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Potential and mass barriers in graphene introduce electron scattering, modulating transmission probabilities. Complex multi-barrier setups allow electron transmission to be controlled with high precision, but have a huge design space of…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Leon Browne , Stephen R. Power

Describing dynamics of a quantum system coupled to a complex many-body environment is a ubiquitous problem in quantum science. General non-Markovian environments are characterized by their influence matrix~(IM) -- a multi-time tensor…

Quantum Physics · Physics 2024-08-06 Ilia A. Luchnikov , Michael Sonner , Dmitry A. Abanin

Quantum transport is strongly influenced by interference with phase relations that depend sensitively on the scattering medium. Since even small changes in the geometry of the medium can turn constructive interference to destructive, a…

Quantum Physics · Physics 2015-03-10 Stefano Mostarda , Federico Levi , Diego Prada-Gracia , Florian Mintert , Francesco Rao

The simulation of charge transport in ultra-scaled electronic devices requires the knowledge of the atomic configuration and the associated potential. Such "atomistic" device simulation is most commonly handled using a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 Maarten L. Van de Put , Massimo V. Fischetti , William G. Vandenberghe

The estimation of low energies of many-body systems is a cornerstone of computational quantum sciences. Variational quantum algorithms can be used to prepare ground states on pre-fault-tolerant quantum processors, but their lack of…

The multigroup neutron transport equations has been widely used to study the interactions of neutrons with their background materials in nuclear reactors. High-resolution simulations of the multigroup neutron transport equations using…

Numerical Analysis · Mathematics 2019-06-20 Fande Kong , Yaqi Wang , Derek R. Gaston , Alexander D. Lindsay , Cody J. Permann , Richard C. Martineau

Carrier transport in quantum networks is governed by a variety of factors, including network dimensionality and connectivity, on-site energies, couplings between sites and whether they are short- or long-range, leakage processes, and…

Quantum Physics · Physics 2026-02-13 Maggie Lawrence , Matthew Pocrnic , Erin Fung , Juan Carrasquilla , Erik M. Gauger , Dvira Segal

Open quantum systems host a wide range of intriguing phenomena, yet their simulation on well-controlled quantum devices is challenging, owing to the exponential growth of the Hilbert space and the inherently non-unitary nature of the…

The recognition that large classes of quantum many-body systems have limited entanglement in the ground and low-lying excited states led to dramatic advances in their numerical simulation via so-called tensor networks. However, global…

Strongly Correlated Electrons · Physics 2020-04-02 Marek M. Rams , Michael Zwolak

Generic 2D Hamiltonian systems possess partial barriers in their chaotic phase space that restrict classical transport. Quantum mechanically the transport is suppressed if Planck's constant h is large compared to the classical flux, h >>…

Mesoscopic quantum systems exhibit complex many-body quantum phenomena, where interactions between spins and charges give rise to collective modes and topological states. Even simple, non-interacting theories display a rich landscape of…

Mesoscale and Nanoscale Physics · Physics 2021-12-13 Abigail N. Poteshman , Evelyn Tang , Lia Papadopoulos , Danielle S. Bassett , Lee C. Bassett

In this work we provide a comprehensive review of theoretical and experimental studies of the properties of polarons formed by mobile impurities strongly interacting with quantum many-body systems. We present a unified perspective on the…

In this Chapter, we present recent theoretical developments on the finite temperature transport of one dimensional electronic and magnetic quantum systems as described by a variety of prototype models. In particular, we discuss the…

Strongly Correlated Electrons · Physics 2007-05-23 X. Zotos , P. Prelovsek

Polaron-transformed quantum master equation (PQME) offers a unified framework to describe the dynamics of quantum systems in both limits of weak and strong couplings to environmental degrees of freedom. Thus, PQME serves as an efficient…

Quantum Physics · Physics 2026-01-01 Seogjoo J. Jang

We consider single-particle quantum transport on parametrized complex networks. Based on general arguments regarding the spectrum of the corresponding Hamiltonian, we derive bounds for a measure of the global transport efficiency defined by…

Quantum Physics · Physics 2015-09-18 Nikolaj Kulvelis , Maxim Dolgushev , Oliver Muelken

Quantum annealing is a computational paradigm in which optimisation problems are mapped onto the energy landscape of an interacting quantum system and explored through its dynamical evolution. By continuously transforming a simple initial…

Quantum Physics · Physics 2026-05-11 Steven Abel , Andrei Constantin , Luca A. Nutricati

We show that the entanglement structure of quantum many-body states defines a natural and optimal distributed representation for their simulation. An arbitrary entanglement cut induces a bipartite decomposition of the wavefunction, mapping…

Quantum Physics · Physics 2026-05-11 Adriano Amaricci

Through periodic Training we can gradually buildup a reproducible responses in a disordered system where plasticity dominates over elasticity as is known in classical amorphous materials and soft matter 1, 6. Here we show that a similar…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Madhuri Mukhopadhyay

We consider transport through finite quantum systems such as quantum barriers, wells, dots or junctions, coupled to local vibrational modes in the quantal regime. As a generic model we study the Holstein-Hubbard Hamiltonian with…

Strongly Correlated Electrons · Physics 2009-11-13 H. Fehske , G. Wellein , J. Loos , A. R. Bishop

Transport phenomena at the nanoscale are of interest due to the presence of both quantum and classical behavior. In this work, we demonstrate that quantum transport efficiency can be enhanced by a dynamical interplay of the system…

Quantum Physics · Physics 2009-05-22 Patrick Rebentrost , Masoud Mohseni , Ivan Kassal , Seth Lloyd , Alán Aspuru-Guzik