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The thermodynamic uncertainty relation (TUR) imposes a fundamental constraint between current fluctuations and entropy production, providing a refined formulation of the second law for micro- and nanoscale systems. Quantum violations of the…

Quantum Physics · Physics 2026-01-28 Yang Li , Fu-Lin Zhang

We analyze the performance of a quantum Otto cycle, employing time-dependent harmonic oscillator as the working fluid undergoing sudden expansion and compression strokes during the adiabatic stages, coupled to a squeezed reservoir. First,…

Quantum Physics · Physics 2021-01-04 Varinder Singh , Özgür E. Müstecaplıoğlu

A cost-precision trade-off relationship, the so-called thermodynamic uncertainty relation (TUR), has been recently discovered in stochastic thermodynamics. It bounds certain thermodynamic observables in terms of the associated entropy…

Statistical Mechanics · Physics 2020-05-27 Soham Pal , Sushant Saryal , Dvira Segal , T. S. Mahesh , Bijay Kumar Agarwalla

The dynamics of a qubit in two different environments are investigated theoretically. The first environment is a two level system coupled to a bosonic bath. And the second one is a damped harmonic oscillator. Based on a unitary…

Quantum Physics · Physics 2013-11-05 Peihao Huang , Hang Zheng

We study dynamic cooling, where an externally driven two-level system is cooled via reservoir, a quantum system with initial canonical equilibrium state. We obtain explicitly the minimal possible temperature $T_{\rm min}>0$ reachable for…

Statistical Mechanics · Physics 2015-05-28 Armen E. Allahverdyan , Karen V. Hovhannisyan , Dominik Janzing , Guenter Mahler

Optimal (reversible) processes in thermodynamics can be modelled as step-by-step processes, where the system is successively thermalized with respect to different Hamiltonians by an external thermal bath. However, in practice interactions…

An exact reduced dynamical map along with its operator sum representation is derived for a central spin interacting with a thermal spin environment. The dynamics of the central spin shows high sustainability of quantum traits such as…

Quantum Physics · Physics 2017-11-23 Chiranjib Mukhopadhyay , Samyadeb Bhattacharya , Avijit Misra , Arun Kumar Pati

Cooling quantum systems is arguably one of the most important thermodynamic tasks connected to modern quantum technologies and an interesting question from a foundational perspective. It is thus of no surprise that many different…

We introduce a class of thermal operations based on the collision model, where the system sequentially interacts with uncorrelated bath molecules via energy-preserving unitaries. To ensure finite complexity, each molecule is constrained to…

Quantum Physics · Physics 2025-12-11 Xueyuan Hu , Valerio Scarani

Accurate temperature estimation in the quantum and cryogenic regimes remains a fundamental challenge. Here, we investigate nonequilibrium quantum thermometry using a single-qubit probe coupled to a bosonic bath through noncommuting…

Quantum Physics · Physics 2025-12-23 Youssef Aiache , Abderrahim El Allati , İlkay Demir , Khadija El Anouz

A consequence of the Second Law of thermodynamics is that no thermodynamic system with a single heat source at constant temperature can convert heat into mechanical work in a recurrent manner. First we note that this is equivalent to…

Optimization and Control · Mathematics 2020-06-30 Arjan van der Schaft , Dimitri Jeltsema

We present a theoretical study of the optimal control of a qubit interacting with a structured environment. We consider a model system in which the bath is a bosonic reservoir at zero temperature and the qubit frequency is the only control…

Quantum Physics · Physics 2022-10-04 Quentin Ansel , Jonas Fischer , Dominique Sugny , Bruno Bellomo

The Shannon's bound for compression is one of the key restrictions for the compression of quantum information. Here we show that the unitarity of the compression operation imposes new bounds on the compression that are more limiting than…

Quantum Physics · Physics 2021-07-16 Sadegh Raeisi

We study the possibility of taking bosonic systems subject to quadratic Hamiltonians and a noisy thermal environment to non-classical stationary states by feedback loops based on weak measurements and conditioned linear driving. We derive…

Quantum Physics · Physics 2013-04-30 Marco G. Genoni , Stefano Mancini , Alessio Serafini

Recent studies have investigated the role of entanglement in the operation of a two-qubit system as a heat engine, showing that work can be extracted from a single heat bath without direct heat dissipation between the two-qubit system and…

Quantum Physics · Physics 2025-02-10 Hachem Tarif , Abdallah Slaoui , Rachid Ahl Laamara

On the basis of a macroscopic ground state population it was argued recently that Bose-Einstein condensation should occur in a one-dimensional harmonic potential. We examine this situation by drawing analogies to Bosons in a two-dimensional…

Statistical Mechanics · Physics 2009-10-25 Gert-Ludwig Ingold , Astrid Lambrecht

We present the general theory of a quantum heat machine based on an $N$-level system (working medium) whose $N-1$ excited levels are degenerate, a prerequisite for steady-state interlevel coherence. Our goal is to find out: To what extent…

Quantum Physics · Physics 2015-10-14 Wolfgang Niedenzu , David Gelbwaser-Klimovsky , Gershon Kurizki

We investigate the thermodynamic limits on scaling fault-tolerant quantum computers due to heating from quantum error correction (QEC). Quantum computers require error correction, which accounts for 99.9% of the qubit demand and generates…

Quantum Physics · Physics 2025-01-03 Mykhailo Bilokur , Sarang Gopalakrishnan , Shayan Majidy

We explore the dependence of the performance bounds of heat engines and refrigerators on the initial quantum state and the subsequent evolution of their piston, modeled by a quantized harmonic oscillator. Our goal is to provide a fully…

Quantum Physics · Physics 2015-06-17 David Gelbwaser-Klimovsky , Gershon Kurizki

According to the second law, the efficiency of cyclic heat engines is limited by the Carnot bound that is attained by engines that operate between two thermal baths under the reversibility condition whereby the total entropy does not…

Quantum Physics · Physics 2018-01-12 Wolfgang Niedenzu , Victor Mukherjee , Arnab Ghosh , Abraham G. Kofman , Gershon Kurizki