Entanglement phases and phase transitions in monitored free fermion system due to localizations

• URL: http://arxiv.org/abs/2509.09538v2
• Date: Mon, 15 Sep 2025 08:00:12 GMT
• Title: Entanglement phases and phase transitions in monitored free fermion system due to localizations
• Authors: Yu-Jun Zhao, Xuyang Huang, Yi-Rui Zhang, Han-Ze Li, Jian-Xin Zhong,
• Abstract summary: In recent years, the presence of local potentials has significantly enriched and diversified the entanglement patterns in monitored free fermion systems.<n>This work offers a new perspective on the characterization of the entanglement phase boundary arising from the combined effects of measurement and localization.
• Score: 2.011708578491462
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In recent years, the presence of local potentials has significantly enriched and diversified the entanglement patterns in monitored free fermion systems. In our approach, we employ the stochastic Schr\"odinger equation to simulate a one-dimensional spinless fermion system under continuous measurement and local potentials. By averaging the steady-state entanglement entropy over many quantum trajectories, we investigate its dependence on measurement and localization parameters. We used a phenomenological model to interpret the numerical results, and the results show that the introduction of local potentials does not destroy the universality class of the entanglement phase transition, and that the phase boundary is jointly characterized by the measurement process and the localization mechanism. This work offers a new perspective on the characterization of the entanglement phase boundary arising from the combined effects of measurement and localization, and provides criteria for detecting this novel phase transition in cold atom systems, trapped ions, and quantum dot arrays.

Related papers

• Kondo breakdown as an entanglement transition driven by continuous measurement [0.0]
  Kondo coupling leads to the growth in entanglement of an impurity spin with it's fermionic environment, while the local field plays the role of a continuous observer.<n>The RG flows separate a low-energy Kondo-screened phase, where the impurity is absorbed into the Fermi sea and forms an entangled singlet with the conduction bath.<n>We identify the fixed-point Hamiltonians governing the two phases and the critical regime, and relate the transition to the emergence of a novel non-Fermi liquid.
  arXiv  Detail & Related papers  (2026-02-24T06:45:20Z)
• Aperiodic Dissipation as a Mechanism for Steady-State Localization [0.0]
  Incommensurate modulation plays the most efficient role in stabilizing a localized steady-state.<n>Dissipation can actively shape localization rather than simply causing decoherence.
  arXiv  Detail & Related papers  (2025-06-18T03:26:28Z)
• Unraveling-induced entanglement phase transition in diffusive trajectories of continuously monitored noninteracting fermionic systems [0.0]
  We show a transition from a phase with area-law entanglement to one where entanglement scales logarithmically with the system size.<n>Our findings may be relevant for tailoring quantum correlations in noisy quantum devices.
  arXiv  Detail & Related papers  (2024-06-07T12:08:07Z)
• Unscrambling of single-particle wave functions in systems localized through disorder and monitoring [0.0]
  We develop a process of finding a Slater determinant representation of free-fermion wave functions that accurately characterizes localized particles. Our results unlock the potential of utilizing single-particle wave functions to gain valuable insights into the localization transition properties in systems such as monitored free fermions and disordered models.
  arXiv  Detail & Related papers  (2024-03-15T23:16:44Z)
• Theory of free fermions dynamics under partial post-selected monitoring [49.1574468325115]
  We derive a partial post-selected Schrdinger"o equation based on a microscopic description of continuous weak measurement. We show that the passage to the monitored universality occurs abruptly at finite partial post-selection. Our approach establishes a way to study MiPTs for arbitrary subsets of quantum trajectories.
  arXiv  Detail & Related papers  (2023-12-21T16:53:42Z)
• Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
  Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
  arXiv  Detail & Related papers  (2023-03-13T12:45:25Z)
• Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain [62.997667081978825]
  We show that local projective measurements induce a modification of the out-of-equilibrium probability distribution function of the local magnetization. In particular we describe how the probability distribution of the former shows different behaviour in the area-law and volume-law regimes.
  arXiv  Detail & Related papers  (2022-12-19T12:34:37Z)
• Disordered monitored free fermions [0.0]
  In monitored free-fermionic models, the steady state undergoes an entanglement transition from a logarithmically entangled critical state to area-law. We show that the critical phase is stable up to a finite disorder and the criticality is consistent with the Berezinskii-Kosterlitz-Thouless universality. Our work opens the avenue to probe this novel phase transition in electronic systems of quantum dot arrays and nanowires.
  arXiv  Detail & Related papers  (2022-11-04T15:57:29Z)
• Accessing the topological Mott insulator in cold atom quantum simulators with realistic Rydberg dressing [58.720142291102135]
  We investigate a realistic scenario for the quantum simulation of such systems using cold Rydberg-dressed atoms in optical lattices. We perform a detailed analysis of the phase diagram at half- and incommensurate fillings, in the mean-field approximation. We furthermore study the stability of the phases with respect to temperature within the mean-field approximation.
  arXiv  Detail & Related papers  (2022-03-28T14:55:28Z)
• Topological transitions with continuously monitored free fermions [68.8204255655161]
  We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
  arXiv  Detail & Related papers  (2021-12-17T22:01:54Z)
• Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization [58.720142291102135]
  We propose a method for studying the time evolution of many-body quantum lattice systems under continuous and site-resolved measurement. We observe a peculiar phenomenon of measurement-induced particle clusterization that takes place only for frequent moderately strong measurements, but not for strong infrequent measurements.
  arXiv  Detail & Related papers  (2021-04-21T10:36:57Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.