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The interplay between unitary dynamics and quantum measurements induces diverse phenomena in open quantum systems with no counterparts in closed quantum systems at equilibrium. Here, we generally classify Kraus operators and their effective…

Statistical Mechanics · Physics 2025-11-12 Zhenyu Xiao , Kohei Kawabata

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…

Quantum Physics · Physics 2023-03-15 Graham Kells , Dganit Meidan , Alessandro Romito

Dynamical quantum systems both driven by unitary evolutions and monitored through measurements have proved to be fertile ground for exploring new dynamical quantum matters. While the entanglement structure and symmetry properties of…

Quantum Physics · Physics 2025-11-10 Haining Pan , Hassan Shapourian , Chao-Ming Jian

Quantum circuits offer a versatile platform for simulating digital quantum dynamics and uncovering novel states of non-equilibrium quantum matter. One principal example are measurement-induced phase transitions arising from non-unitary…

Quantum Physics · Physics 2025-06-10 Kai Klocke , Daniel Simm , Guo-Yi Zhu , Simon Trebst , Michael Buchhold

Quantum entanglement can be an effective diagnostic tool for probing topological phases protected by global symmetries. Recently, the notion of nontrivial topology in critical systems has been proposed and is attracting growing attention.…

Strongly Correlated Electrons · Physics 2025-08-19 Wen-Hao Zhong , Hai-Qing Lin , Xue-Jia Yu

The competition between unitary quantum dynamics and dissipative stochastic effects, as emerging from continuous-monitoring processes, can culminate in measurement-induced phase transitions. Here, a many-body system abruptly passes, when…

Statistical Mechanics · Physics 2025-02-04 Moritz Eissler , Igor Lesanovsky , Federico Carollo

Topological phase transitions track changes in topological properties of a system and occur in real materials as well as quantum engineered systems, all of which differ greatly in terms of dimensionality, symmetries, interactions, and…

Statistical Mechanics · Physics 2020-04-02 Paolo Molignini , R. Chitra , Wei Chen

We investigate entanglement phase transitions from volume-law to area-law entanglement in a quantum many-body state under continuous position measurement on the basis of the quantum trajectory approach. We find the signatures of the…

Statistical Mechanics · Physics 2021-02-15 Yohei Fuji , Yuto Ashida

We study the evolution of a quantum many-body system driven by two competing measurements, which induces a topological entanglement transition between two distinct area law phases. We employ a positive operator-valued measurement with…

Quantum Physics · Physics 2025-04-17 Ritu Nehra , Alessandro Romito , Dganit Meidan

A quantum phase transition is usually achieved by tuning physical parameters in a Hamiltonian at zero temperature. Here, we demonstrate that the ground state of a topological phase itself encodes critical properties of its transition to a…

Strongly Correlated Electrons · Physics 2014-09-10 Timothy H. Hsieh , Liang Fu

We analyze the quantum trajectory dynamics of free fermions subject to continuous monitoring. For weak monitoring, we identify a novel dynamical regime of subextensive entanglement growth, reminiscent of a critical phase with an emergent…

Statistical Mechanics · Physics 2021-07-06 Ori Alberton , Michael Buchhold , Sebastian Diehl

We show that noisy quantum dynamics exposed to weak measurements exhibit a spectral transition between gapless and gapped phases. To this end, we employ the Lyapunov spectrum obtained through singular values of a non-unitary matrix…

Quantum Physics · Physics 2025-01-10 Ken Mochizuki , Ryusuke Hamazaki

The observation of Majorana fermions as collective excitations in condensed-matter systems is an ongoing quest, and several state-of-the-art experiments have been performed in the last decade. As a potential avenue in this direction, we…

Strongly Correlated Electrons · Physics 2022-07-27 Adhip Pattanayak , Sumiran Pujari , Gopal Dixit

Thanks to recent experimental advances in simulating and detecting quantum dynamics with high precision and controllability, our understanding of the physics of monitored quantum systems has considerably deepened over the past decades. In…

Statistical Mechanics · Physics 2026-03-24 Ryusuke Hamazaki , Ken Mochizuki , Hisanori Oshima , Yohei Fuji

Topological phenomena in quantum critical systems have recently attracted growing attention, as they go beyond the traditional paradigms of condensed matter and statistical physics. However, a general framework for identifying such…

Strongly Correlated Electrons · Physics 2026-05-27 Yuxuan Guo , Sheng Yang , Xue-Jia Yu

Using bulk gapless topological superconductors in both 1d and 2d as free fermion model examples, we demonstrate the power of subsystem correlation spectrum (the spectrum of correlation matrix), or equivalently the entanglement spectrum for…

Strongly Correlated Electrons · Physics 2025-10-16 Archi Banerjee , Meng Zeng

Topological phases are characterized by their entanglement properties, which is manifest in a direct relation between entanglement spectra and edge states discovered by Li and Haldane. We propose to leverage the power of synthetic quantum…

Quantum Gases · Physics 2022-05-04 Torsten V. Zache , Christian Kokail , Bhuvanesh Sundar , Peter Zoller

Quantum circuit dynamics with local projective measurements can realize a rich spectrum of entangled states of quantum matter. Motivated by the physics of the Kitaev quantum spin liquid [1], we study quantum circuit dynamics in…

Strongly Correlated Electrons · Physics 2022-07-08 Ali Lavasani , Zhu-Xi Luo , Sagar Vijay

Scrambling unitary dynamics in a quantum system transmutes local quantum information into a non-local web of correlations which manifests itself in a complex spatio-temporal pattern of entanglement. In such a context, we show there can…

Quantum Physics · Physics 2025-06-02 Alan Sherry , Sthitadhi Roy

The intricate interplay between unitary evolution and projective measurements could induce entanglement phase transitions in the nonequilibrium dynamics of quantum many-particle systems. In this work, we uncover loss-induced entanglement…

Quantum Physics · Physics 2024-03-21 Longwen Zhou
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