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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

Entropy production (EP) is a central quantity in nonequilibrium physics as it monitors energy dissipation, irreversibility, and free energy differences during thermodynamic transformations. Estimating EP, however, is challenging both…

统计力学 · 物理学 2024-06-26 Jinghao Lyu , Kyle J. Ray , James P. Crutchfield

We derive a thermodynamic uncertainty relation (TUR) for systems with unidirectional transitions. The uncertainty relation involves a mixture of thermodynamic and dynamic terms. Namely, the entropy production from bidirectional transitions,…

统计力学 · 物理学 2021-03-30 Arnab Pal , Shlomi Reuveni , Saar Rahav

We introduce a new technique to bound the fluctuations exhibited by a physical system, based on the Euclidean geometry of the space of observables. Through a simple unifying argument, we derive a sweeping generalization of so-called…

统计力学 · 物理学 2020-06-24 Gianmaria Falasco , Massimiliano Esposito , Jean-Charles Delvenne

We investigate the tightness and optimality of thermodynamic-uncertainty-relation (TUR)-type inequalities from two aspects, the choice of the Fisher information and the class of possible observables. We show that there exists the best…

统计力学 · 物理学 2023-04-26 Naoto Shiraishi

The thermodynamic uncertainty relation (TUR) for underdamped dynamics has intriguing problems while its counterpart for overdamped dynamics has recently been derived. Even for the case of steady states, a proper way to match underdamped and…

统计力学 · 物理学 2022-02-02 Chulan Kwon , Youngchae Kwon , Hyun Keun Lee

Recently, it has been shown that there is a trade-off relation between thermodynamic cost and current fluctuations, referred to as the thermodynamic uncertainty relation (TUR). The TUR has been derived for various processes, such as…

统计力学 · 物理学 2020-01-01 Jae Sung Lee , Jong-Min Park , Hyunggyu Park

The thermodynamic uncertainty relation (TUR) has been well studied for systems with few degrees of freedom. While, in principle, the TUR holds for more complex systems with many interacting degrees of freedom as well, little is known so far…

统计力学 · 物理学 2022-11-22 Timur Koyuk , Udo Seifert

For continuous-time Markov jump processes on irreducible networks with time-independent rate constants, we employ a transition-based formalism to express the long-time precision of a single integrated current over an observable channel in…

统计力学 · 物理学 2026-05-25 Alberto Garilli , Diego Frezzato

Thermodynamic uncertainty relations (TURs) place strict bounds on the fluctuations of thermodynamic quantities in terms of the associated entropy production. In this work we identify the tightest (and saturable) matrix-valued TUR that can…

量子物理 · 物理学 2019-10-07 André M. Timpanaro , Giacomo Guarnieri , John Goold , Gabriel T. Landi

We provide a minimal strategy for the quantitative analysis of a large class of non-equilibrium systems in a {statistically} steady state using the short-time Thermodynamic Uncertainty Relation (TUR). From short-time trajectory data…

Thermodynamic Uncertainty Relations (TURs) set universal bounds linking current fluctuations to entropy production in nonequilibrium steady states. Their multidimensional generalization (MTUR) introduces matrix inequalities connecting…

介观与纳米尺度物理 · 物理学 2026-05-07 Sergi Vidal , Alba Mayor-Fernandez , Rosa Lopez

Stability and efficiency are mutually exclusive in a thermodynamic process, e.g. in a thermal machine. Any effort to reduce the fluctuations of a certain output quantity is necessarily accompanied by an increase of entropy production,…

介观与纳米尺度物理 · 物理学 2026-05-14 Franco Mayo , Nahual Sobrino , Rosario Fazio , Fabio Taddei , Michele Governale

In nonequilibrium systems, the relative fluctuation of a current has a universal trade-off relation with the entropy production, called the thermodynamic uncertainty relation (TUR). For systems with broken time reversal symmetry, its…

统计力学 · 物理学 2021-10-04 Jong-Min Park , Hyunggyu Park

Autonomous engines operating at the nano-scale can be prone to deleterious fluctuations in the heat and particle currents which increase, for fixed power output, the more reversible the operation regime is. This fundamental trade-off…

统计力学 · 物理学 2019-10-23 Giacomo Guarnieri , Gabriel T. Landi , Stephen R. Clark , John Goold

The thermodynamic uncertainty relation (TUR) is a fundamental principle in non-equilibrium thermodynamics that relates entropy production to fluctuations in a system, establishing a trade-off between the precision of an observable and the…

量子物理 · 物理学 2025-08-07 Arghya Maity , Ahana Ghoshal

Thermodynamic uncertainty relations (TURs) and kinetic uncertainty relations (KURs) provide tradeoff relations between measurement precision and thermodynamic cost such as entropy production and activity. Conventionally, these relations are…

统计力学 · 物理学 2024-12-16 Euijoon Kwon , Jae Sung Lee

The rate of entropy production provides a useful quantitative measure of a non-equilibrium system and estimating it directly from time-series data from experiments is highly desirable. Several approaches have been considered for stationary…

统计力学 · 物理学 2022-02-21 Shun Otsubo , Sreekanth K Manikandan , Takahiro Sagawa , Supriya Krishnamurthy

In systems far from equilibrium, the statistics of observables are connected to entropy production, leading to the Thermodynamic Uncertainty Relation (TUR). However, the derivation of TURs often involves constraining the parity of…

统计力学 · 物理学 2023-05-17 Domingos S. P. Salazar

We derive a thermodynamic uncertainty relation (TUR) under quantum continuous measurement and feedback control. By incorporating the quantum-classical-transfer entropy, which quantifies the information gained by continuous measurement, we…

统计力学 · 物理学 2026-03-20 Kaito Tojo , Takahiro Sagawa , Ken Funo