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We study the transition probabilities of a two-point measurement on a quantum system, initially prepared in a thermal state. We find two independent constraints on the difference between transition probabilities when the system is prepared…

Mesoscale and Nanoscale Physics · Physics 2025-05-20 Ludovico Tesser , Matteo Acciai , Christian Spånslätt , Inès Safi , Janine Splettstoesser

The dispersion coefficient of the constant phase element (CPE) is typically treated as an empirical fitting parameter in the analysis of impedance spectroscopy data, with no clear physical meaning. Here we seek to establish a energy-based…

Applied Physics · Physics 2025-10-22 Anis Allagui , Enrique H. Balaguera , Ahmed Elwakil

We consider how charging performances of a quantum battery, modeled as a two-level system, are influenced by the presence of vacuum fluctuations of a quantum field satisfying the Dirichlet, transparent, and Neumann boundary conditions in…

High Energy Physics - Theory · Physics 2025-05-13 Zehua Tian , Xiaobao Liu , Jieci Wang , Jiliang Jing

We show that the time evolution of an open quantum system, described by a possibly time dependent Liouvillian, can be simulated by a unitary quantum circuit of a size scaling polynomially in the simulation time and the size of the system.…

Quantum Physics · Physics 2011-12-23 M. Kliesch , T. Barthel , C. Gogolin , M. Kastoryano , J. Eisert

The concept of weak invariants is examined in the thermodynamic context. Discussions are made about the temporally-local equilibrium states, corrections to them, and isoenergetic processes based on the quantum master equations of the…

Statistical Mechanics · Physics 2019-05-06 Congjie Ou , Sumiyoshi Abe

We define the heat capacity for steady periodically driven systems and as an example we compute it for dissipative two-level systems where the energy gap is time-modulated. There, as a function of ambient temperature, the Schottky peak…

Statistical Mechanics · Physics 2024-08-27 Elena Rufeil Fiori , Christian Maes

We investigate the ability of a homogeneous collection of deferrable energy loads to behave as a battery; that is, to absorb and release energy in a controllable fashion up to fixed and predetermined limits on volume, charge rate and…

Systems and Control · Computer Science 2016-10-07 Daria Madjidian , Mardavij Roozbehani , Munther A. Dahleh

Temporal modulation unlocks possibilities to dynamically control and modify the response of electromagnetic systems. Employing explicit dependencies of circuit or surface parameters on time enables the engineering of systems with…

Systems and Control · Electrical Eng. & Systems 2023-03-01 Grigorii Ptitcyn , Mohammad Sajjad Mirmoosa , Silvi Hrabar , Sergey Tretyakov

We study port-Hamiltonian systems with two external ports, and the strategies and limitations for conversion of energy from one port into the other. It turns out that, apart from the cyclo-passivity of port-Hamiltonian systems, this is…

Optimization and Control · Mathematics 2021-03-17 Arjan Van der Schaft , Dimitri Jeltsema

While Carnot's model engines demonstrate ideal performances regarding conversion efficiency, they cannot be actually used as energy converters since they are non causal systems. Such an unphysical behavior indeed restrains the working…

Statistical Mechanics · Physics 2016-12-15 Y. Apertet

The efficiency and cooling power of a two-terminal thermoelectric refrigerator are analyzed near the limit of vanishing dissipation (ideal system), where the optimal efficiency is the Carnot one, but the cooling power then unfortunately…

Mesoscale and Nanoscale Physics · Physics 2014-01-22 O. Entin-Wohlman , J-H Jiang , Y. Imry

Topological insulator field-effect transistors (TIFETs) built on 2-D quantum spin Hall insulators are being considered as advanced logic transistors due to their potentially superior performance originating from the dissipationless edge…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Yungyeong Park , Yosep Park , Hyeonseok Choi , Subeen Lim , Dongwook Kim , Yeonghun Lee

We introduce a new concept of dissipative varifold solution to models of two phase compressible viscous fluids. In contrast with the existing approach based on the Young measure description, the new formulation is variational combining the…

Analysis of PDEs · Mathematics 2021-07-02 Eduard Feireisl , Antonin Novotny

Batteries are playing an increasingly central role as distributed energy resources in the shift toward power systems dominated by renewable energy sources. However, existing battery models must invariably rely on complementarity constraints…

Optimization and Control · Mathematics 2025-06-27 Juan M. Morales

We reveal a new face of the old clich\'ed system: a dissipative quantum harmonic oscillator. We formulate and study a quantum counterpart of the energy equipartition theorem satisfied for classical systems.Both mean kinetic energy $E_k$ and…

Statistical Mechanics · Physics 2019-04-17 P. Bialas , J. Spiechowicz , J. Łuczka

We study here dissipative properties of systems composed of two components one of which is highly lossy and the other is lossless. A principal result of our studies is that all the eigenmodes of such a system split into two distinct classes…

Mathematical Physics · Physics 2015-06-03 Alexander Figotin , Aaron Welters

Dissipative adaptation is a general thermodynamic mechanism that explains self-organization in a broad class of driven classical many-body systems. It establishes how the most likely (adapted) states of a system subjected to a given drive…

Quantum Physics · Physics 2021-11-17 Daniel Valente , Frederico Brito , Thiago Werlang

On the one hand, the dissipated heat of a thermodynamic work extraction process upper bounds the non-predictive information, which the associated system encodes about its environment. Thus, emergent information processing capabilities can…

Neurons and Cognition · Quantitative Biology 2020-09-10 Kai Ueltzhöffer

The strong coupling between electronic transport in a single-level quantum dot and a capacitively coupled nano-mechanical oscillator may lead to a transition towards a mechanically-bistable and blocked-current state. Its observation is at…

Mesoscale and Nanoscale Physics · Physics 2016-09-28 G Micchi , Rémi Avriller , F Pistolesi

We consider a time-dependent two-level quantum system interacting with a free Boson reservoir. The coupling is energy conserving and depends slowly on time, as does the system Hamiltonian, with a common adiabatic parameter $\varepsilon$.…

Mathematical Physics · Physics 2020-10-28 Alain Joye , Marco Merkli , Dominique Spehner