Article
Physics, Fluids & Plasmas
Gianluca Francica
Summary: This article discusses the significance of fluctuation theorems in nonequilibrium thermodynamics, derives a thermodynamic uncertainty relation, and examines the relationship between this relation and the correlation between entropy and observables.
Article
Physics, Fluids & Plasmas
Takuya Kamijima, Sosuke Ito, Andreas Dechant, Takahiro Sagawa
Summary: This article investigates the driving forces that push a system out of equilibrium, such as time-dependent and nonconservative forces. The dissipation of the system can then be decomposed into two nonnegative parts, known as excess and housekeeping entropy productions. Thermodynamic uncertainty relations are derived for these entropy components, which can serve as useful tools for estimating their individual contributions. A decomposition of an arbitrary current into housekeeping and excess parts is also introduced, providing lower bounds for their respective entropy productions. Additionally, a geometric interpretation of the decomposition is presented, revealing that the uncertainties of the two components are not independent and must obey a joint uncertainty relation, resulting in a tighter bound on the total entropy production. The findings are applied to illustrate the physical interpretation of current components and how to estimate entropy production.
Article
Physics, Multidisciplinary
Gianmaria Falasco, Massimiliano Esposito, Jean-Charles Delvenne
Summary: This study derives novel bounds on the nonlinear response of a system undergoing a change of probabilistic state, based on a recent geometric generalization of thermodynamic uncertainty relations. These bounds have various applications, including trade-offs between thermodynamic cost and system reliability, speed limits for non-autonomous Markov processes, and upper bounds on the nonlinear response based on the complexity of the system.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Multidisciplinary
Van Tuan Vo, Tan Van Vu, Yoshihiko Hasegawa
Summary: Understanding current fluctuations is fundamentally important for practical applications. This study proposes a tighter bound on current fluctuations and a refined classical speed limit, which jointly constrain the precision of currents.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Multidisciplinary
Kohei Yoshimura, Sosuke Ito
Summary: The study generalizes the thermodynamic uncertainty relation and thermodynamic speed limit for deterministic chemical reaction networks, highlighting the role of the scaled diffusion coefficient derived from the connection between macro- and mesoscopic networks. The research shows that the product of the entropy production rate and the ratio of the scaled diffusion coefficient to the square of the rate of concentration change is bounded below by two, and states a trade-off relation between speed and thermodynamic quantities. These results are proven under the general setting of open and nonideal CRNs.
PHYSICAL REVIEW LETTERS
(2021)
Article
Computer Science, Artificial Intelligence
Weiwei Guo, Zaiwu Gong, Enrique Herrera-Viedma, Qingsheng Li
Summary: This paper introduces a group decision modeling problem based on linear uncertain preference relations, constructs related models, and solves some problems that traditional methods cannot solve. Through the case of online shopping platform selection, the effectiveness and rationality of the new methods are further verified.
APPLIED SOFT COMPUTING
(2021)
Article
Physics, Multidisciplinary
Emanuel Schwarzhans, Maximilian P. E. Lock, Paul Erker, Nicolai Friis, Marcus Huber
Summary: According to thermodynamics, the increase of entropy distinguishes the past from the future, requiring any clock to incorporate an irreversible process to track this flow. A clockwork, a system designed to concentrate irreversible events and improve the accuracy of time measurements, is essential for a clock. By increasing complexity, an ideal clockwork model can be approximated, showcasing the thermodynamic limits of time measurement when combined with irreversible decay mechanisms.
Article
Physics, Multidisciplinary
Igor M. Sokolov
Summary: In this study, we investigate fluctuation-dissipation relations (FDRs) for a Brownian motion under renewal resetting with arbitrary waiting time distribution between the resetting events. We find that if the distribution of waiting times possesses the second moment, the usual (generalized) FDR and the equivalent generalized Einstein's relation (GER) apply for the response function of the coordinate. In the case where the second moment of waiting times diverges but the first one stays finite, the static susceptibility diverges and the usual FDR breaks down, but the GER still applies. In all of these situations, the fluctuation dissipation relations define the effective temperature of the system, which is twice as high as the temperature of the medium in which the Brownian motion takes place.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Multidisciplinary
Paul Menczel, Eetu Loisa, Kay Brandner, Christian Flindt
Summary: This study investigates the uncertainty of steady-state currents in Markovian open quantum systems, finding that the thermodynamic cost of reducing fluctuations can be lowered below the classical bound by coherence, providing a general guideline for the design of thermal machines with high thermodynamic precision in the quantum regime.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Fluids & Plasmas
Domingos S. P. Salazar
Summary: The thermodynamic uncertainty relation (TUR) is a lower bound for the variance of a current as a function of the average entropy production. Depending on the assumptions, different versions of TUR can be obtained.
