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We address a simple connection between results of Hamiltonian nonlinear dynamical theory and thermostatistics. Using a properly defined dynamical temperature in low-dimensional symplectic maps, we display and characterize long-standing…

Statistical Mechanics · Physics 2015-06-24 Fulvio Baldovin , Edgardo Brigatti , Constantino Tsallis

We introduce a large class of models exhibiting robust ergodicity breaking in quantum dynamics. Our work is inspired by recent discussions of "topologically robust Hilbert space fragmentation," but massively generalizes in two directions:…

Statistical Mechanics · Physics 2025-04-25 Alexey Khudorozhkov , Charles Stahl , Oliver Hart , Rahul Nandkishore

We report direct experimental evidence that the insulating phase of a disordered, yet strongly interacting two-dimensional electron system (2DES) becomes unstable at low temperatures. As the temperature decreases, a transition from…

Mesoscale and Nanoscale Physics · Physics 2008-01-15 M. Baenninger , A. Ghosh , M. Pepper , H. E. Beere , I. Farrer , D. A. Ritchie

Understanding and probing phase transitions in non-equilibrium systems is an ongoing challenge in physics. A particular instance are phase transitions that occur between a non-fluctuating absorbing phase, e.g., an extinct population, and…

The one-parameter scaling theory of localization predicts that all states in a disordered two-dimensional system with broken time reversal symmetry are localized even in the presence of strong spin-orbit coupling. While at constant strong…

Disordered Systems and Neural Networks · Physics 2017-06-27 Ying Su , C. Wang , Y. Avishai , Yigal Meir , X. R. Wang

Characterizing states of matter through the lens of their ergodic properties is a fascinating new direction of research. In the quantum realm, the many-body localization (MBL) was proposed to be the paradigmatic ergodicity breaking…

Strongly Correlated Electrons · Physics 2021-01-01 J. Šuntajs , J. Bonča , T. Prosen , L. Vidmar

In this paper we propose a new perspective to analyze the many-body localization (MBL) transition when recast in terms of a single-particle tight-binding model in the space of many-body configurations. We compute the distribution of…

Statistical Mechanics · Physics 2020-08-05 Marco Tarzia

Stability achieved by large angular momentum is ubiquitous in nature, with examples ranging from classical mechanics, over optics and chemistry, to nuclear physics. In atoms, angular momentum can protect excited electronic orbitals from…

We develop a variational formalism in order to study the structure of low energy spectra of frustrated quantum spin systems. It is first applied to trial wavefunctions of ladders with one spin-1/2 on each site. We determine energy minima of…

Strongly Correlated Electrons · Physics 2007-05-23 Jean Richert

Population dynamics in weakly-excited clouds of ultracold $^{87}$Rb Rydberg atoms were studied by means of trap loss, fluorescence detection, and state dependent stimulated emission. Rydberg atoms were excited to various nl Rydberg states…

Quantum Physics · Physics 2009-11-13 J. O. Day , E. Brekke , T. G. Walker

A weak-localization effect has been studied in macroscopically inhomogeneous 2D system. It is shown, that although the real phase breaking length tends to infinity when the temperature tends to zero, such a system can reveal a saturated…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. V. Germanenko , G. M. Minkov , O. E. Rut

The breaking of ergodicity in isolated quantum systems with a single-particle mobility edge is an intriguing subject that has not yet been fully understood. In particular, whether a nonergodic but metallic phase exists or not in the…

Disordered Systems and Neural Networks · Physics 2018-12-13 Yi-Ting Hsu , Xiao Li , Dong-Ling Deng , S. Das Sarma

The Glauber dynamics of the pure and weakly disordered random-bond 2d Ising model is studied at zero-temperature. A single characteristic length scale, $L(t)$, is extracted from the equal time correlation function. In the pure case, the…

Disordered Systems and Neural Networks · Physics 2009-10-31 S. Jain

Thermodynamical properties of the nuclear matter at sub-saturation densities were investigated using a simple van der Waals-like equation of state with an additional term representing the symmetry energy. First-order isospin-asymmetric…

Nuclear Theory · Physics 2009-11-13 M. Veselsky

The stability of different phases of the three-dimensional non-relativistic electron gas is analyzed using stochastic methods. With decreasing density, we observe a {\it continuous} transition from the paramagnetic to the ferromagnetic…

Condensed Matter · Physics 2009-10-31 G. Ortiz , M. Harris , P. Ballone

Starting from the classical Saltzman 2D convection equations, we derive via a severe spectral truncation a minimal 10 ODE system which includes the thermal effect of viscous dissipation. Neglecting this process leads to a dynamical system…

Chaotic Dynamics · Physics 2011-10-11 Valerio Lucarini , Klaus Fraedrich

We perform a nonperturbative lattice study of the electroweak phase transition in the real singlet scalar extension of the Standard Model.We consider both the heavy and light singlet-like scalar regimes at non-zero singlet-doublet mixing…

High Energy Physics - Phenomenology · Physics 2024-08-13 Lauri Niemi , Michael J. Ramsey-Musolf , Guotao Xia

Strongly Rydberg-blockaded two-level atoms form a Rydberg superatom, which is excited only to a collective symmetrical Dicke state. However, emerging often in the alkali-earth atoms, the spontaneous decay from the Rydberg state to an…

Quantum Physics · Physics 2021-12-21 Chang Qiao , Wenxian Zhang

We briefly review some equilibrium and nonequilibrium properties of systems with long-range interactions. Such systems, which are characterized by a potential that weakly decays at large distances, have striking properties at equilibrium,…

Statistical Mechanics · Physics 2009-11-13 Stefano Ruffo

Statistical mechanics is founded on the assumption that all accessible configurations of a system are equally likely. This requires dynamics that explore all states over time, known as ergodic dynamics. In isolated quantum systems, however,…