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Related papers: Measurement-Induced Spectral Transition

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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

We investigate the diagonal entropy for ground states of the extended Kitaev chains with extensive pairing and hopping terms. The systems contain rich topological phases equivalently represented by topological invariant winding numbers and…

Quantum Physics · Physics 2019-12-02 Hong Qiao , Zheng-Hang Sun , Feng-Xiao Sun , Liang-Zhu Mu , Qiongyi He , Heng Fan

The intensely studied measurement-induced entanglement phase transition has become a hallmark of non-unitary quantum many-body dynamics. Usually, such a transition only shows up at the level of each individual quantum trajectory, and is…

Statistical Mechanics · Physics 2023-07-26 Vikram Ravindranath , Yiqiu Han , Zhi-Cheng Yang , Xiao Chen

We study quantum phase transitions involving fractional quantum Hall states, using numerical calculations of entanglements and related quantities. We tune finite-size wavefunctions on spherical geometries, by varying the interaction…

Mesoscale and Nanoscale Physics · Physics 2009-06-10 Oleksandr Zozulya , Masudul Haque , Nicolas Regnault

Measurement-induced entanglement phase transitions, caused by the competition between entangling unitary dynamics and disentangling projective measurements, have been studied in various random circuit models in recent years. In this paper,…

Quantum Physics · Physics 2022-02-02 Xuyang Yu , Xiao-Liang Qi

Lattice gauge theories (LGTs) form an intriguing class of theories highly relevant to both high-energy particle physics and low-energy condensed matter physics with the rapid development of engineered quantum devices providing new tools to…

High Energy Physics - Lattice · Physics 2022-06-22 Rasmus Berg Jensen , Simon Panyella Pedersen , Nikolaj Thomas Zinner

The development and spread of entanglement in complex quantum systems is central to exploring many-body phenomena out of equilibrium. Measuring entanglement dynamics can shed light on information scrambling and thermalisation, namely on…

We consider self-adjoint unbounded Jacobi matrices with diagonal q_n=n and weights \lambda_n=c_n n, where c_n is a 2-periodical sequence of real numbers. The parameter space is decomposed into several separate regions, where the spectrum is…

Spectral Theory · Mathematics 2010-03-19 Sergey Simonov

We introduce and explore a one-dimensional "hybrid" quantum circuit model consisting of both unitary gates and projective measurements. While the unitary gates are drawn from a random distribution and act uniformly in the circuit, the…

Quantum Physics · Physics 2018-11-21 Yaodong Li , Xiao Chen , Matthew P. A. Fisher

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

Uncertainty principle plays a crucial role in quantum mechanics, because it captures the essence of the inevitable randomness associated with the outcomes of two incompatible quantum measurements. Information entropy can perfectly describe…

Quantum Physics · Physics 2021-10-25 Xi-Hao Fang , Fei Ming , Dong Wang

In quantum field theory, entanglement entropy under spatial bipartitioning serves as a powerful information-theoretic probe of quantum correlations. In this work, we present the first comprehensive numerical study of the dynamical evolution…

High Energy Physics - Theory · Physics 2026-01-22 S. Mahesh Chandran , Karthik Rajeev

Randomized measurements constitute a simple measurement primitive that exploits the information encoded in the outcome statistics of samples of local quantum measurements defined through randomly selected bases. In this work we exploit the…

Quantum Physics · Physics 2023-06-08 Sophia Ohnemus , Heinz-Peter Breuer , Andreas Ketterer

The traditional dynamical phase transition refers to the appearance of singularities in an observable with respect to a control parameter for a late-time state or singularities in the rate function of the Loschmidt echo with respect to…

Quantum Physics · Physics 2024-08-30 Ze-Chuan Liu , Kai Li , Yong Xu

The area law-like scaling of local quantum entropies is the central characteristic of the entanglement inherent in quantum fields, many-body systems, and spacetime. Whilst the area law is primarily associated with the entanglement structure…

Quantum Physics · Physics 2024-04-19 Tobias Haas

We postulate the existence of universal crossover functions connecting the universal parts of the entanglement entropy to the low temperature thermal entropy in gapless quantum many-body systems. These scaling functions encode the intuition…

Strongly Correlated Electrons · Physics 2013-05-30 Brian Swingle , T. Senthil

We investigate the relationship between the gap between the energy of the ground state and the first excited state and the decay of correlation functions in harmonic lattice systems. We prove that in gapped systems, the exponential decay of…

Quantum Physics · Physics 2009-11-11 M. Cramer , J. Eisert

This work is concerned with the excited state quantum phase transitions (ESQPTs) defined in Ann.Phys. 323, 1106 (2008). In many-body models that exhibit such transitions, the ground state quantum phase transition (QPT) occurs in parallel…

Statistical Mechanics · Physics 2018-01-08 Francisco Pérez-Bernal , Lea F. Santos

Monitored quantum circuits can exhibit an entanglement transition as a function of the rate of measurements, stemming from the competition between scrambling unitary dynamics and disentangling projective measurements. We study how…

Disordered Systems and Neural Networks · Physics 2022-10-11 Utkarsh Agrawal , Aidan Zabalo , Kun Chen , Justin H. Wilson , Andrew C. Potter , J. H. Pixley , Sarang Gopalakrishnan , Romain Vasseur

Entanglement phase transitions in hybrid quantum circuits describe individual quantum trajectories rather than the measurement-averaged ensemble, despite the fact that results of measurements are not conventionally used for feedback. Here,…

Quantum Physics · Physics 2023-04-24 Michael Kolodrubetz