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We establish that entropy production, which is crucial to the characterization of thermodynamic irreversibility, is obtained through a variational principle involving the Kulback-Leibler divergence. A simple application of this…

统计力学 · 物理学 2021-03-11 Naoto Shiraishi , Keiji Saito

Quantitative measure of disorder or randomness based on the entropy production characterizes thermodynamical irreversibility, which is relevant to the conventional second law of thermodynamics. Here we report, in a quantum mechanical…

量子物理 · 物理学 2020-07-07 J. W. Zhang , K. Rehan , M. Li , J. C. Li , L. Chen , S. -L. Su , L. -L. Yan , F. Zhou , M. Feng

Landauer's principle provides a perspective on the physical meaning of information as well as on the minimum working cost of information processing. Whereas most studies have related the decrease in entropy during a computationally…

量子物理 · 物理学 2020-06-18 Kazunari Hashimoto , Bassano Vacchini , Chikako Uchiyama

We establish a general lower bound for the entropy production rate (EPR) based on the Kullback-Leibler divergence and the Logarithmic-Sobolev constant that characterizes the time-scale of relaxation. This bound can be considered as an…

统计力学 · 物理学 2025-10-31 Ruicheng Bao , Chaoqun Du , Zhiyu Cao , Zhonghuai Hou

Entropy production quantifies the amount of irreversibility of a physical process, leading to fundamental bounds for thermodynamic quantities. It captures the inability to run a physical system forward and then backward, bringing it to the…

The emergence of irreversibility in physical processes, despite the fundamentally reversible nature of quantum mechanics, remains an open question in physics. This thesis explores the intricate relationship between quantum mechanics and…

量子物理 · 物理学 2024-10-25 Alberto Rolandi

We prove a lower bound on the relative entropy between two finite-dimensional states in terms of their entropy difference and the dimension of the underlying space. The inequality is tight in the sense that equality can be attained for any…

量子物理 · 物理学 2015-03-16 David Reeb , Michael M. Wolf

The entropy production rate is a key quantity in non-equilibrium thermodynamics of both classical and quantum processes. No universal theory of entropy production is available to date, which hinders progress towards its full grasping. By…

量子物理 · 物理学 2020-12-18 Alessio Belenchia , Luca Mancino , Gabriel T. Landi , Mauro Paternostro

We address the emergence of entropy production in the non-equilibrium process of an open quantum system from the viewpoint of the environment. By making use of a dilation-based approach akin to Stinespring theorem, we derive an expression…

New exact results about the nonequilibrium thermodynamics of open quantum systems at arbitrary timescales are obtained by considering all possible variations of initial conditions of a system, its environment, and correlations between them.…

统计力学 · 物理学 2021-05-05 Paul M. Riechers , Mile Gu

Various quantum thermodynamic bounds are shown to stem from a single tighter and more general inequality, consequence of the operator concavity of the logarithmic function. Such an inequality, which we call the "thermodynamic reverse…

统计力学 · 物理学 2020-10-15 Francesco Buscemi , Daichi Fujiwara , Naoki Mitsui , Marcello Rotondo

Entropy production is a key quantity in any finite-time thermodynamic process. It is intimately tied with the fundamental laws of thermodynamics, embodying a tool to extend thermodynamic considerations all the way to non-equilibrium…

量子物理 · 物理学 2022-02-08 Gabriel T. Landi , Mauro Paternostro

Irreversible entropy production (IEP) plays an important role in quantum thermodynamic processes. Here we investigate the geometrical bounds of IEP in nonequilibrium thermodynamics by exemplifying a system coupled to a squeezed thermal bath…

量子物理 · 物理学 2023-01-25 Chen-Juan Zou , Yue Li , Jia-Bin You , Qiong Chen , Wan-Li Yang , Mang Feng

We derive geometrical bounds on the irreversibility in both quantum and classical Markovian open systems that satisfy the detailed balance condition. Using information geometry, we prove that irreversible entropy production is bounded from…

统计力学 · 物理学 2021-01-05 Tan Van Vu , Yoshihiko Hasegawa

We study thermodynamic limits when controllers operate with only partial observability of internal correlations in multipartite systems. Understanding the costs imposed by lack of information is crucial in settings where agents must act…

统计力学 · 物理学 2025-09-25 Akihito Sudo

We develop a general theory describing the thermodynamical behavior of open quantum systems coupled to thermal baths beyond perturbation theory. Our approach is based on the exact time-local quantum master equation for the reduced open…

量子物理 · 物理学 2022-05-31 Alessandra Colla , Heinz-Peter Breuer

Irreversibility is a fundamental concept with important implications at many levels. It pinpoints the fundamental difference between the intrinsically reversible microscopic equations of motion and the unidirectional arrow of time that…

量子物理 · 物理学 2019-05-01 T. B. Batalhao , S. Gherardini , J. P. Santos , G. T. Landi , M. Paternostro

Entropy production is a fundamental concept that plays a crucial role in the second law of thermodynamics and the measure of irreversibility. It imposes rigorous constraints on the kinds of transformations allowed in thermodynamic…

The work done when a system at thermal equilibrium is externally driven by a unitary control parameter leads to irreversible entropy production. The entropy produced can be thought of as a combination of coherence generation and a…

量子物理 · 物理学 2024-12-30 Krishna Shende , Kavita Dorai , Arvind

In quantum thermodynamics, entropy production is usually defined in terms of the quantum relative entropy between two states. We derive a lower bound for the quantum entropy production in terms of the mean and variance of quantum…

量子物理 · 物理学 2024-04-30 Domingos S. P. Salazar
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