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We study the entropy time evolution of a quantum mechanical model, which is frequently used as a prototype for Anderson's localization. Recently Latora and Baranger [V. Latora, M. Baranger, Phys. Rev.Lett. 82, 520(1999)] found that there…

Statistical Mechanics · Physics 2009-10-31 Paolo Grigolini , Marco G. Pala , Luigi Palatella , Roberto Roncaglia

We provide an algorithm based on weighted-ensemble (WE) methods, to accurately sample systems at steady state. Applying our method to different one- and two-dimensional models, we succeed to calculate steady state probabilities of order…

Statistical Mechanics · Physics 2015-06-15 Justus A. Kromer , Lutz Schimansky-Geier , Raul Toral

The nonlocal electrodynamics of uniformly rotating systems is presented and its predictions are discussed. In this case, due to paucity of experimental data, the nonlocal theory cannot be directly confronted with observation at present. The…

High Energy Physics - Theory · Physics 2010-11-19 Bahram Mashhoon

Absorption of elastic waves in complex media is commonly found to increase linearly with frequency, for both longitudinal and shear waves. This ubiquitous property is observed in media such as rocks, unconsolidated sediments, and human…

Soft Condensed Matter · Physics 2025-02-07 Sverre Holm , Joakim Bergli

The competition between the Mott transition and the Anderson localization in one dimensional electron systems is studied based upon the bosonization and the renormalization group method. The beta function is calculated up to the second…

Condensed Matter · Physics 2009-10-28 Satoshi Fujimoto , Norio Kawakami

Employing the chiral Unitary Ensemble of random matrices we calculate the probability distribution of the local density of states for zero-dimensional ("quantum chaotic") two-sublattice systems at the point of chiral symmetry E=0 and in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yan V. Fyodorov , Alexander Ossipov

This work demonstrates preliminary results on energy harvesting from a linearly stable flutter-type system with circulatory friction forces. Harmonic external forcing is applied to study the energy flow in the steady sliding configuration.…

Applied Physics · Physics 2019-09-04 Merten Stender , Merten Tiedemann , Norbert Hoffmann

Adaptive robust optimization (ARO) is a well-known technique to deal with the parameter uncertainty in optimization problems. While the ARO framework can actually be borrowed to solve some special problems without uncertain parameters, such…

Systems and Control · Electrical Eng. & Systems 2021-03-22 Xin Chen , Na Li

We derive the transport properties of a quantum dot subject to a source-drain bias voltage at zero temperature and magnetic field. Using the Scattering Bethe Anstaz, a generalization of the traditional Thermodynamic Bethe Ansatz to open…

Strongly Correlated Electrons · Physics 2015-03-13 Sung-Po Chao , Guillaume Palacios

We study the thermodynamics of open systems weakly driven out-of-equilibrium by nonconservative and time-dependent forces using the linear regime of stochastic thermodynamics. We make use of conservation laws to identify the potential and…

Statistical Mechanics · Physics 2022-10-13 Danilo Forastiere , Riccardo Rao , Massimiliano Esposito

We propose a new approach to extract the important degrees of freedom in quantum dynamics induced by an external stimulus. We calculate the coefficient matrix numerically, where the $i-l$ element of the matrix is the coefficient of the lth…

Strongly Correlated Electrons · Physics 2023-12-13 J. Tokimoto , S. Ohmura , A. Takahashi , K. Iwano , H. Okamoto

We use scattering theoretic methods to prove strong dynamical and exponential localization for one dimensional, continuum, Anderson-type models with singular distributions; in particular the case of a Bernoulli distribution is covered. The…

Mathematical Physics · Physics 2014-12-30 David Damanik , Robert Sims , Günter Stolz

We extend the concept of Anderson localization, the confinement of quantum information in a spatially irregular potential, to quantum circuits. Considering matchgate circuits, generated by time-dependent spin-1/2 XY Hamiltonians, we give an…

Quantum Physics · Physics 2018-07-18 Adrian Chapman , Akimasa Miyake

This work justifies the linear response formula for the Hall conductance of a two-dimensional disordered system. The proof rests on controlling the dynamics associated with a random time-dependent Hamiltonian. The principal challenge is…

Mathematical Physics · Physics 2023-11-07 Wojciech De Roeck , Alexander Elgart , Martin Fraas

We have developed a method that can analyze large random grain boundary (GB) models with the accuracy of density functional theory (DFT) calculations using active learning. It is assumed that the atomic energy is represented by the linear…

Materials Science · Physics 2020-11-11 Tomoyuki Tamura , Masayuki Karasuyama

The ground-state energy of a quantum impurity model can be calculated using the numerical renormalization group with a modified discretization scheme, with sufficient accuracy to reliably extract physical information about the system. The…

Mesoscale and Nanoscale Physics · Physics 2009-08-06 Rok Zitko

Nonlinear electromagnetic response functions have reemerged as a crucial tool for studying quantum materials. Most attention has been paid to responses to spatially uniform electric fields, relevant to optical experiments in conventional…

Mesoscale and Nanoscale Physics · Physics 2024-03-28 Robert C. McKay , Fahad Mahmood , Barry Bradlyn

We consider time-dependent perturbations which are relatively bounded with respect to the square root of an unperturbed Hamiltonian operator, and whose commutator with the latter is controlled by the full perturbed Hamiltonian. The…

Mathematical Physics · Physics 2022-06-07 Giovanna Marcelli

The energy dependence of the nonradiative electron capture cross-section is discussed in the relativistic domain. A simple analytic expression is obtained for inner-shell transitions using second-order perturbation theory. We have confirmed…

atom-ph · Physics 2009-10-28 J F McCann , J T Glass , D S F Crothers

Within a Lagrangian formalism we derive the time-dependent Gutzwiller approximation for general multi-band Hubbard models. Our approach explicitly incorporates the coupling between time-dependent variational parameters and a time-dependent…

Strongly Correlated Electrons · Physics 2015-06-15 J. Bünemann , M. Capone , J. Lorenzana , G. Seibold
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