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Suppose that an infinite lattice gas of constant density $n_0$, whose dynamics are described by the symmetric simple exclusion process, is brought in contact with a spherical absorber of radius $R$. Employing the macroscopic fluctuation…

Statistical Mechanics · Physics 2015-12-07 Baruch Meerson

The unipolar and bipolar macroscopic quantum models derived recently for instance in the area of charge transport are considered in spatial one-dimensional whole space in the present paper. These models consist of nonlinear fourth-order…

Mathematical Physics · Physics 2008-11-25 Hai-Liang Li , Guo-Jing Zhang , Min Zhang , Chengchun Hao

The probability of observing a large deviation (LD) in the number of particles in a region $\Lambda$ in a dilute quantum gas contained in a much larger region $V$ is shown to decay as $\exp[-|\Lambda|\Delta F]$, where $|\L|$ is the volume…

Statistical Mechanics · Physics 2007-05-23 G. Gallavotti , J. L. Lebowitz , V. Mastropietro

It has been conjectured that transport in integrable one-dimensional (1D) systems is necessarily ballistic. The large diffusive response seen experimentally in nearly ideal realizations of the S=1/2 1D Heisenberg model is therefore puzzling…

Strongly Correlated Electrons · Physics 2010-12-01 J. Sirker , R. G. Pereira , I. Affleck

Causality constrains the gravitational interactions of massive higher spin particles in both AdS and flat spacetime. We explore the extent to which these constraints apply to composite particles, explaining why they do not rule out…

High Energy Physics - Theory · Physics 2020-01-29 Jared Kaplan , Sandipan Kundu

Quantum mechanics predicts that massive particles exhibit wave-like behavior. Matterwave interferometry has been able to validate such predictions through ground-breaking experiments involving microscopic systems like atoms and molecules.…

Quantum Physics · Physics 2025-10-08 R. Muffato , T. S. Georgescu , M. Carlesso , M. Paternostro , H. Ulbricht

We investigate the propagation of density-wave packets in a Bose-Hubbard model using the adaptive time-dependent density-matrix renormalization group method. We discuss the decay of the amplitude with time and the dependence of the velocity…

Other Condensed Matter · Physics 2009-11-10 C. Kollath , U. Schollwöck , J. von Delft , W. Zwerger

We study the fidelity of quantum teleportation for the situation in which quantum logic gates are used to provide the long distance entanglement required in the protocol, and where the effect of a noisy environment is modeled by means of a…

Quantum Physics · Physics 2007-05-23 Gabriel G Carlo , Giuliano Benenti , Giulio Casati

We consider two mutually interacting fermionic particle species on a one-dimensional lattice and study how the mass ratio $\eta$ between the two species affects the (equilibration) dynamics of the particles. Focussing on the regime of…

Strongly Correlated Electrons · Physics 2020-07-27 Tjark Heitmann , Jonas Richter , Thomas Dahm , Robin Steinigeweg

Quantum cluster theories are a set of approaches for the theory of correlated and disordered lattice systems, which treat correlations within the cluster explicitly, and correlations at longer length scales either perturbatively or within a…

Superconductivity · Physics 2009-11-11 T. A. Maier , M. S. Jarrell , D. J. Scalapino

Finite lattice models are a prototype for strongly correlated quantum systems and capture essential properties of condensed matter systems. With the dramatic progress in ultracold atoms in optical lattices, finite fermionic Hubbard systems…

Strongly Correlated Electrons · Physics 2014-09-10 Denis Lacroix , S. Hermanns , C. M. Hinz , M. Bonitz

We review recent advances in experimental and theoretical understanding of spin transport in strongly interacting Fermi gases. The central new phenomenon is the observation of a lower bound on the (bare) spin diffusivity in the strongly…

Quantum Gases · Physics 2019-03-13 Tilman Enss , Joseph H. Thywissen

We observe strong dynamical suppression of optically induced loss in a weakly interacting Fermi gas as the $s$-wave scattering length is increased. The single, cigar-shaped cloud behaves as a large spin lattice in energy space with a…

Quantum Gases · Physics 2024-10-25 Camen A. Royse , J. Huang , J. E. Thomas

Ultracold atomic gases provide a fantastic platform to implement quantum simulators and investigate a variety of models initially introduced in condensed matter physics or other areas. One of the most promising applications of quantum…

Quantum Gases · Physics 2019-01-07 Leticia Tarruell , Laurent Sanchez-Palencia

We consider single-particle quantum transport on parametrized complex networks. Based on general arguments regarding the spectrum of the corresponding Hamiltonian, we derive bounds for a measure of the global transport efficiency defined by…

Quantum Physics · Physics 2015-09-18 Nikolaj Kulvelis , Maxim Dolgushev , Oliver Muelken

We investigate quantum and quantum-relativistic effects associated with the noise power spectrum and the fluctuation--dissipation relation between current--noise spectra and linear--response conductance at low frequencies of the…

Mesoscale and Nanoscale Physics · Physics 2025-10-17 Lino Reggiani , Federico Intini , Luca Varani

In many condensed-matter systems, it is very useful to introduce a quasi-particle approach, which is based on some sort of linearization around a suitable background state. In order to be a systematic and controlled approximation, this…

Strongly Correlated Electrons · Physics 2013-03-19 Patrick Navez , Friedemann Queisser , Ralf Schützhold

Constraints in the dynamics of quantum many-body systems can dramatically alter transport properties and relaxation timescales even in the absence of static disorder. Here, we report on the observation of such constrained dynamics arising…

We consider a periodic quantum graph in the form of a rectangular lattice with the $\delta$-coupling of strength $\gamma$ in the vertices perturbed by changing the latter at an infinite straight array of vertices to a…

Spectral Theory · Mathematics 2024-12-31 Marzieh Baradaran , Pavel Exner , Andrii Khrabustovskyi

Energy-transport equations for the transport of fermions in optical lattices are formally derived from a Boltzmann transport equation with a periodic lattice potential in the diffusive limit. The limit model possesses a formal gradient-flow…

Analysis of PDEs · Mathematics 2017-04-11 Marcel Braukhoff , Ansgar Jüngel