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The theory of linear stochastic thermodynamics is developed for periodically driven systems in contact with a single reservoir. Appropriate thermodynamic forces and fluxes are identified, starting from the entropy production for a Markov…

Statistical Mechanics · Physics 2016-02-26 Karel Proesmans , Bart Cleuren , Christian Van den Broeck

We study temporal behavior of a quantum system under a slow external perturbation, which drives the system across a second order quantum phase transition. It is shown that despite the conventional adiabaticity conditions are always violated…

Statistical Mechanics · Physics 2007-05-23 Anatoli Polkovnikov

We consider a model for stationary electronic transport through a one-dimensional chain of two leads attached to a perturbed central region (quantum dot) in the regime where the theory proposed recently by Capek for a similar model of…

Statistical Mechanics · Physics 2009-11-07 Tomas Novotny

A one-dimensional system of interacting electrons out of equilibrium is studied in the framework of the Luttinger liquid model. We analyze several setups and develop a theory of tunneling into such systems. A remarkable property of the…

Mesoscale and Nanoscale Physics · Physics 2009-03-22 D. B. Gutman , Yuval Gefen , A. D. Mirlin

We study the time evolution and steady state of the charge current in a single-impurity Anderson model, using matrix product states techniques. A nonequilibrium situation is imposed by applying a bias voltage across one-dimensional…

Strongly Correlated Electrons · Physics 2013-07-31 Martin Nuss , Martin Ganahl , Hans Gerd Evertz , Enrico Arrigoni , Wolfgang von der Linden

We use the equations of motion of non-interacting electrons in a one-dimensional system to numerically study different aspects of charge pumping. We study the effects of the pumping frequency, amplitude, band filling and finite bias on the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Amit Agarwal , Diptiman Sen

We study transport through a lateral quantum dot in the vicinity of the singlet-triplet transition in its ground state. This transition, being sharp in an isolated dot, is broadened to a crossover by the exchange interaction of the dot…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Pustilnik , L. I. Glazman , W. Hofstetter

The transport properties of a tunnel barrier in a one-dimensional wire are investigated at finite voltages and temperatures. We generalize the Luttinger model to account for finite ranges of the interaction. This leads to deviations from…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Margit Steiner , Wolfgang Häusler

A method is proposed for studying wave and particle transport in disordered waveguide systems of dimension higher than unity by means of exact one-dimensionalization of the dynamic equations in the mode representation. As a particular case,…

Disordered Systems and Neural Networks · Physics 2013-01-31 Yu. V. Tarasov

We investigate transient dynamic response of an Anderson impurity quantum dot to a family of ramp-up driving voltage applied to the single coupling lead. Transient current is calculated based on a hierarchical equations of motion formalism…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Xiao Zheng , Jinshuang Jin , YiJing Yan

The emerging diffusive dynamics in many complex systems shows a characteristic crossover behaviour from anomalous to normal diffusion which is otherwise fitted by two independent power-laws. A prominent example for a subdiffusive-diffusive…

Statistical Mechanics · Physics 2018-09-26 D. Molina-Garcia , T. Sandev , H. Safdari , G. Pagnini , A. Chechkin , R. Metzler

We calculate the conductances of a three-way junction of spinless Luttinger-liquid wires as functions of bias voltages applied to three independent Fermi-liquid reservoirs. In particular, we consider the setup that is characteristic of a…

Strongly Correlated Electrons · Physics 2017-05-03 D. N. Aristov , I. V. Gornyi , D. G. Polyakov , P. Wölfle

We introduce a lattice model of interacting spins and bosons that leads to Luttinger-liquid physics, and allows for quantitative tests of the theory of bosonization by means of trapped-ion or superconducting-circuit experiments. By using a…

Strongly Correlated Electrons · Physics 2015-11-26 Andreas Kurcz , Juan Jose Garcia-Ripoll , Alejandro Bermudez

We present an implementation of a new method for explicit simulations of time-dependent electric currents through nanojunctions. The method is based on unitary propagation of stroboscopic wave packet states and is designed to treat open…

Materials Science · Physics 2014-05-06 M. Konôpka , P. Bokes

In the ballistic limit, the Landauer conductance steps of a mesoscopic quantum wire have been explained by coherent and dissipationless transmission of individual electrons across a one-dimensional barrier. This leaves untouched the central…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mukunda P. Das , Frederick Green

A crossover theory connecting Altshuler-Aronov electron-electron interaction corrections and Luttinger liquid behavior in quasi-1D disordered conductors has been formulated. Based on an interacting non-linear sigma model, we compute the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christophe Mora , Reinhold Egger , Alexander Altland

Non-equilibrium bosonization technique is used to study current fluctuations of interacting electrons in a single-channel quantum wire representing a Luttinger liquid (LL) conductor. An exact expression for the full counting statistics of…

Strongly Correlated Electrons · Physics 2010-12-14 D. B. Gutman , Yuval Gefen , A. D. Mirlin

We consider here systems with piecewise linear dynamics that are periodically sampled with a given period {\tau} . At each sampling time, the mode of the system, i.e., the parameters of the linear dynamics, can be switched, according to a…

Logic in Computer Science · Computer Science 2011-11-15 Laurent Fribourg , Bertrand Revol , Romain Soulat

We show existence, uniqueness and stability for a family of stationary subsonic compressible Euler flows with mass-additions in two-dimensional rectilinear ducts, subjected to suitable time-independent multi-dimensional boundary conditions…

Analysis of PDEs · Mathematics 2022-02-09 Junlei Gao , Hairong Yuan

We find the nonlinear conductance of a dissipative resonant level in the nonequilibrium steady state near its quantum critical point. The system consists of a spin-polarized quantum dot connected to two resistive leads that provide ohmic…

Mesoscale and Nanoscale Physics · Physics 2022-03-15 Gu Zhang , E. Novais , Harold U. Baranger