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Reservoir computing (RC), a neural network designed for temporal data, enables efficient computation with low-cost training and direct physical implementation. Recently, quantum RC has opened new possibilities for conventional RC and…

Mesoscale and Nanoscale Physics · Physics 2025-11-05 Yecheng Jing , Pengfei Wang , Shuai Zhang , Zhoujie Zeng , Shi-Jun Liang , Wei Chen

The transfer tensor method is a versatile tool for analyzing and propagating general open quantum systems. It captures in a compact manner all memory effects in a non-Markovian system through a straightforward transformation of a set of…

Transport through correlated nanoscale systems underpins the operation of quantum-dot and molecular-scale devices, yet accurate simulations of large open quantum systems remain computationally challenging as system size increases.…

Mesoscale and Nanoscale Physics · Physics 2026-04-09 Maximilian Streitberger , Marko J. Rančić

We present explicit kinetic equations for quantum transport through a general molecular quantum-dot, accounting for all contributions up to 4th order perturbation theory in the tunneling Hamiltonian and the complete molecular density…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Leijnse , M. R. Wegewijs

The quantum transport formalism based on tight-binding models is known to be powerful in dealing with a wide range of open physical systems subject to external driving forces but is, at the same time, limited by the memory requirement's…

Mesoscale and Nanoscale Physics · Physics 2012-10-01 Ming-Hao Liu , Klaus Richter

We extend the Nakajima-Zwanzig projection operator technique to the determination of multitime correlation functions of open quantum systems. The correlation functions are expressed in terms of certain multitime homogeneous and…

Quantum Physics · Physics 2017-02-16 Anton Ivanov , Heinz-Peter Breuer

Quantum transport simulations are rapidly evolving and now encompass well-controlled tensor network techniques for many-body limits. One powerful approach combines matrix product states with extended reservoirs. In this method, continuous…

Mesoscale and Nanoscale Physics · Physics 2021-10-22 Gabriela Wojtowicz , Justin E. Elenewski , Marek M. Rams , Michael Zwolak

We show that dissipative transport and renormalization can be described in a single theoretical framework. The appropriate mathematical tool is the Nakajima-Zwanzig projection technique. We illustrate our result in the case of interacting…

Statistical Mechanics · Physics 2009-04-30 Jochen Rau

Nanoscale electronic transport is of intense technological interest, with applications ranging from semiconducting devices and molecular junctions to charge migration in biological systems. Most explicit theoretical approaches treat…

Mesoscale and Nanoscale Physics · Physics 2014-08-08 Justin E. Elenewski , Hanning Chen

Quantum trajectory methods can be used for a wide range of open quantum systems to solve the master equation by unraveling the density operator evolution into individual stochastic trajectories in Hilbert space. This C++ class library…

Quantum Physics · Physics 2009-10-30 Ruediger Schack , Todd A. Brun

Transport phenomena play a key role in a variety of application domains, and efficient simulation of these dynamics remains an outstanding challenge. While quantum computers offer potential for significant speedups, existing algorithms…

Quantum Physics · Physics 2026-02-04 Joseph Li , Gengzhi Yang , Jiaqi Leng , Xiaodi Wu

Unprecedented control over the manufacture of electronic devices on nanometer scale has allowed to perform highly controllable and fine-tuned experiments in the quantum regime where exotic effects can nowadays be measured. In quantum dot…

Strongly Correlated Electrons · Physics 2022-12-20 Emma L. Minarelli

Quantum computing promises to solve previously intractable problems, with neutral atoms emerging as a promising technology. Zoned neutral atom architectures allow for immense parallelism and higher coherence times by shielding idling atoms…

Quantum Physics · Physics 2026-01-15 Yannick Stade , Wan-Hsuan Lin , Jason Cong , Robert Wille

Particle transport and localization phenomena in condensed-matter systems can be modeled using a tight-binding lattice Hamiltonian. The ideal experimental emulation of such a model utilizes simultaneous, high-fidelity control and readout of…

We explore the near-term intersection of quantum computing with the transport sector. To support near-term integration, we introduce a framework for assessing the suitability of transport optimization problems for obtaining potential…

The simulation of quantum transport in a realistic, many-particle system is a nontrivial problem with no quantitatively satisfactory solution. While real-time propagation has the potential to overcome the shortcomings of conventional…

Mesoscale and Nanoscale Physics · Physics 2015-10-16 Justin E. Elenewski , Yanxiang Zhao , Hanning Chen

Quantum time evolution exhibits rich physics, attributable to the interplay between the density and phase of a wave function. However, unlike classical heat diffusion, the wave nature of quantum mechanics has not yet been extensively…

Quantum Physics · Physics 2018-08-08 Chenchao Zhao , Jun S. Song

Designing efficient cooling systems for integrated circuits (ICs) relies on a deep understanding of the electro-thermal properties of transistors. To shed light on this issue in currently fabricated FinFETs, a quantum mechanical solver…

Computational Engineering, Finance, and Science · Computer Science 2019-12-20 Alexandros Nikolaos Ziogas , Tal Ben-Nun , Guillermo Indalecio Fernández , Timo Schneider , Mathieu Luisier , Torsten Hoefler

The computational efficiency of a state of the art ab initio quantum transport (QT) solver, capable of revealing the coupled electro-thermal properties of atomically-resolved nano-transistors, has been improved by up to two orders of…

Computational Engineering, Finance, and Science · Computer Science 2019-12-23 Alexandros Nikolaos Ziogas , Tal Ben-Nun , Guillermo Indalecio Fernández , Timo Schneider , Mathieu Luisier , Torsten Hoefler

After the seminal work of R. Landauer in 1957 relating the electrical resistance of a conductor to its scattering properties, much progress has been made in our ability to predict the performance of electron devices in the DC (stationary)…

Mesoscale and Nanoscale Physics · Physics 2016-09-22 Guillermo Albareda , Damiano Marian , Abdelilah Benali , Alfonso Alarcón , Simeon Moises , Xavier Oriols
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