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Measurement-induced phase transitions arise due to a competition between the scrambling of quantum information in a many-body system and local measurements. In this work we investigate these transitions in different classes of fast…

Quantum Physics · Physics 2022-03-29 Tomohiro Hashizume , Gregory Bentsen , Andrew J. Daley

The formation of new phases close to itinerant electron quantum critical points has been observed experimentally in many compounds. We present a unified analytical model that explains the emergence of new types of order around itinerant…

Strongly Correlated Electrons · Physics 2012-04-09 Una Karahasanovic , Frank Krüger , Andrew G. Green

Anderson localization, i.e., destructive quantum interference of multiple-scattering paths, halts transport entirely. Contrarily, time-dependent random forces expedite transport via Fermi acceleration, proposed as a mechanism for…

We investigate the phenomenon of disorder-free localisation in quantum systems with global permutation symmetry. We use permutation group theory to systematically construct permutation symmetric many-fermion Hamiltonians and interpret them…

Quantum Physics · Physics 2024-01-11 A. P. Balachandran , Anjali Kundalpady , Pramod Padmanabhan , Akash Sinha

Disorder and localization have dramatic influence on the topological properties of a quantum system. While strong disorder can close the band gap thus depriving topological materials of topological features, disorder may also induce…

Quantum Gases · Physics 2021-09-17 Teng Xiao , Dizhou Xie , Zhaoli Dong , Tao Chen , Wei Yi , Bo Yan

We study a strongly correlated fermionic model with attractive interactions in the presence of disorder in two spatial dimensions. Our model has been designed so that it can be solved using the recently discovered meron-cluster approach.…

Strongly Correlated Electrons · Physics 2007-05-23 Ji-Woo Lee , Shailesh Chandrasekharan , Harold U. Baranger

The presence of quantum noises inherent to real physical systems can strongly impact the physics in hybrid quantum circuits with local random unitaries and mid-circuit measurements. The quantum noises with a size-independent occurring…

Quantum Physics · Physics 2024-09-04 Shuo Liu , Ming-Rui Li , Shi-Xin Zhang , Shao-Kai Jian , Hong Yao

Anderson localization is a fundamental phenomenon in disordered quantum systems, where transport is suppressed by wave interference from extensive randomness. Moving beyond traditional multi-impurity scenarios, we investigate…

Disordered Systems and Neural Networks · Physics 2026-03-03 Niaz Ali Khan , Munsif Jan , Muzamil Shah , Muhammad Sajid , Muhammad Mateen , Mushtaq Ali

We use Majorana operators to study entanglement dynamics under random free fermion unitary evolution and projective measurements in one dimension. For certain choices of unitary evolution, namely those which swap neighboring Majorana…

Strongly Correlated Electrons · Physics 2023-03-01 Joseph Merritt , Lukasz Fidkowski

We study how the entanglement dynamics between two-level atoms is impacted by random fluctuations of the light cone. In our model the two-atom system is envisaged as an open system coupled with an electromagnetic field in the vacuum state.…

Quantum Physics · Physics 2017-12-20 G. Menezes , N. F. Svaiter , C. A. D. Zarro

We study quantum information scrambling, specifically the growth of Heisenberg operators, in large disordered spin chains using matrix product operator dynamics to scan across the thermalization-localization quantum phase transition. We…

Strongly Correlated Electrons · Physics 2019-10-23 Subhayan Sahu , Shenglong Xu , Brian Swingle

Quantum entanglement phase transitions have provided new insights to quantum many-body dynamics. Both disorders and measurements are found to induce similar entanglement transitions. Here, we provide a theoretical framework that unifies…

Quantum Physics · Physics 2023-09-14 Qinghong Yang , Yi Zuo , Dong E. Liu

Two powerful theoretical predictions, Anderson localization and the Imry-Ma argument, impose significant restrictions on the phases of matter that can exist in the presence of even the smallest amount of disorder in one-dimensional systems.…

Disordered Systems and Neural Networks · Physics 2016-08-29 Hitesh J. Changlani , Norm M. Tubman , Taylor L. Hughes

We study the dynamics of strongly coupled nanophotonic systems with time-variable parameters. The approximate analytic solutions are obtained for a broad class of open quantum systems including a two-level fermion emitter strongly coupled…

Anderson localization is a consequence of coherent interference of multiple scattering events in the presence of disorder, which leads to an exponential suppression of the transmission. The decay of the transmission is typically probed at a…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Hichem Eleuch , Michael Hilke , Richard MacKenzie

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

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

Recent advances in transport properties measurements of disordered materials and lattice simulations, using superconducting qubits, have rekindled interest in Anderson localization, motivating our study of highly disordered quantum…

Quantum Physics · Physics 2024-06-03 Ilia Tutunnikov , Jianshu Cao

We consider Anderson localization and the associated metal-insulator transition for non-interacting fermions in D = 1, 2 space dimensions in the presence of spatially correlated on-site random potentials. To assess the nature of the…

Disordered Systems and Neural Networks · Physics 2014-08-05 Eric C. Andrade , Mark Steudtner , Matthias Vojta

One-dimensional topological phases can host localized zero-energy modes that enable high-fidelity storage and manipulation of quantum information. Majorana fermion chains support a classic example of such a phase, having zero modes that…

Strongly Correlated Electrons · Physics 2014-10-15 Adam S. Jermyn , Roger S. K. Mong , Jason Alicea , Paul Fendley