Article
Physics, Multidisciplinary
Qi Sun, Tao Li, Zhi-Xiang Jin, Deng-Feng Liang
Summary: This paper introduces the one-to-one and one-to-many relations of entanglement distribution in multipartite systems and provides a characterization of multiqubit entanglement constraints using unified-(q, s) entropy. It establishes a class of tighter monogamy inequalities based on the alpha-th power of unified-(q, s) entanglement and a class of polygamy inequalities based on the beta-th power of unified-(q, s) entanglement of assistance. The results present a general class of monogamy and polygamy relations for bipartite entanglement measures that are tighter than existing ones, and various examples are provided for illustration.
Article
Physics, Multidisciplinary
Tan Van Vu, Keiji Saito
Summary: This study establishes a thermodynamic framework for discrete optimal transport and reveals the connection between thermodynamics and the optimal transport theory in both discrete and continuous cases, extending it to the quantum case. We introduce a new quantity called dynamical state mobility, improving the thermodynamic uncertainty relation and providing insights into the precision of currents in non-equilibrium Markov jump processes. By deriving variational formulas, we rigorously prove the equivalence between discrete Wasserstein distances and stochastic and quantum thermodynamic quantities. These results have important implications in stochastic and quantum thermodynamics, such as thermodynamic speed limits and the finite-time Landauer principle.
Article
Physics, Multidisciplinary
Hui-Hui Qin, Shao-Ming Fei
Summary: In this study, we investigate the optimal approximation to triple incompatible quantum measurements within the framework of statistical distance and joint measurability. By using the lower bound of the uncertainty inequality presented in [Physical Review A 99, 312107 (2019)], we provide analytical expressions for the optimal jointly measurable approximation to two types of triple incompatible unbiased qubit measurements. We also determine the corresponding states that minimize the approximation errors in the measuring process. These results offer plausible experimental verification of statistical distance-based uncertainty relations.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Computer Science, Artificial Intelligence
Mingxue Liao, Dong Shen, Pin Lv
Summary: In this study, a unified mathematical model was established to reveal the precise relation between data uncertainty (DU) and data relation uncertainty (DRU). The experimental results showed the high accuracy of this model under various conditions, with a relative error and absolute error of less than 0.2%. The model can be used to quantitatively estimate DRU according to a given DU and vice versa. Unexpectedly, the experiments showed that high DU will not necessarily lead to high DRU, which is highly significant for the design of data sorting and query algorithms with uncertain data.
KNOWLEDGE-BASED SYSTEMS
(2023)
Article
Biochemistry & Molecular Biology
M. C. Onyeaju, E. Omugbe, C. A. Onate, I. B. Okon, E. S. Eyube, U. S. Okorie, A. N. Ikot, D. A. Ogwu, P. O. Osuhor
Summary: The bound state solution of the non-relativistic wave equation with a molecular potential function has been obtained using the Nikiforov-Uvarov method, and these solutions are applied to study information-theoretic measures and verify the Heisenberg's uncertainty principle. The thermodynamic properties and vibrational energies of four diatomic molecules have been calculated numerically, and it is found that the obtained results agree well with existing literature.
