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A key problem in the modern study of AI is predicting and understanding emergent capabilities in models during training. Inspired by methods for studying reactions in quantum chemistry, we present the ``2-datapoint reduced density matrix".…

Machine Learning · Computer Science 2026-04-02 Max Hennick , Guillaume Corlouer

We introduce a new measure called reduced entropy of sublattice to quantify entanglement in spin, electron and boson systems. By analyzing this quantity, we reveal an intriguing connection between quantum entanglement and quantum phase…

Quantum Physics · Physics 2009-11-11 Y. Chen , Z. D. Wang , F. C. Zhang

Nuclear matter at finite temperature and barion density exhibits several phase transitions that could happen at the early stages of the Universe evolution and could be realized in heavy-ion or hadron-hadron collisions. Microscopic…

High Energy Physics - Phenomenology · Physics 2015-02-26 V. I. Yukalov , E. P. Yukalova

In simulations of a water-like model (ST2) that exhibits a liquid-liquid phase transition, we test for the occurrence of a thermodynamic region in which the liquid can be modelled as a two-component mixture. We assign each molecule to one…

Statistical Mechanics · Physics 2011-03-24 Megan J. Cuthbertson , Peter H. Poole

The dynamics of phase transitions plays a crucial r\^ole in the so-called interface between high energy particle physics and cosmology. Many of the interesting results generated during the last fifteen years or so rely on simplified…

High Energy Physics - Phenomenology · Physics 2007-05-23 Marcelo Gleiser

Monitoring networks contain monitoring nodes which observe an area of interest to detect any possible existing object and estimate its states. Each node has characteristics such as probability of detection and clutter density which may have…

Systems and Control · Computer Science 2019-04-24 Abolghasem Daeichian , Elham Honarvar

Predicting and characterizing phase transitions is crucial for understanding generic physical phenomena such as crystallization, protein folding and others. However, directly observing phase transitions is not always easy, and often one has…

Statistical Mechanics · Physics 2025-03-20 Suemin Lee , Ruiyu Wang , Lukas Herron , Pratyush Tiwary

Continuously monitoring the environment of a quantum many-body system reduces the entropy of (purifies) the reduced density matrix of the system, conditional on the outcomes of the measurements. We show that, for mixed initial states, a…

Quantum Physics · Physics 2020-11-03 Michael J. Gullans , David A. Huse

Using a controlled analytic non-perturbative treatment, that accounts for the quantum nature of the phonons, we derive a model that generically describes cooperative breathing-mode at strong electron-phonon interaction in one-band…

Strongly Correlated Electrons · Physics 2015-06-04 Ravindra Pankaj , Sudhakar Yarlagadda

An energy-based liquid-vapor interface detection method is presented using molecular dynamics (MD) simulations of liquid menisci confined between two parallel plates under equilibrium and evaporation/condensation conditions. This method…

Chemical Physics · Physics 2021-09-02 Mustafa Ozsipahi , Yigit Akkus , Chinh Thanh Nguyen , Ali Beskok

We examine time-resolved X-ray diffraction from molecules in the gas phase which undergo nonadiabatic avoided-crossing dynamics involving strongly coupled electrons and nuclei. Several contributions to the signal are identified,…

Chemical Physics · Physics 2017-05-30 Markus Kowalewski , Kochise Bennett , Shaul Mukamel

If a given behavior of a multi-agent system restricts the phase variable to a invariant manifold, then we define a phase transition as change of physical characteristics such as speed, coordination, and structure. We define such a phase…

Dynamical Systems · Mathematics 2017-07-21 Kelum Gajamannage , Erik M. Bollt

Using random walk sampling methods for feature learning on networks, we develop a method for generating low-dimensional node embeddings for directed graphs and identifying transition states of stochastic chemical reacting systems. We…

Numerical Analysis · Mathematics 2020-10-30 Paula Mercurio , Di Liu

The single-particle spectral properties near the Mott transition in the two-dimensional Hubbard model with next-nearest-neighbor hopping are investigated by using cluster perturbation theory. Complicated spectral features of this model are…

Strongly Correlated Electrons · Physics 2014-07-14 Masanori Kohno

We observed dynamically driven phase transitions in isentropically compressed bismuth. By changing the stress loading conditions we explored two distinct cases: one in which the experimental signature of the phase transformation corresponds…

Materials Science · Physics 2007-05-23 Marina Bastea , Sorin Bastea , James A. Emig , Paul T. Springer , David B. Reisman

Already a few bosons with contact interparticle interactions in small optical lattices feature a variety of quantum phases: superfluid, Mott-insulator and fermionized Tonks gases can be probed in such systems. To detect these phases --…

Quantum Gases · Physics 2018-05-02 R. Roy , A. Gammal , M. C. Tsatsos , B. Chatterjee , B. Chakrabarti , A. U. J. Lode

Motivated by a recent experiment that realizes nearest-neighbor dipolar couplings in an optical lattice [C. Lagoin, $\textit{et al.}$, Nature $\textbf{609}$, 485 (2022)], we study a one-dimensional version of the two-component extended…

Quantum Gases · Physics 2025-06-05 Saisai He , Yang Liu , Bin Xi , Hong-Gang Luo , Qiang Luo , Jize Zhao

Understanding the properties of molecular solids at high pressure is a key element in the development of new solid-state theories. However, the most commonly used generalized-gradient approximation (GGA) of the density functional theory…

Materials Science · Physics 2022-09-19 Madhavi H. Dalsaniya , Krzysztof Jan Kurzydłowski , Dominik Kurzydłowski

The percolation phase transition in complex network systems attracts much attention and has numerous applications in various research fields. Finite size effects smooth the transition and make it difficult to predict the critical point of…

Disordered Systems and Neural Networks · Physics 2026-02-11 A. V. Goltsev , S. N. Dorogovtsev

Over the past decade, parity-time (PT) symmetry and anti-PT (APT) symmetry in various physical systems have been extensively studied, leading to significant experimental and theoretical advancements. However, physical systems that…

Quantum Physics · Physics 2024-12-09 Ruicong Huang , Wencong Wang , Yuyang Liang , Dongmei Liu , Min Gu