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We introduce a nonperturbative, first principles numerical approach for solving time-dependent problems in quantum field theory, using light-front quantization. As a first application we consider QED in a strong background field, and the…

Nuclear Theory · Physics 2013-09-19 Xingbo Zhao , Anton Ilderton , Pieter Maris , James P. Vary

We study the correlations of time delays in a model of chaotic resonance scattering based on the random matrix approach. Analytical formulae which are valid for arbitrary number of open channels and arbitrary coupling strength between…

chao-dyn · Physics 2015-06-24 N. Lehmann , D. V. Savin , V. V. Sokolov , H. -J. Sommers

For Lindblad's master equation of open quantum systems with a general quadratic form of the Hamiltonian, the propagator of the density matrix is analytically calculated by using path integral techniques. The time-dependent density matrix is…

Condensed Matter · Physics 2019-08-17 Yu. V. Palchikov , G. G. Adamian , N. V. Antonenko , W. Scheid

The propagation of electrons in static and uniform electromagnetic fields is a standard topic of classical electrodynamics. The Hamilton function is given by a quadratic polynomial in the positions and momenta. The corresponding…

Condensed Matter · Physics 2007-05-23 Tobias Kramer , Christian Bracher

We present non-perturbative solutions for multi-level quantum dot structures coupled to interacting one-dimensional electrodes out of equilibrium. At a special correlation strength the Hamiltonian can be mapped to the Kondo problem which…

Strongly Correlated Electrons · Physics 2009-11-10 A. Komnik , A. O. Gogolin

This work investigates the quantum transport in a narrow constriction acted upon by a finite-range transversely polarized time-dependent electric field. A generalized scattering-matrix method is developed that has incorporated a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. S. Tang , C. S. Chu

We explore the prospects to control by use of time-dependent fields quantum transport phenomena in nanoscale systems. In particular, we study for driven conductors the electron current and its noise properties. We review recent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sigmund Kohler , Jörg Lehmann , Peter Hänggi

The influence of charging effects on time-dependent transport in small semiconductor quantum dots with arbitrary level spectra is studied. Starting from an explicit time-dependent tunneling Hamiltonian, a non-Markovian Master equation is…

Condensed Matter · Physics 2009-10-22 C. Bruder , H. Schoeller

Statistics of tunneling rates in the presence of chaotic classical dynamics is discussed on a realistic example: a hydrogen atom placed in parallel uniform static electric and magnetic fields, where tunneling is followed by ionization along…

Chaotic Dynamics · Physics 2009-11-10 Dominique Delande , Jakub Zakrzewski

We demonstrate the operation of a quantum ratchet in the absence of dissipative processes within the observation time (Hamiltonian regime). An atomic rubidium Bose-Einstein condensate is exposed to a sawtooth-like optical lattice potential,…

We evaluate the joint distributions of electron waiting times in coherent conductors described by scattering theory. Successive electron waiting times in a single-channel conductor are found to be correlated due to the fermionic statistics…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 David Dasenbrook , Patrick P. Hofer , Christian Flindt

The transfer Hamiltonian tunneling current is derived in a time-dependent density matrix formulation and is used to examine photon-assisted tunneling. Bardeen's tunneling expression arises as the result of first order perturbation theory in…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Paul S. Davids , Joshua Shank

Scattering is an important phenomenon which is observed in systems ranging from the micro- to macroscale. In the context of nuclear reaction theory the Heidelberg approach was proposed and later demonstrated to be applicable to many chaotic…

We consider the time-dependent electron transport through a quantum dot coupled to two leads in the presence of the additional over-dot (bridge) tunneling channel. By using the evolution operator method together with the wide-band limit…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. Taranko , T. Kwapinski , E. Taranko

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

We study the resonant scattering for discrete time quantum walks on graphs with some tails. In our arguments, we reduce the study of resonances to the perturbation of eigenvalues of a finite rank matrix associated with the internal graph.…

Mathematical Physics · Physics 2026-05-14 Kenta Higuchi , Ryuta Ishikawa , Hisashi Morioka , Etsuo Segawa , Eijirou Yoshimura

In the framework of a random matrix description of chaotic quantum scattering the positions of $S-$matrix poles are given by complex eigenvalues $Z_i$ of an effective non-Hermitian random-matrix Hamiltonian. We put forward a conjecture on…

Condensed Matter · Physics 2009-10-31 Yan V. Fyodorov , Mikhail Titov , H. -J. Sommers

Evaluating the time-dependent dynamics of driven open quantum systems is relevant for a theoretical description of many systems, including molecular junctions, quantum dots, cavity-QED experiments, cold atoms experiments and more. Here, we…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Archak Purkayastha , Yonatan Dubi

We propose a new approach to calculate current and current correlations in a ballistic quantum point contact interacting with a classical field. The approach is based on the concept of scattering states for a time dependent Hamiltonian…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Y. Levinson , P. Woelfle

We follow the emergence of quantum entanglement in a scattering event between two initially uncorrelated distinguishable quantum particles interacting via a delta potential. We calculate the time dependence of the Neumann entropy of the…

Quantum Physics · Physics 2015-05-30 Mihaly G. Benedict , Judit Kovacs , Attila Czirjak
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