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Dynamical quantum phase transitions (DQPTs) at critical times appear as non-analyticities during nonequilibrium quantum real-time evolution. Although there is evidence for a close relationship between DQPTs and equilibrium phase…

Statistical Mechanics · Physics 2015-10-06 Markus Heyl

The non-Hermitian dynamics of open systems deal with how intricate coherent effects of a closed system intertwine with the impact of coupling to an environment. The system-environment dynamics can then lead to so-called exceptional points,…

Strongly Correlated Electrons · Physics 2022-09-12 Andisheh Khedri , Dominic Horn , Oded Zilberberg

We conduct a numerical study of wave localization in disordered three-dimensional non-Hermitian systems featuring exceptional points. The energy spectrum of a disordered non-Hermitian Hamiltonian, exhibiting both parity-time and…

Disordered Systems and Neural Networks · Physics 2025-09-30 C. Wang , X. R. Wang

We introduce a novel characterization of phase transitions based on hypothesis testing. In our formulation, a phase transition is defined as the breakdown of statistical indistinguishability under vanishing parameter perturbations in the…

Statistical Mechanics · Physics 2026-04-20 Taiyo Narita , Hideyuki Miyahara

Universality aids consistent understanding of physical properties. This includes understanding the states of matter where a theory predicts how a property of a phase (solid, liquid, gas) changes with temperature or pressure. Here, we show…

Statistical Mechanics · Physics 2022-08-17 Cillian Cockrell , Kostya Trachenko

We study the dynamics of perturbations around nonthermal fixed points associated to universal scaling phenomena in quantum many-body systems far from equilibrium. For an N-component scalar quantum field theory in 3+1 space-time dimensions,…

High Energy Physics - Phenomenology · Physics 2023-01-23 Thimo Preis , Michal P. Heller , Jürgen Berges

The "critical brain hypothesis" posits that neural circuitry may be tuned close to a "critical point" or "phase transition" -- a boundary between different operating regimes of the circuit. The renormalization group and theory of critical…

Neurons and Cognition · Quantitative Biology 2025-10-30 Braden A. W. Brinkman

While classical theory of phase transitions deals with systems where shape variation is energetically neutral, the account of rigidity can lead to the emergence of new thermodynamic features. One of them is a special type of critical points…

Materials Science · Physics 2024-04-18 Yury Grabovsky , Lev Truskinovsky

In the past two decades or so, we have learned how to understand crackling noise in a wide variety of systems. We review here the basic ideas and methods we use to understand crackling noise - critical phenomena, universality, the…

Disordered Systems and Neural Networks · Physics 2007-05-23 James P. Sethna

Hybrid percolation transitions (HPTs) induced by cascading processes have been observed in diverse complex systems such as $k$-core percolation, breakdown on interdependent networks and cooperative epidemic spreading models. Much effort has…

Physics and Society · Physics 2017-08-16 Deokjae Lee , Wonjun Choi , J. Kertész , B. Kahng

Phase transitions are fundamental features of statistical physics. While the well-studied continuous phase transitions are known to be controlled by external \textit{macroscopic} changes in the order parameter, the origin of abrupt…

Physics and Society · Physics 2024-10-25 Bnaya Gross , Irina Volotsenko , Yuval Sallem , Nahala Yadid , Ivan Bonamassa , Shlomo Havlin , Aviad Frydman

Based on the study of saddle points of the potential energy landscapes of generic classical many-particle systems, we present a necessary criterion for the occurrence of a thermodynamic phase transition. Remarkably, this criterion imposes…

Statistical Mechanics · Physics 2008-04-25 Michael Kastner , Oliver Schnetz

We show, via explicit computation on a constrained bosonic model, that the presence of subsystem symmetries can lead to a quantum phase transition (QPT) where the critical point exhibits an emergent enhanced symmetry. Such a transition…

Strongly Correlated Electrons · Physics 2025-08-27 Anirudha Menon , Anwesha Chattopadhyay , K. Sengupta , Arnab Sen

Classical phase transitions, like solid-liquid-gas or order-disorder spin magnetic phases, are all driven by thermal energy fluctuations by varying the temperature. On the other hand, quantum phase transitions happen at absolute zero…

Quantum Physics · Physics 2024-03-13 Sabre Kais

Multicomponent phase separation is a routine occurrence in both living and synthetic systems. Thermodynamics provides a straightforward path to determine the phase boundaries that characterize these transitions for systems at equilibrium.…

Statistical Mechanics · Physics 2025-12-08 Yu-Jen Chiu , Daniel Evans , Ahmad K. Omar

Quantum phase transitions encompass a variety of phenomena that occur in quantum systems exhibiting several possible symmetries. Traditionally, these transitions are explored by continuously varying a control parameter that connects two…

Quantum Physics · Physics 2024-06-12 Á. Sáiz , J. Khalouf-Rivera , J. M. Arias , P. Pérez-Fernández , J. Casado-Pascual

Real-to-complex spectral transitions and the associated spontaneous symmetry breaking of eigenstates are central to non-Hermitian physics, yet a comprehensive and universal theory that precisely describes the underlying physical mechanisms…

Quantum Physics · Physics 2025-06-23 Zhuo-Ting Cai , Hai-Dong Li , Wei Chen

We study the phase transition between a trivial and a time-reversal-invariant topological superconductor in a single-band system. By analyzing the interplay of symmetry, topology and energetics, we show that for a generic normal state band…

Superconductivity · Physics 2017-11-08 Yuxuan Wang , Liang Fu

Many systems that can be described in terms of diffusion-limited `chemical' reactions display non-equilibrium continuous transitions separating active from inactive, absorbing states, where stochastic fluctuations cease entirely. Their…

Statistical Mechanics · Physics 2015-06-24 Uwe C. Tauber

We study the critical phenomena of the dynamical transition from a metastable state to a stable state in the model of first-order phase transition via two different triggering mechanisms. Three universal stages during the fully nonlinear…

High Energy Physics - Theory · Physics 2023-02-01 Qian Chen , Yuxuan Liu , Yu Tian , Bin Wang , Cheng-Yong Zhang , Hongbao Zhang