JOURNAL OF MOLECULAR MODELING
(2023)
Article
Physics, Multidisciplinary
Paul Menczel, Kay Brandner
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2019)
Article
Physics, Multidisciplinary
Kay Brandner, Keiji Saito
PHYSICAL REVIEW LETTERS
(2020)
Article
Physics, Multidisciplinary
Federico Carollo, Filippo M. Gambetta, Kay Brandner, Juan P. Garrahan, Igor Lesanovsky
PHYSICAL REVIEW LETTERS
(2020)
Article
Chemistry, Physical
Kay Brandner
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
(2020)
Article
Physics, Multidisciplinary
Federico Carollo, Kay Brandner, Igor Lesanovsky
PHYSICAL REVIEW LETTERS
(2020)
Article
Physics, Multidisciplinary
Elina Potanina, Christian Flindt, Michael Moskalets, Kay Brandner
Summary: The article presents a comprehensive theory to describe the thermodynamics of periodically driven coherent conductors, establishing generalized Onsager-Casimir relations, extended fluctuation-dissipation theorem, and a family of thermodynamic bounds for optimizing the performance of coherent transport processes. The physically transparent extensions of these bounds imply a thermodynamic uncertainty relation that fully accounts for quantum effects and periodic driving, leading to a universal bound on entropy production for thermodynamic inference and device engineering under non-equilibrium conditions. This work provides a unifying thermodynamic theory of coherent transport that can be utilized with current technologies, connecting various topics from thermodynamic geometry to quantum engineering.
Article
Physics, Multidisciplinary
Paul Menczel, Eetu Loisa, Kay Brandner, Christian Flindt
Summary: This study investigates the uncertainty of steady-state currents in Markovian open quantum systems, finding that the thermodynamic cost of reducing fluctuations can be lowered below the classical bound by coherence, providing a general guideline for the design of thermal machines with high thermodynamic precision in the quantum regime.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Multidisciplinary
Chris Nill, Kay Brandner, Beatriz Olmos, Federico Carollo, Igor Lesanovsky
Summary: When atoms are excited to high-lying Rydberg states, their interactions with dipolar forces play a significant role. These interactions not only affect the dissipative effects caused by the coupling of Rydberg atoms with the surrounding electromagnetic field, but also modify the frequency of emitted photons, making it dependent on the local neighborhood of the emitting atom. The interactions among Rydberg atoms accelerate decoherence and affect dissipative phase transitions.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Fluids & Plasmas
Joshua Eglinton, Kay Brandner
Summary: This paper analyzes the performance of slowly driven refrigerators and heat engines operating between two thermal baths with a small temperature difference. The study shows that these devices can approach their Carnot limit only if heat leaks are suppressed. The power output is subject to a quadratic decay towards zero at the Carnot limit.
Article
Physics, Multidisciplinary
Katarzyna Macieszczak, Dominic C. Rose, Igor Lesanovsky, Juan P. Garrahan
Summary: The theory presented focuses on classical metastability in open quantum systems, explaining how metastable states can be approximated as probabilistic mixtures of a finite number of states and leading to various classical features in the dynamics. It is also noted that classical dynamics can be observed not only on average but also at the level of individual quantum trajectories, shedding light on the emergence of first-order dynamical phase transitions from metastability. The numerical approach developed offers an efficient way to verify the presence of classical metastability in open quantum systems, providing a set of metastable phases and effective classical dynamics.
PHYSICAL REVIEW RESEARCH
(2021)
Article
Optics
Katarzyna Macieszczak, Dominic C. Rose
Summary: We investigate the Markovian dynamics of a finitely dimensional open quantum system with weak unitary symmetry, discussing how to encode this symmetry in quantum stochastic dynamics by constructing a symmetric Hamiltonian and jump operators connecting specific eigenspaces. This representation simplifies the construction of the master operator as well as quantum jump Monte Carlo simulations, where stochastic trajectories of the system state are confined to symmetry eigenspaces and changed by asymmetric jump operators. These results also apply to cases with multiple Abelian weak symmetries.
Article
Physics, Multidisciplinary
Paul Menczel, Christian Flindt, Kay Brandner
PHYSICAL REVIEW RESEARCH
(2020)
Article
Optics
Paul Menczel, Christian Flindt, Kay Brandner
Article
Optics
Andreas Kouzelis, Katarzyna Macieszczak, Jiri Minar, Igor Lesanovsky
Article
Materials Science, Multidisciplinary
Elina Potanina, Kay Brandner, Christian Flindt