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Quantum-chaotic systems exhibit several universal properties, ranging from level repulsion in the energy spectrum to wavefunction delocalization. On the other hand, if wavefunctions are localized, the levels exhibit no level repulsion and…

Statistical Mechanics · Physics 2026-02-19 Simon Jiricek , Miroslav Hopjan , Vladimir Kravtsov , Boris Altshuler , Lev Vidmar

We investigate critical quantum metrology,that is the estimation of parameters in many-body systems close to a quantum critical point, through the lens of Bayesian inference theory. We first derive a no-go result stating that any…

Quantum Physics · Physics 2023-10-31 Raffaele Salvia , Mohammad Mehboudi , Martí Perarnau-Llobet

In this work, we explore an unconventional class of problems in the study of (quantum) critical phenomena, termed ''deep boundary criticality''. Traditionally, critical systems are analyzed with two types of perturbations: those uniformly…

Strongly Correlated Electrons · Physics 2025-10-23 Shang Liu

Quantum criticality is a fundamental organizing principle for studying strongly correlated systems. Nevertheless, understanding quantum critical dynamics at nonzero temperatures is a major challenge of condensed matter physics due to the…

Strongly Correlated Electrons · Physics 2018-06-19 Jianda Wu , Wang Yang , Congjun Wu , Qimiao Si

We numerically investigate the Olami-Feder-Christensen model on a quenched random graph. Contrary to the case of annealed random neighbors, we find that the quenched model exhibits self-organized criticality deep within the nonconservative…

Statistical Mechanics · Physics 2009-11-07 Stefano Lise , Maya Paczuski

We address the question whether the super-Heisenberg scaling for quantum estimation is realizable. We unify the results of two approaches. In the first one, the original system is compared with its copy rotated by the parameter dependent…

Quantum Physics · Physics 2018-04-25 Marek M. Rams , Piotr Sierant , Omjyoti Dutta , Paweł Horodecki , Jakub Zakrzewski

We review the ideas of how random matrix theory has to be properly applied to quantum physics; particularly we focus on how the spectrum has to be properly prepared and the random matrix correctly identified before the random matrix and the…

Quantum Physics · Physics 2026-04-28 Mario Kieburg

One of the key ingredients of many LOCC protocols in quantum information is a multiparticle (locally) maximally entangled quantum state, aka a critical state, that possesses local symmetries. We show how to design critical states with…

Quantum Physics · Physics 2021-05-04 Oskar Słowik , Adam Sawicki , Tomasz Maciążek

The physics of complex systems stands to greatly benefit from the qualitative changes in data availability and advances in data-driven computational methods. Many of these systems can be represented by interacting degrees of freedom on…

Statistical Mechanics · Physics 2024-11-27 Doruk Efe Gökmen , Sounak Biswas , Sebastian D. Huber , Zohar Ringel , Felix Flicker , Maciej Koch-Janusz

We study critical properties of the entanglement and charge-sharpening measurement-induced phase transitions in a non-unitary quantum circuit evolving with a U(1) conserved charge. Our numerical estimation of the critical properties of the…

Disordered Systems and Neural Networks · Physics 2024-11-15 Ahana Chakraborty , Kun Chen , Aidan Zabalo , Justin H. Wilson , J. H. Pixley

The biased Dicke model describes a system of biased two-level atoms coupled to a bosonic field, and is expected to produce new phenomena that are not present in the original Dicke model. In this paper, we study the critical properties of…

Quantum Physics · Physics 2015-12-22 Hanjie Zhu , Guofeng Zhang , Heng Fan

We study the quantum entanglement caused by unitary operators that have classical limits that can range from the near integrable to the completely chaotic. Entanglement in the eigenstates and time-evolving arbitrary states is studied…

Chaotic Dynamics · Physics 2009-10-31 Arul Lakshminarayan

There is a growing need for machine learning-based anomaly detection strategies to broaden the search for Beyond-the-Standard-Model (BSM) physics at the Large Hadron Collider (LHC) and elsewhere. The first step of any anomaly detection…

High Energy Physics - Phenomenology · Physics 2023-01-18 Gregor Kasieczka , Radha Mastandrea , Vinicius Mikuni , Benjamin Nachman , Mariel Pettee , David Shih

Critical phenomena have been extensively investigated both theoretically and experimentally in many fields, such as condensed matter physics, biology, e.g., brain criticality, and cosmology. In particular, the behaviour of response…

The entangling power of a unitary operator quantifies its ability to generate entanglement from product states and provides a natural probe of quantum many-body dynamics. Entanglement extremization at points of enhanced symmetry has…

Quantum Physics · Physics 2026-05-21 Ian Low , Pallab Goswami

We introduce the single-copy entanglement as a quantity to assess quantum correlations in the ground state in quantum many-body systems. We show for a large class of models that already on the level of single specimens of spin chains,…

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

The entanglement entropy in clean, as well as in random quantum spin chains has a logarithmic size-dependence at the critical point. Here, we study the entanglement of composite systems that consist of a clean and a random part, both being…

Disordered Systems and Neural Networks · Physics 2017-11-28 Robert Juhász , István A. Kovács , Gergő Roósz , Ferenc Iglói

Quantum critical systems out of equilibrium are of extensive interest, but are difficult to study theoretically. We consider here the steady state limit of a single electron transistor, which is attached to ferromagnetic leads and subjected…

Strongly Correlated Electrons · Physics 2009-11-10 Stefan Kirchner , Qimiao Si

We study how symmetry can enrich strong-randomness quantum critical points and phases, and lead to robust topological edge modes coexisting with critical bulk fluctuations. These are the disordered analogues of gapless topological phases.…

Strongly Correlated Electrons · Physics 2021-04-02 Carlos M. Duque , Hong-Ye Hu , Yi-Zhuang You , Vedika Khemani , Ruben Verresen , Romain Vasseur

We present a controlled rare-weak-link theory of the superfluid-to-Bose/Mott glass transition in one-dimensional disordered systems. The transition has Kosterlitz-Thouless critical properties but may occur at an arbitrary large value of the…

Statistical Mechanics · Physics 2015-06-17 Lode Pollet , Nikolay V. Prokof'ev , Boris V. Svistunov
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