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Solutions to explicit time-dependent problems in quantum mechanics are rare. In fact, all known solutions are coupled to specific properties of the Hamiltonian and may be divided into two categories: One class consists of time-dependent…

Quantum Physics · Physics 2007-05-23 Tobias Kramer , Marcos Moshinsky

We present an analytical study of one-dimensional semiconductor superlattices in external electric fields, which may be time-dependent. A number of general results for the (quasi)energies and eigenstates are derived. An equation of motion…

Condensed Matter · Physics 2009-10-28 Jon Rotvig , Antti-Pekka Jauho , Henrik Smith

The possibility to inject a single electron into ballistic conductors is at the basis of the new field of electron quantum optics. Here, we consider a single electron injection into the helical edge channels of a topological insulator.…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Alessio Calzona , Matteo Acciai , Matteo Carrega , Fabio Cavaliere , Maura Sassetti

The influence of atomic interactions on time-dependent tunneling processes of Bose-Einstein condensates is investigated. In a variety of contexts the relevant condensate dynamics can be described by a Landau-Zener equation modified by the…

Condensed Matter · Physics 2009-10-31 O. Zobay , B. M. Garraway

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

We exploit a two-dimensional model [7], [6] and [1] describing the elastic behavior of the wall of a flexible blood vessel which takes interaction with surrounding muscle tissue and the 3D fluid flow into account. We study time periodic…

Analysis of PDEs · Mathematics 2021-07-28 V. Kozlov , S. Nazarov , G. Zavorokhin

By propagating the many-body Schr\"odinger equation, we determine the exact time-dependent Kohn-Sham potential for a system of strongly correlated electrons which undergo field-induced tunneling. Numerous features are entirely absent from…

Strongly Correlated Electrons · Physics 2021-01-15 Matthew J. P. Hodgson , James D. Ramsden , Jacob B. J. Chapman , Piers Lillystone , Rex W Godby

We study theoretically the electron transport in a 1D conductor adiabatically connected to a superconducting and normal metal leads. In the case of non-interacting we show that ac voltage applied along with dc voltage modifies I-V curve…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 P. P. Aseev , S. N. Artemenko

We study a mesoscopic metallic ring threaded by a magnetic flux which varies linearly in time PhiM(t)=Phi t with a formalism based in Baym-Kadanoff-Keldysh non-equilibrium Green functions. We propose a method to calculate the Green…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 L. Arrachea

The manuscript reports the observation of time dependent localized and non-propagating structures in the coupled laser plasma system through 1-D fluid and PIC simulations. It is reported that such structures form spontaneously as a result…

Plasma Physics · Physics 2018-01-17 Deepa Verma , Ratan Kumar Bera , Atul Kumar , Bhavesh Patel , Amita Das

We use a generalized Master equation (GME) formalism to describe the non-equilibrium time-dependent transport through a short quantum wire connected to semi-infinite biased leads. The contact strength between the leads and the wire are…

Mesoscale and Nanoscale Physics · Physics 2013-05-15 Kristinn Torfason , Andrei Manolescu , Valeriu Molodoveanu , Vidar Gudmundsson

It is shown that in a structure consisting of a superconducting ring-shaped electrode overlapped by a normal metal contact through a thin oxide barrier, measurements of the tunnel current in magnetic field can probe persistent currents in…

Superconductivity · Physics 2009-04-07 K. Yu. Arutyunov , T. T. Hongisto , D. Y. Vodolazov

The presence of bound states in a nanoscale electronic system attached to two biased, macroscopic electrodes is shown to give rise to persistent, non-decaying, localized current oscillations which can be much larger than the steady part of…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 E. Khosravi , G. Stefanucci , S. Kurth , E. K. U. Gross

We derive an expression for the rate of change of the energy of an interacting many-body system connected to macroscopic leads. We show that the energy variation is the sum of contributions from each different lead. Unlike the charge…

Strongly Correlated Electrons · Physics 2020-01-15 N. W. Talarico , S. Maniscalco , N. Lo Gullo

Spatio-temporal chaos is predicted to occur in n-doped semiconductor superlattices with sequential resonant tunneling as their main charge transport mechanism. Under dc voltage bias, undamped time-dependent oscillations of the current (due…

Condensed Matter · Physics 2009-10-28 O. M. Bulashenko , L. L. Bonilla

A unified theory of the temporal current self-oscillations is presented. We establish these oscillations as the manifestations of limit cycles, around unstable steady-state solutions caused by the negative differential conductance. This…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 X. R. Wang , Z. Z. Sun , S. Q. Duan , Shi-dong Wang

This work establishes a firm relationship between classical nonlinear resonances and the phenomenon of dynamical tunneling. It is shown that the classical phase space with its hierarchy of resonance islands completely characterizes…

Chaotic Dynamics · Physics 2007-07-31 Srihari Keshavamurthy

The ab-plane NIS-tunnelling conductance in d-wave superconductors shows a zero-bias conductance peak which is predicted to split in a magnetic field. In a pure d-wave superconductor the splitting is linear for fields small on the scale of…

Superconductivity · Physics 2009-02-13 M. Fogelstrom , D. Rainer , J. A. Sauls

We study the electron transport through a quantum wire under the influence of external time-dependent gate voltages. The wire is modelled by a tight-binding Hamiltonian for which we obtain the current from the corresponding transmission.…

Mesoscale and Nanoscale Physics · Physics 2009-04-25 Tomasz Kwapinski , Sigmund Kohler , Peter Hanggi

Recent experiments show oscillations of dominant period h/2e in conductance vs. magnetic flux of charge density wave (CDW) rings above 77 K, revealing macroscopically observable quantum behavior. The time-correlated soliton tunneling model…

Strongly Correlated Electrons · Physics 2013-04-11 J. H. Miller , A. I. Wijesinghe , Z. Tang , A. M. Guloy
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