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The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

Strongly Correlated Electrons · Physics 2008-11-26 Eduardo Fradkin , Joel E. Moore

We consider exactly solvable semi-classical theory of two dimensional dilatonic gravity with electromagnetic interactions. As was done in the paper by Russo, Susskind and Thorlacius, the term which changes the kinetic term is added to the…

High Energy Physics - Theory · Physics 2010-11-01 Shin'ichi Nojiri , Ichiro Oda

Based on a theory of extra dimensional confinement of quantum particles [E. R. Hedin, Physics Essays 25, 2 (2012)], a simple model of a nucleon-nucleon (NN) central potential is derived which quantitatively reproduces the radial profile of…

General Physics · Physics 2017-12-15 Eric R. Hedin

In a two-dimensional world a free quantum particle of vanishing angular momentum experiences an attractive force. This force originates from a modification of the classical centrifugal force due to the wave nature of the particle. For…

Quantum Physics · Physics 2015-02-06 M. A. Cirone , K. Rzazewski , W. P. Schleich , F. Straub , J. A. Wheeler

A promising approach to solving hard binary optimisation problems is quantum adiabatic annealing (QA) in a transverse magnetic field. An instantaneous ground state --- initially a symmetric superposition of all possible assignments of $N$…

Quantum Physics · Physics 2016-05-18 Sergey Knysh

Quantum theory of geometrically frustrated systems is usually approached as a gauge theory where the local conservation law becomes the Gauss law. Here we show that it can do something fundamentally different: enforce a global conserved…

Strongly Correlated Electrons · Physics 2025-12-17 Dan Mao , Eun-Ah Kim

Power induced wave collapse is one of the most fascinating phenomena in optics as it provides extremely high intensities, thus stimulating a range of nonlinear processes. For low power levels, propagation of beams in bulk media is dominated…

The simultaneous presence of two competing inter-particle interactions can lead to the emergence of new phenomena in a many-body system. Among others, such effects are expected in dipolar Bose-Einstein condensates, subject to dipole-dipole…

Quantum Gases · Physics 2016-10-20 Igor Ferrier-Barbut , Matthias Schmitt , Matthias Wenzel , Holger Kadau , Tilman Pfau

Promotion of quantum theory from a theory of measurement to a theory of reality requires an unambiguous specification of the ensemble of realizable states (and each state's probability of realization). Although not yet achieved within the…

Quantum Physics · Physics 2009-11-11 Philip Pearle

A system of N classical particles in a 2D periodic cell interacting via long-range attractive potential is studied. For low energy density $U$ a collapsed phase is identified, while in the high energy limit the particles are homogeneously…

Statistical Mechanics · Physics 2016-08-31 Alessandro Torcini , Mickael Antoni

Relational particle mechanics is useful for modelling whole-universe issues such as quantum cosmology or the problem of time in quantum gravity, including some aspects outside the reach of comparably complex minisuperspace models. In this…

General Relativity and Quantum Cosmology · Physics 2010-03-25 Edward Anderson , Anne Franzen

Quantum annealing is an innovative idea and method for avoiding the increase of the calculation cost of the combinatorial optimization problem. Since the combinatorial optimization problems are ubiquitous, quantum annealing machine with…

Statistical Mechanics · Physics 2020-01-13 Shohei Watabe , Yuya Seki , Shiro Kawabata

It is sometimes stated in the literature that the quantum anomaly is regarded as an example of the geometric phase. Though there is some superficial similarity between these two notions, we here show that the differences bewteen these two…

High Energy Physics - Theory · Physics 2009-11-11 Kazuo Fujikawa

We study the stochastic dynamics of a symmetric self-chemotactic particle and determine the long-time behavior of its mean squared displacement (MSD). The attractive or repulsive interaction of the particle with the chemical field that it…

Statistical Mechanics · Physics 2025-08-29 Jacopo Romano , Andrea Gambassi

Quantum coherence profoundly alters classical thermodynamic expectations by modifying the structure and accessibility of probability distributions. Classically, transitions to lower-entropy states (local second-law violations) are…

Quantum Physics · Physics 2025-05-20 Andrei Tudor Patrascu

Recent years have witnessed tremendous success in the discovery of topological states of matter. Particularly, sophisticated theoretical methods in time-reversal-invariant topological phases have been developed, leading to the comprehensive…

Materials Science · Physics 2021-04-26 Jinbo Pan , Jiabin Yu , Yan-Fang Zhang , Shixuan Du , Anderson Janotti , Chao-Xing Liu , Qimin Yan

Based on ab initio calculations, we predict that a monolayer of Cr-doped (Bi,Sb)2Te3 and GdI2 heterostructure is a quantum anomalous Hall insulator with a non-trivial band gap up to 38 meV. The principle behind our prediction is that the…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Gang Xu , Jing Wang , Claudia Felser , Xiao-Liang Qi , Shou-Cheng Zhang

The chiral anomaly is a fundamental quantum mechanical phenomenon which is of great importance to both particle physics and condensed matter physics alike. In the context of QED it manifests as the breaking of chiral symmetry in the…

Strongly Correlated Electrons · Physics 2021-05-12 Colin Rylands , Alireza Parhizkar , Anton A. Burkov , Victor Galitski

This paper provides an examination of how are prediction of standard quantum mechanic (QM) affected by introducing a noncommutative (NC) structure into the configuration space of the considered system (electron in the Coulomb potential in…

Mathematical Physics · Physics 2015-12-10 Veronika Gáliková , Samuel Kováčik , Peter Prešnajder

The transition from the quantum to the classical realm remains one of the most profound open questions in physics. While quantum theory predicts the existence of macroscopic superpositions, their apparent absence in the everyday world is…

Quantum Physics · Physics 2026-01-07 Ridha Horchani