B 110, 134316 (2024) [Crossref]
• Morral-Yepes et al., Entanglement Transitions in Unitary Circuit Games
  PRX Quantum 5, 010309 (2024) [Crossref]
• Piccitto et al., Entanglement dynamics with string measurement operators
  SciPost Phys. Core 6, 078 (2023) [Crossref]
• Aziz et al., Critical properties of weak measurement induced phase transitions in random quantum circuits
  Phys. Rev. B 110, 064301 (2024) [Crossref]
• Carisch et al., Quantifying measurement-induced quantum-to-classical crossover using an open-system entanglement measure
  Phys. Rev. Research 5, L042031 (2023) [Crossref]