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We consider a finite dimensional quantum system $S$ in an arbitrary initial state coupled to an infinitely extended quantum thermal reservoir $R$ in equilibrium at inverse temperature $\beta$. The coupling is given by a bounded perturbation…

Mathematical Physics · Physics 2021-10-06 Jane Panangaden

Two types of arguments concerning (im)possibility of constructing a scalable, exponentially stable quantum memory equipped with Hamiltonian controls are discussed. The first type concerns ergodic properties of open Kitaev models which are…

Quantum Physics · Physics 2017-08-23 Robert Alicki

In the independent electron approximation, the average (energy/charge/entropy) current flowing through a finite sample S connected to two electronic reservoirs can be computed by scattering theoretic arguments which lead to the famous…

Spectral Theory · Mathematics 2015-06-11 Laurent Bruneau , Vojkan Jaksic , Yoram Last , Claude-Alain Pillet

A quantum limit of the thermoelectric efficiency for heterogeneous media with weak links is established with a use of the Landauer-type formulae.

Statistical Mechanics · Physics 2007-05-23 S. A. Ktitorov , V. K. Zaitsev , M. I. Fedorov

We consider two bottlenecks in quantum computing: limited memory size and noise caused by heat dissipation. Trying to optimize both, we investigate "on-the-go erasure" of quantum registers that are no longer needed for a given algorithm:…

Quantum Physics · Physics 2022-12-23 Florian Meier , Lídia del Rio

Energy transfer and information transmission are two fundamental aspects of nature. They are seemingly unrelated, while recent findings suggest that a deep connection between them is to be discovered. This amounts to asking: Can we phrase…

Quantum Physics · Physics 2025-02-07 Chung-Yun Hsieh

We demonstrate that quantum mechanics entails a fundamental lower bound on the thermalization time $\tau$ of any system. At finite temperature, we show that $\tau$ is bounded by half the Planckian dissipation time, $\tau \geq \tau_{\rm…

It is commonly recognized that the Landauer bound holds in (irreversible) quantum operations. In this study, we verified this bound by extracting a single spin from a spin-spin magnetic interaction experiment to demonstrate that the…

General Physics · Physics 2023-07-03 Frank Zhigang Wang

We study the entropy flux in the stationary state of a finite one-dimensional sample S connected at its left and right ends to two infinitely extended reservoirs at distinct temperatures T1, T2 and chemical potentials mu1, mu2. The sample…

Mathematical Physics · Physics 2013-08-28 Laurent Bruneau , Vojkan Jaksic , Claude-Alain Pillet

The heat current across a quantum harmonic system connected to reservoirs at different temperatures is given by the Landauer formula, in terms of an integral over phonon frequencies \omega, of the energy transmittance T(\omega). There are…

Statistical Mechanics · Physics 2015-06-04 Suman G. Das , Abhishek Dhar

We introduce a model for charge and heat transport based on the Landauer-Buttiker scattering approach. The system consists of a chain of $N$ quantum dots, each of them being coupled to a particle reservoir. Additionally, the left and right…

Mesoscale and Nanoscale Physics · Physics 2009-03-19 Philippe A. Jacquet

One of the fundamental laws of classical statistical physics is the energy equipartition theorem which states that for each degree of freedom the mean kinetic energy $E_k$ equals $E_k=k_B T/2$, where $k_B$ is the Boltzmann constant and $T$…

Statistical Mechanics · Physics 2021-03-25 P. Bialas , J. Spiechowicz , J. Luczka

The Landauer approach provides a conceptually simple way to calculate the intrinsic thermoelectric (TE) parameters of materials from the ballistic to the diffusive transport regime. This method relies on the calculation of the number of…

Mesoscale and Nanoscale Physics · Physics 2011-10-18 Abhijeet Paul , Shuaib Salamat , Changwook Jeong , Gerhard Klimeck , Mark Lundstrom

Considering a general microscopic model for a quantum measuring apparatus comprising a quantum probe coupled to a thermal bath, we analyze the energetic resources necessary for the realization of a quantum measurement, which includes the…

Quantum Physics · Physics 2025-01-29 Camille L Latune , Cyril Elouard

The reversible computation paradigm aims to provide a new foundation for general classical digital computing that is capable of circumventing the thermodynamic limits to the energy efficiency of the conventional, non-reversible digital…

Quantum Physics · Physics 2021-06-02 Michael P. Frank , Karpur Shukla

We consider the Non-Equilibrium Steady State induced by two infinite quantum thermal reservoirs at different temperatures and derive an inequality giving the upper bound of the work extracted by cyclic operations. This upper bound tends to…

Statistical Mechanics · Physics 2024-06-19 Kazuki Yamaga

Based on the Landauer-B\"{u}ttiker theory, we explore the thermal regimes of two-terminal nanoscale systems with an energy-peaked transmission function. The device is in contact with two reservoirs held at different temperatures and…

Mesoscale and Nanoscale Physics · Physics 2022-01-20 Giuseppe Bevilacqua , Alessandro Cresti , Giuseppe Grosso , Guido Menichetti , Giuseppe Pastori Parravicini

Typically, the von Neumann entropy of a subsystem increases until it plateaus at the thermal value. Under some circumstances, however, the intermediate value can dwarf the final value, even if the subsystem starts in a pure state. A famous…

Quantum Physics · Physics 2025-01-17 Jonas Glatthard

We speculate whether the second law of thermodynamics has more to do with Turing machines than steam pipes. It states the logical reversibility of reality as a computation, i.e., the fact that no information is forgotten: nature computes…

Quantum Physics · Physics 2018-10-15 Stefan Wolf

We generalize stochastic thermodynamics to include information reservoirs. Such information reservoirs, which can be modeled as a sequence of bits, modify the second law. For example, work extraction from a system in contact with a single…

Statistical Mechanics · Physics 2014-11-17 Andre C. Barato , Udo Seifert
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