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Nanoelectronics devices, such as quantum dot systems or single-molecule transistors, consist of a quantum nanostructure coupled to a macroscopic external electronic circuit. Thermoelectric transport between source and drain leads is…

Strongly Correlated Electrons · Physics 2022-09-05 Emma L. Minarelli , Jonas B. Rigo , Andrew K. Mitchell

Fluctuation dissipation theorems connect the linear response of a physical system to a perturbation to the steady-state correlation functions. Until now, most of these theorems have been derived for finite-dimensional systems. However, many…

Statistical Mechanics · Physics 2019-08-22 Mohammad Mehboudi , Juan. M. R. Parrondo , Antonio Acin

We develop a general stochastic thermodynamics of RLC electrical networks built on top of a graph-theoretical representation of the dynamics commonly used by engineers. The network is: open, as it contains resistors and current and voltage…

Quantum Physics · Physics 2020-07-15 Nahuel Freitas , Jean-Charles Delvenne , Massimiliano Esposito

Simulating quantum dynamics of lattice gauge theories (LGTs) is an exciting frontier in quantum science. Programmable quantum simulators based on neutral atom arrays are a promising approach to achieve this goal, since strong Rydberg…

Quantum Physics · Physics 2024-08-07 Johannes Feldmeier , Nishad Maskara , Nazlı Uğur Köylüoğlu , Mikhail D. Lukin

The density linear response function for an inhomogeneous system of electrons in equilibrium with an array of fixed ions is considered. Two routes to its evaluation for extreme conditions (e.g., warm dense matter) are considered. The first…

Statistical Mechanics · Physics 2018-09-12 James Dufty , Kai Luo , S. B. Trickey

Energy-transport equations for the transport of fermions in optical lattices are formally derived from a Boltzmann transport equation with a periodic lattice potential in the diffusive limit. The limit model possesses a formal gradient-flow…

Analysis of PDEs · Mathematics 2017-04-11 Marcel Braukhoff , Ansgar Jüngel

We propose a self-validating scheme to calculate the unbiased responses of quantum many-body systems to external fields of arbibraty strength at any temperature. By switching on a specified field to a thermal pure quantum state of an…

Statistical Mechanics · Physics 2018-11-30 Hiroyuki Endo , Chisa Hotta , Akira Shimizu

Linear response theory lies at the foundation of transport phenomena, predicting that physical systems respond proportionally to weak external forces. Here we show that this principle can break down in a minimal nonequilibrium setting due…

Statistical Mechanics · Physics 2026-03-17 Yuto Takeishi , Takuma Akimoto

This Report discusses a recently developed concept of Limiting Phase Trajectories (LPTs) providing a unified description of resonant energy transport in a wide range of classical and quantum dynamical systems with constant and time-varying…

Pattern Formation and Solitons · Physics 2016-05-31 Leonid Manevitch , Agnessa Kovaleva , Yuli Starosvetsky

Linear response theory asserts that sufficiently small external biases produce currents proportional to the applied force and forms the theoretical foundation of nonequilibrium transport. Here we demonstrate that linear response can break…

Chaotic Dynamics · Physics 2026-03-05 Vinesh Vijayan , Priyadharshini B , Santhoshbalaji M , Mohanasundari M

We determine the nonlinear time-dependent response of a tracer on a lattice with randomly distributed hard obstacles as a force is switched on. The calculation is exact to first order in the obstacle density and holds for arbitrarily large…

Statistical Mechanics · Physics 2013-11-07 Sebastian Leitmann , Thomas Franosch

Extended reservoirs provide a framework for capturing macroscopic, continuum environments, such as metallic electrodes driving a current through a nanoscale contact, impurity, or material. We examine the application of this approach to…

Mesoscale and Nanoscale Physics · Physics 2023-07-11 Bitan De , Gabriela Wojtowicz , Jakub Zakrzewski , Michael Zwolak , Marek M. Rams

We calculate the linear response conductance of electrons in a Luttinger liquid with arbitrary interaction g_2, and subject to a potential barrier of arbitrary strength, as a function of temperature. We first map the Hamiltonian in the…

Strongly Correlated Electrons · Physics 2008-04-18 D. N. Aristov , P. Woelfle

The Laplace transform theory violates a very fundamental requirement of all engineering systems. We show that this theory assumes that all signals must exist over infinite time interval. Since in engineering this infinite time assumption is…

Optimization and Control · Mathematics 2011-01-25 Subhendu Das

We study the heating time in periodically driven $D$-dimensional systems with interactions that decay with the distance $r$ as a power-law $1/r^\alpha$. Using linear response theory, we show that the heating time is exponentially long as a…

The microwave absorption and noise caused by quantum two-level systems (TLS) dramatically suppress the coherence in Josephson junction qubits that are promising candidates for a quantum information applications. Microwave absorption by TLSs…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Alexander L. Burin , Andrii O. Maksymov

Periodically driven coherent conductors provide a universal platform for the development of quantum transport devices. Here, we lay down a comprehensive theory to describe the thermodynamics of these systems. We first focus on moderate…

Mesoscale and Nanoscale Physics · Physics 2021-04-15 Elina Potanina , Christian Flindt , Michael Moskalets , Kay Brandner

The formalism of linear response theory can be extended to encompass physical situations where an open quantum system evolves towards a non-equilibrium steady-state. Here, we use the framework put forward by Konopik and Lutz [Phys. Rev.…

Quantum Physics · Physics 2024-02-14 Sherry Blair , Giorgio Zicari , Alessio Belenchia , Alessandro Ferraro , Mauro Paternostro

The characterization of quantum critical phenomena is pivotal for the understanding and harnessing of quantum many-body physics. However, their complexity makes the inference of such fundamental processes difficult. Thus, efficient and…

Quantum Physics · Physics 2022-04-27 Ricardo Puebla , Alessio Belenchia , Giulio Gasbarri , Eric Lutz , Mauro Paternostro

We introduce a numerically exact and computationally feasible nonlinear-response theory developed for lossy superconducting quantum circuits based on a framework of quantum dissipation in a minimally extended state space. Starting from the…

Quantum Physics · Physics 2025-03-27 V. Vadimov , M. Xu , J. T. Stockburger , J. Ankerhold , M. Möttönen