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Effect of measurements on interacting fermionic systems with particle-number conservation, whose dynamics is governed by a time-independent Hamiltonian, is studied. We develop Keldysh field-theoretical framework that provides a unified…

Quantum Physics · Physics 2025-01-13 Igor Poboiko , Paul Pöpperl , Igor V. Gornyi , Alexander D. Mirlin

Measurement-induced phase transitions have largely been explored for projective or continuous measurements of Hermitian observables, assuming perfect detection without information loss. Yet such transitions also arise in more general…

Quantum Physics · Physics 2025-12-19 Felix Kloiber-Tollinger , Lukas M. Sieberer

A wave function exposed to measurements undergoes pure state dynamics, with deterministic unitary and probabilistic measurement induced state updates, defining a quantum trajectory. For many-particle systems, the competition of these…

Statistical Mechanics · Physics 2021-11-02 M. Buchhold , Y. Minoguchi , A. Altland , S. Diehl

Monitored quantum systems undergo Measurement-induced Phase Transitions (MiPTs) stemming from the interplay between measurements and unitary dynamics. When the detector readout is post-selected to match a given value, the dynamics is…

Quantum Physics · Physics 2023-12-22 Chun Y. Leung , Dganit Meidan , Alessandro Romito

We show that the entanglement entropy (EE) of one-dimensional (1d) non-interacting fermions with $U(1)$ symmetry in the presence of a disordered or quasi-periodic potential in which the occupation number is being monitored by homodyne or…

Quantum Physics · Physics 2026-05-20 Can Yin , Fan Bo , Antonio M. García-García

At a generic volume- to area-law entanglement transition in a many-body system, quantum chaos is arrested. We argue that this tends to imply the vanishing of a certain "mass" term in the field theory of the measurement-induced phase…

Statistical Mechanics · Physics 2025-10-29 Matthew S. Foster , Haoyu Guo , Chao-Ming Jian , Andreas W. W. Ludwig

Monitored quantum circuits (MRCs) exhibit a measurement-induced phase transition between area-law and volume-law entanglement scaling. MRCs with a conserved charge additionally exhibit two distinct volume-law entangled phases that cannot be…

The description of the entanglement dynamics of monitored noninteracting fermions, including the existence of measurement-induced phase transitions (MIPTs), is a challenging problem with conflicting results in the literature. The mapping of…

Quantum Physics · Physics 2026-04-06 Bo Fan , Can Yin , Antonio M. García-García

Measurement-induced phase transitions are nonequilibrium transitions between phases characterized by distinct entanglement scaling behaviors, driven by the competition between unitary dynamics and measurements. Despite recent numerical…

Statistical Mechanics · Physics 2026-05-08 Yunxiang Liao , Max Matheussen , Xinghai Zhang

The competition between scrambling and projective measurements can lead to measurement-induced entanglement phase transitions (MIPT). In this work, we show that the universality class of the MIPT is drastically altered when the system is…

Quantum Physics · Physics 2024-10-04 Hyunsoo Ha , Akshat Pandey , Sarang Gopalakrishnan , David A. Huse

In this work we derive the replica field theory for monitored quantum many-body systems evolving under the quantum jumps protocol, corresponding to a non-Hermitian evolution interspersed with random quantum jumps whose distribution is…

Quantum Physics · Physics 2025-12-01 Youenn Le Gal , Marco Schirò

Monitored quantum system have sparked great interest in recent years due to the possibility of observing measurement-induced phase transitions (MIPTs) in the full-counting statistics of the quantum trajectories associated with different…

Quantum Physics · Physics 2025-04-28 Alessandro Santini , Luca Lumia , Mario Collura , Guido Giachetti

In this work we investigate the conditions for quantum back action to result in a phase transition in the information dynamics of a monitored system. We introduce a framework that captures a wide range of experiments encompassing probes…

Quantum Physics · Physics 2025-01-20 Shane P. Kelly , Jamir Marino

The competition between quantum many-particle dynamics and continuous monitoring can lead to measurement-induced phase transitions (MIPTs). So far, MIPTs have been extensively explored in fermionic or spin systems. To examine the…

Quantum Physics · Physics 2025-06-17 Kazuki Yokomizo , Yuto Ashida

Measurement-induced phase transitions (MIPTs) are known to be described by non-unitary conformal field theories (CFTs) whose precise nature remains unknown. Most physical quantities of interest, such as the entanglement features of quantum…

Disordered Systems and Neural Networks · Physics 2024-01-08 Abhishek Kumar , Kemal Aziz , Ahana Chakraborty , Andreas W. W. Ludwig , Sarang Gopalakrishnan , J. H. Pixley , Romain Vasseur

The interplay of unitary evolution and projective measurements is a modern interest in the study of many-body entanglement. On the one hand, the competition between these two processes leads to the recently discovered measurement-induced…

Quantum Physics · Physics 2025-02-05 Cole Kelson-Packer , Akimasa Miyake

"Forgetful" measurements-physically similar to dephasing-are of interest both for applications to fault-tolerant quantum computing and fundamentally, in studying how entanglement and entropy spread. This paper investigates…

Quantum Physics · Physics 2025-12-01 Yucheng He , Todd A. Brun

Repeated local measurements of quantum many body systems can induce a phase transition in their entanglement structure. These measurement-induced phase transitions (MIPTs) have been studied for various types of dynamics, yet most cases…

Disordered Systems and Neural Networks · Physics 2022-02-14 Aidan Zabalo , Michael J. Gullans , Justin H. Wilson , Romain Vasseur , Andreas W. W. Ludwig , Sarang Gopalakrishnan , David A. Huse , J. H. Pixley

We consider a model of monitored quantum dynamics with quenched spatial randomness: specifically, random quantum circuits with spatially varying measurement rates. These circuits undergo a measurement-induced phase transition (MIPT) in…

Disordered Systems and Neural Networks · Physics 2023-11-10 Aidan Zabalo , Justin H. Wilson , Michael J. Gullans , Romain Vasseur , Sarang Gopalakrishnan , David A. Huse , J. H. Pixley

Measurement-induced entanglement phase transitions (MIET) highlight how local measurements drive quantum systems between area-law and volume-law entangled states. This review surveys MIET in free fermion models, focusing on how unitary…

Quantum Physics · Physics 2025-07-10 Han-Ze Li , Jian-Xin Zhong , Xue-Jia Yu
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