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We analyze the time-dependent solution of master equations by exploiting fermionic duality, a dissipative symmetry applicable to a large class of open systems describing quantum transport. Whereas previous studies mostly exploited duality…

Mesoscale and Nanoscale Physics · Physics 2023-05-03 Lara C. Ortmanns , Maarten R. Wegewijs , Janine Splettstoesser

We have investigated the dynamics of bound particles in multilevel current-carrying quantum dots. We look specifically in the regime of resonant tunnelling transport, where several channels are available for transport. Through a…

Mesoscale and Nanoscale Physics · Physics 2008-06-15 Eduardo Vaz , Jordan Kyriakidis

We bring together the semiclassical approximation, matrix integrals and the theory of symmetric polynomials in order to solve a long standing problem in the field of quantum chaos: to compute transport moments when tunnel barriers are…

Mesoscale and Nanoscale Physics · Physics 2022-07-04 Lucas H. Oliveira , Pedro H. S. Bento , Marcel Novaes

Thermal transport through a Coulomb-blockade quantum dot (QD) coupled to two metallic leads is studied using five different approaches to the master equation in which sequential and coutuneling terms are taken into account. In the presence…

Mesoscale and Nanoscale Physics · Physics 2022-04-05 Taha Yasin Ahmed , Nzar Rauf Abdullah , Vidar Gudmundsson

Driven two-level system is a useful model to describe many quantum objects, particularly in quantum information processing. However, the exact master equation for such a system is barely explored. Making use of the Feynman-Vernon influence…

Quantum Physics · Physics 2015-06-22 H. Z. Shen , M. Qin , Xiao-Ming Xiu , X. X. Yi

The path integral approach offers not only an exact expression for the non- equilibrium dynamics of dissipative quantum systems, but is also a convenient starting point for perturbative treatments. An alternative way to explore the…

Statistical Mechanics · Physics 2022-09-21 Joachim Ankerhold

Recently observed Aharonov-Bohm quantum interference of period h/2e in charge density wave rings strongly suggest that correlated density wave electron transport is a cooperative quantum phenomenon. The picture discussed here posits that…

Strongly Correlated Electrons · Physics 2015-05-30 J. H. Miller , A. I. Wijesinghe , Z. Tang , A. M. Guloy

We theoretically consider charge transport through two quantum dots coupled in series. The corresponding full counting statistics for noninteracting electrons is investigated in the limits of sequential and coherent tunneling by means of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 G. Kiesslich , P. Samuelsson , A. Wacker , E. Schoell

Transport in open quantum systems can be explored through various theoretical frameworks, including the quantum master equation, scattering matrix, and Heisenberg equation of motion. The choice of framework depends on factors such as the…

Quantum Physics · Physics 2024-11-14 Gianmichele Blasi , Shishir Khandelwal , Géraldine Haack

We consider a molecular aggregate consisting of $N$ identical monomers. Each monomer comprises two electronic levels and a single harmonic mode. The monomers interact with each other via dipole-dipole forces. The monomer vibrational modes…

Statistical Mechanics · Physics 2012-04-12 Maxim F. Gelin , Dassia Egorova , Wolfgang Domcke

We consider an open quantum many-particle system in which there are dissipative processes. The evolution of this system is described by a kinetic equation for the density matrix. From the equation describing a random Markov process in this…

General Physics · Physics 2013-02-25 Boris Bondarev

Quantum master equations are widely used to describe the dynamics of open quantum systems. All these different master equations rely on specific approximations that may or may not be justified. Starting from a microscopic model, applying…

We discuss recent findings about properties of quantum nonequilibrium steady states. In particular we focus on transport properties. It is shown that the time dependent density matrix renormalization method can be used successfully to find…

Quantum Physics · Physics 2011-11-15 Marko Znidaric

We theoretically investigate resonant tunneling through a linear array of quantum dots with subsequent tunnel coupling. We consider two limiting cases: (i) strong Coulomb blockade, where only one extra electron can be present in the array…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. R. Wegewijs , Yu. V. Nazarov

The Ohmic conductance and current through two quantum dots in series is investigated for the case of incoherent tunnelling. A generalised master equation is employed to include the discrete nature of the energy levels. Regions of negative…

Condensed Matter · Physics 2009-10-28 P. Pals , A. MacKinnon

Full counting statistics of electron transport is a powerful diagnostic tool for probing the nature of quantum transport beyond what is obtainable from the average current or conductance measurement alone. In particular, the non-Markovian…

Mesoscale and Nanoscale Physics · Physics 2015-02-12 Hai-Bin Xue , Hu-Jun Jiao , Jiu-Qing Liang , Wu-Ming Liu

Periodic driving of quantum dots is analyzed as a basis for developing dynamic switching devices. We study transport through periodically modulated energy levels which are coupled to leads via tunneling coefficients. Utilizing Floquet…

Mesoscale and Nanoscale Physics · Physics 2025-09-10 Jan Mathis Giesen , Daniel Weber , Sebastian Eggert

We describe linear and nonlinear transport across a single impurity Anderson model quantum dot with intermediate coupling to the leads, i.e., with tunnel coupling of the order of the thermal energy k_B T. The coupling is large enough that…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Johannes Kern , Milena Grifoni

Coulomb coupled quantum dot arrays with staircase ground state configuration have been proposed in literature for enhancing heat-harvesting and refrigeration performance. However, due to their mutual Coulomb interaction, a performance…

Applied Physics · Physics 2020-08-05 Aniket Singha

We formulate a quantum master equation for the many-particle density matrix of electrons propagating through a single-mode conductor, combining elastic scattering by disorder with time-resolved projective measurements that monitor the…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 J. Sánchez Fernán , J. Tworzydło , C. W. J. Beenakker