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We report the results of a numerical study of nonequilibrium steady states for a class of Hamiltonian models. In these models of coupled matter-energy transport, particles exchange energy through collisions with pinned-down rotating disks.…

Statistical Mechanics · Physics 2015-05-18 Kevin K. Lin , Lai-Sang Young

We study the stationary nonlinear Schr\"odinger equation, or Gross-Pitaevskii equation, for a one--dimensional finite square well potential. By neglecting the mean--field interaction outside the potential well it is possible to discuss the…

Other Condensed Matter · Physics 2007-05-23 K. Rapedius , D. Witthaut , H. J. Korsch

We extend the Kajueter-Kotliar [Phys. Rev. Lett. 77, 131 (1996)] iterated perturbation theory (KK-IPT) away from half filling to nonequilibrium steady states. We benchmark the resulting nonequilibrium KK-IPT approach against the auxiliary…

Strongly Correlated Electrons · Physics 2026-04-20 Tommaso Maria Mazzocchi , Enrico Arrigoni

Non-equilibrium steady states (NESS) describe particularly simple and stationary non-equilibrium situations. A possibility to obtain such states is to consider the asymptotic evolution of two infinite heat baths brought into thermal…

Mathematical Physics · Physics 2018-06-05 Thomas-Paul Hack , Rainer Verch

We construct a particle-number(n)-resolved master equation (ME) approach under the self-consistent Born approximation (SCBA) for quantum transport through mesoscopic systems. The formulation is essentially non-Markovian and incorporates the…

Mesoscale and Nanoscale Physics · Physics 2013-12-16 Yu Liu , Jinshuang Jin , Jun Li , Xin-Qi Li , YiJing Yan

We compute exactly the non-equilibrium DC noise in a Luttinger liquid with an impurity and an applied voltage. By generalizing Landauer transport theory for Fermi liquids to interacting, integrable systems, we relate this noise to the…

Condensed Matter · Physics 2009-10-28 P. Fendley , H. Saleur

We present a construction of non-equilibrium steady states within conformal field theory. These states sustain energy flows between two quantum systems, initially prepared at different temperatures, whose dynamical properties are…

Mathematical Physics · Physics 2015-06-23 D. Bernard , B. Doyon , J. Viti

The resonant-level model represents a paradigmatic quantum system which serves as a basis for many other quantum impurity models. We provide a comprehensive analysis of the non-equilibrium transport near a quantum phase transition in a…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Chung-Hou Chung , Karyn Le Hur , Gleb Finkelstein , Matthias Vojta , Peter Woelfle

Non-equilibrium steady states of quantum fields on star graphs are explicitly constructed. These states are parametrized by the temperature and the chemical potential, associated with each edge of the graph. Time reversal invariance is…

Mathematical Physics · Physics 2011-09-23 Mihail Mintchev

We establish a set of nonequilibrium quantum phase transitions in the Dicke model by considering a monochromatic nonadiabatic modulation of the atom-field coupling. For weak driving the system exhibits a set of sidebands which allow the…

Quantum Physics · Physics 2012-01-31 V. M. Bastidas , C. Emary , B. Regler , T. Brandes

Quantum systems coupled to (non-)Markovian environments attract increasing attention due to their peculiar physical properties. Exciting prospects such as unconventional non-equilibrium phases beyond the Mermin-Wagner limit, or the…

Quantum Physics · Physics 2025-09-10 Philipp Westhoff , Mattia Moroder , Ulrich Schollwöck , Sebastian Paeckel

We consider a mobile impurity particle injected into a one-dimensional quantum gas. The time evolution of the system strongly depends on whether the mass of the impurity and the masses of the host particles are equal or not. For equal…

Quantum Gases · Physics 2021-12-15 Evgeni Burovski , Oleksandr Gamayun , Oleg Lychkovskiy

We report a bound state of the one-dimensional two-particle (bosonic or fermionic) Hubbard model with an impurity potential. This state has the Bethe-ansatz form, although the model is nonintegrable. Moreover, for a wide region in parameter…

Disordered Systems and Neural Networks · Physics 2017-05-23 J. M. Zhang , Daniel Braak , Marcus Kollar

We investigate nonequilibrium energy transfer in a single-site Bose-Hubbard model coupled to two thermal baths. By including a quantum kinetic equation combined with full counting statistics, we investigate the steady state energy flux and…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Xu-Min Chen , Chen Wang , Ke-Wei Sun

A recently introduced one-dimensional two-particle Bose-Hubbard model with a single impurity is studied on finite lattices. The model possesses a discrete reflection symmetry and we demonstrate that all eigenstates odd under this symmetry…

Quantum Physics · Physics 2014-11-06 Daniel Braak , J. M. Zhang , Marcus Kollar

We (re) consider in this paper the problem of tunneling through an impurity in a quantum wire with arbitrary Luttinger interaction parameter. By combining the integrable approach developed in the case of Quantum Hall edge states with the…

Strongly Correlated Electrons · Physics 2009-10-31 A. Koutouza , F. Siano , H. Saleur

We argue that a particle language provides a conceptually simple framework for the description of anomalous equilibration in isolated quantum systems. We address this paradigm in the context of integrable models, which are those with…

Statistical Mechanics · Physics 2017-03-22 Enej Ilievski , Eoin Quinn , Jean-Sébastien Caux

We drive a quantum kinetic equation under discrete impurities for the Wigner function from the quantum Liouville equation. To attain this goal, the electrostatic Coulomb potential is separated into the long- and short-range parts, and the…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 Nobuyuki Sano

We extend the general formalism discussed in the previous paper [A. B. Culver and N. Andrei, Phys. Rev. B 103, 195106 (2021)] to two models with charge fluctuations: the interacting resonant level model and the Anderson impurity model. In…

Strongly Correlated Electrons · Physics 2021-06-29 Adrian B. Culver , Natan Andrei

In this work, we develop a non-equilibrium steady-state non-crossing approximation (NESS-NCA) impurity solver applicable to general impurity problems. The choice of the NCA as the impurity solver enables both a more accurate description of…

Strongly Correlated Electrons · Physics 2025-01-06 Beomjoon Goh , Junwon Kim , Hongchul Choi , Ji Hoon Shim
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