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Time-dependent structures often appear in differential geometry, particularly in the study of non-autonomous differential equations on manifolds. One may study the geodesics associated with a time-dependent Riemannian metric by extremizing…

Differential Geometry · Mathematics 2026-01-21 Xavier Gràcia , Xavier Rivas , Daniel Torres

We propose to use a time-dependent imaginary potential to describe quantum mechanical tunneling through time-varying potential barriers. We use Gamow solutions for stationary tunneling problems to justify our choice of potential, and we…

Quantum Physics · Physics 2013-05-20 Christian Kraglund Andersen , Klaus Mølmer

Time-dependent quantum mechanics provides an intuitive picture of particle propagation in external fields. Semiclassical methods link the classical trajectories of particles with their quantum mechanical propagation. Many analytical results…

Mesoscale and Nanoscale Physics · Physics 2008-03-07 Tobias Kramer , Eric J. Heller , Robert E. Parrott

We study the non-interacting time-dependent resonant level model mimicking a driven quantum dot connected through leads to two electronic reservoirs held at different temperatures and electrochemical potentials. Using a scattering approach,…

Mesoscale and Nanoscale Physics · Physics 2023-04-21 Adel Kara Slimane , Geneviève Fleury

The characteristics of heat flow in a coupled magnetic system are studied. The coupled system is composed of a gapped chain and a gapless chain. The system size is assumed to be quite small so that the mean free path is comparable to it.…

Statistical Mechanics · Physics 2009-11-11 Keiji Saito

We propose a highly-scalable method to compute the statistics of charge transfer in driven conductors. The framework can be applied in situations of non-zero temperature, strong coupling to terminals and in the presence of non-periodic…

We study charge transport in a source-channel-drain system with a time-varying applied gate potential acting on the channel. We calculate both the current flowing from the source into the channel and out of the channel into the drain. The…

Mesoscale and Nanoscale Physics · Physics 2017-06-13 Eduardo C. Cuansing

We study the Josephson current 0-$\pi$ transition of a quantum dot tuned to the Kondo regime. The physics can be quantitatively captured by the numerically exact continuous time quantum Monte Carlo method applied to the single-impurity…

Strongly Correlated Electrons · Physics 2012-06-04 David J. Luitz , Fakher F. Assaad , Tomáš Novotný , Christoph Karrasch , Volker Meden

We study the effect of a strong electron-electron (e-e) interaction in a system of two concentric one-dimensional rings with incommensurate areas A_1 and A_2, coupled by a tunnel amplitude. For noninteracting particles the magnetic moment…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 C. M. Canali , W. Stephan , L. Y. Gorelik , R. I. Shekhter , M. Jonson

We consider the non-equilibrium ferromagnetic transition of a mesoscopic sample of a resistive Stoner ferromagnet coupled to two paramagnetic leads. The transition is controlled by either the lead temperature T or the transport voltage V…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Johann Kroha , Michael Arnold , Beate Griepernau

The formula derived by Meir and Wingreen [Phys. Rev. Lett. {\bf 68}, 2512 (1992)] for the electron current through a confined, central region containing interactions is generalized to the case of a nonorthogonal basis set. As in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Kristian S. Thygesen

Phase-coherent diffusive transport through mesoscopic hybrid superconductor/normal metal tunneling structures is investigated. For a N-s-S two-barrier tunneling system with bulk S and N electrodes coupled by a mesoscopic superconducting…

Superconductivity · Physics 2009-09-25 A. V. Zaitsev , A. F. Volkov , S. W. D. Bailey , C. J. Lambert

The electron tunneling through a molecular junction modeled by a single site weakly coupled to two leads is studied in the presence of a time-dependent external field using a master equation approach. In the case of small bias voltages and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Guangqi Li , Michael Schreiber , Ulrich Kleinekathoefer

Transport through zero-dimensional states in a tunneling barrier can occur via co-tunneling, wherein a carrier occupying a state outside the range of energies between the chemical potentials of the two leads hops to a lead, and within the…

Mesoscale and Nanoscale Physics · Physics 2025-09-03 Kian Maleki , Michael E. Flatté

A theory is presented for low-frequency current and voltage correlators of a mesoscopic conductor embedded in a macroscopic electromagnetic environment. This Keldysh field theory evaluated at its saddle-point provides the microscopic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Kindermann , Yu. V. Nazarov , C. W. J. Beenakker

Time-dependent nonequilibrium properties of a strongly correlated electron system driven by large electric fields is obtained by means of solving the time-dependent Schr\"odinger equation for the many-body wave function numerically in one…

Strongly Correlated Electrons · Physics 2009-11-10 Takashi Oka , Ryotaro Arita , Hideo Aoki

We consider the problem of a semiclassical description of quantum chaotic transport, when a tunnel barrier is present in one of the leads. Using a semiclassical approach formulated in terms of a matrix model, we obtain transport moments as…

Chaotic Dynamics · Physics 2022-07-06 Pedro H. S. Bento , Marcel Novaes

Electronic properties of heterostructures in which a finite number of Mott-insulator layers are sandwiched by semi-infinite metallic leads are investigated by using the dynamical-mean-field method combined with the Keldysh Green's function…

Strongly Correlated Electrons · Physics 2009-11-13 Satoshi Okamoto

We study a model of resonant multilead point-contact tunneling by using the boundary state formulation. At a critical point the model is described by multi-flavor chiral fermions on an infinite line with a point contact interaction at the…

Strongly Correlated Electrons · Physics 2017-03-08 Taejin Lee

We present a double quantum wire system containing a coupling element in the middle barrier between the two parallel quantum wires. We explicitly account for the finite length of the double quantum wire with a time-dependent switching-on…

Mesoscale and Nanoscale Physics · Physics 2010-11-30 Nzar Rauf Abdullah , Chi-Shung Tang , Vidar Gudmundsson