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In this work we introduce and characterize a broad class of quantum operations with a unique fixed point, termed quantum ergodic channels. We derive Lindblad-type master equations for these channels in arbitrary finite dimensions and…

Quantum Physics · Physics 2025-03-18 Ritam Basu , Anish Chakraborty , Himanshu Badhani , Mir Alimuddin , Samyadeb Bhattacharya

We provide a versatile analytical framework for calculating the dynamics of a spin system in contact with a fermionic bath beyond the Markov approximation. The approach is based on a second order expansion of the Nakajima-Zwanzig master…

Mesoscale and Nanoscale Physics · Physics 2019-10-18 Stephanie Matern , Daniel Loss , Jelena Klinovaja , Bernd Braunecker

The usual paradigm of open quantum systems falls short when the environment is actually coupled to additional fields or components that drive it out of equilibrium. Here we explore the simplest such scenario, by considering a two level…

Quantum Physics · Physics 2020-09-08 Andreu Anglés-Castillo , Mari Carmen Bañuls , Armando Pérez , Inés De Vega

In this paper we aim to push the analogy between thermodynamics and quantum resource theories one step further. Previous inspirations were based predominantly on thermodynamic considerations concerning scenarios with a single heat bath,…

Quantum Physics · Physics 2024-01-10 Hanna Wojewódka-Ściążko , Zbigniew Puchała , Kamil Korzekwa

A linearized energy-balance model for global temperature is formulated, featuring a scale-free long-range memory (LRM) response and stochastic forcing representing the influence on the ocean heat reservoir from atmospheric weather systems.…

Atmospheric and Oceanic Physics · Physics 2015-06-16 Martin Rypdal , Kristoffer Rypdal

We investigate the thermodynamics of overdamped systems weakly driven by time-dependent protocols while interacting with viscoelastic heat baths. Using a generalized Langevin equation with memory, we derive the conditions under which the…

Statistical Mechanics · Physics 2025-10-22 Pierre Nazé , Fabricio Q. Potiguar

Understanding the thermal behavior of additive manufacturing (AM) processes is crucial for enhancing the quality control and enabling customized process design. Most purely physics-based computational models suffer from intensive…

Machine Learning · Computer Science 2023-01-20 Shuheng Liao , Tianju Xue , Jihoon Jeong , Samantha Webster , Kornel Ehmann , Jian Cao

Traditional thermodynamic trade-off relations usually apply to quantities that depend linearly on probability distributions. In contrast, many important information-theoretic measures, such as entropies, are nonlinear and therefore…

Statistical Mechanics · Physics 2026-02-17 Yoshihiko Hasegawa

Thermodynamics is a branch of science blessed by an unparalleled combination of generality of scope and formal simplicity. Based on few natural assumptions together with the four laws, it sets the boundaries between possible and impossible…

Quantum Physics · Physics 2014-02-06 Luis A. Correa , José P. Palao , Daniel Alonso , Gerardo Adesso

Passive filters allowing the exchange of particles in a narrow band of energy are currently used in micro-refrigerators and energy transducers. In this letter, we analyze their thermal properties using linear irreversible thermodynamics and…

Statistical Mechanics · Physics 2017-10-04 Ramón Muñoz-Tapia , Ricardo Brito , Juan M. R. Parrondo

Thermodynamics and information have intricate inter-relations. The justification of the fact that information is physical, is done by inter-linking information and thermodynamics - through Landauer's principle. This modern approach towards…

Quantum Physics · Physics 2018-05-29 Manabendra Nath Bera , Andreas Winter , Maciej Lewenstein

A procedure to obtain the dynamics of $N$ independent qudits ($d$-level systems) each interacting with its own reservoir, for any arbitrary initial state, is presented. This is then applied to study the dynamics of the entanglement of two…

Quantum Physics · Physics 2009-11-13 B. Bellomo , R. Lo Franco , G. Compagno

We explore the thermodynamics of quantum processes (quantum channels) by axiomatically introducing the free energy for channels, defined via the quantum relative entropy with an absolutely thermal channel whose fixed output is in…

Quantum Physics · Physics 2026-01-23 Himanshu Badhani , Dhanuja G. S. , Siddhartha Das

We present a simple model that recalls two different patterns depending on the temperature. To realize a change in recall pattern due to temperature change, we embed two patterns to different graphs: the first pattern into a fully connected…

Disordered Systems and Neural Networks · Physics 2026-02-25 Munetaka Sasaki

In his Comment [1], Philip Strasberg (PS) argues from the analysis of different examples that the framework we have presented in [2] does not recover known results of macroscopic textbook thermodynamics. Here, we show that such apparent…

Quantum Physics · Physics 2023-09-18 Cyril Elouard , Camille Lombard Latune

Realistic quantum mechanical systems are always exposed to an external environment. The presence of the environment often gives rise to a Markovian process in which the system loses information to its surroundings. However, many quantum…

We investigate a `pseudo thermalization' effect, where an open quantum system coupled to several non-Markovian reservoirs presents an emergent thermal behaviour in spite of its coupling to a non-equilibrated environment. The thermal…

Quantum Gases · Physics 2018-03-14 José Lebreuilly , Alessio Chiocchetta , Iacopo Carusotto

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

The thermodynamic framework of repeated interactions is generalized to an arbitrary open quantum system in contact with a heat bath. Based on these findings the theory is then extended to arbitrary measurements performed on the system. This…

Quantum Physics · Physics 2019-11-04 Philipp Strasberg

We present an example of a Thermal Process for a system of $d$ energy levels, which cannot be performed without an instant access to the whole energy space. This Thermal Process is uniquely connected with a transition between some states of…

Quantum Physics · Physics 2018-10-25 Paweł Mazurek , Michał Horodecki