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Related papers: Speed Limit for Classical Stochastic Processes

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In recent letter [Phys. Rev. Lett {\bf 121}, 070601 (2018), arXiv:1802.06554], the speed limit for classical stochastic Markov processes is considered, and a trade-off inequality between the speed of the state transformation and the entropy…

Statistical Mechanics · Physics 2018-11-20 Yunxin Zhang

We investigate bounds on speed, non-adiabatic entropy production and trade-off relation between them for classical stochastic processes with time-independent transition rates. Our results show that the time required to evolve from an…

Statistical Mechanics · Physics 2023-11-10 Jie Gu

We derive universal thermodynamic inequalities that bound from below the moments of first-passage times of stochastic currents in nonequilibrium stationary states of Markov jump processes in the limit where the thresholds that define the…

Statistical Mechanics · Physics 2025-02-03 Izaak Neri

We derive statistical-mechanical speed limits on dissipation from the classical, chaotic dynamics of many-particle systems. In one, the rate of irreversible entropy production in the environment is the maximum speed of a deterministic…

Statistical Mechanics · Physics 2024-06-19 Swetamber Das , Jason R. Green

In this study, we investigate the bound on the speed of state transformation in the quantum and classical systems that are coupled to general environment with arbitrary coupling interactions. We show that a Mandelstam-Tamm type speed limit…

Statistical Mechanics · Physics 2021-05-05 Naoto Shiraishi , Keiji Saito

We show that the dissipation rate bounds the rate at which physical processes can be performed in stochastic systems far from equilibrium. Namely, for rare processes we prove the fundamental tradeoff $\langle \dot S_\text{e} \rangle…

Statistical Mechanics · Physics 2020-09-23 Gianmaria Falasco , Massimiliano Esposito

Near equilibrium, thermodynamic intuition suggests that fast, irreversible processes will dissipate more energy and entropy than slow, quasistatic processes connecting the same initial and final states. Here, we test the hypothesis that…

Statistical Mechanics · Physics 2022-12-07 Rebecca A. Bone , Daniel J. Sharpe , David J. Wales , Jason R. Green

As a fundamental thermodynamic principle, speed limits reveal the lower bound of entropy production (EP) required for a system to transition from a given initial state to a final state. While various speed limits have been developed for…

Statistical Mechanics · Physics 2025-07-08 Sangyun Lee , Jae Sung Lee , Jong-Min Park

Thermodynamic speed limits are a set of classical uncertainty relations that, so far, place global bounds on the stochastic dissipation of energy as heat and the production of entropy. Here, instead of constraints on these thermodynamic…

Statistical Mechanics · Physics 2023-02-13 Erez Aghion , Jason R. Green

We extend the speed limit of a distance between two states evolving by different generators for quantum systems [K. Suzuki and K. Takahashi, Phys. Rev. Res. 2, 032016(R) (2020)] to the classical stochastic processes described by the master…

Statistical Mechanics · Physics 2023-03-31 Kazutaka Takahashi , Yasuhiro Utsumi

Speed of state transitions in macroscopic systems is a crucial concept for foundations of nonequilibrium statistical mechanics as well as various applications in quantum technology represented by optimal quantum control. While extensive…

Statistical Mechanics · Physics 2022-04-29 Ryusuke Hamazaki

We study the quantum speed limit for open quantum systems described by the Lindblad master equation. The obtained inequality shows a trade-off relation between the operation time and the physical quantities such as the energy fluctuation…

Quantum Physics · Physics 2019-01-14 Ken Funo , Naoto Shiraishi , Keiji Saito

Thermo-Kinetic relations bound thermodynamic quantities such as entropy production with statistics of dynamical observables. We introduce a Thermo-Kinetic Relation to bound the entropy production or the non-adiabatic (Hatano-Sasa, excess)…

Statistical Mechanics · Physics 2022-06-06 Jean-Charles Delvenne , Gianmaria Falasco

The total entropy production quantifies the extent of irreversibility in thermodynamic systems, which is nonnegative for any feasible dynamics. When additional information such as the initial and final states or moments of an observable is…

Statistical Mechanics · Physics 2020-12-29 Van Tuan Vo , Tan Van Vu , Yoshihiko Hasegawa

In the context of quantum speed limits, it has been shown that the minimum time required to cause a desired state conversion via the open quantum dynamics can be estimated using the entropy production. However, the established entropy-based…

Quantum Physics · Physics 2024-10-16 Kotaro Sekiguchi , Satoshi Nakajima , Ken Funo , Hiroyasu Tajima

We investigate the fundamental relation between entropy production rate and the speed of energy exchange between a system and baths in classical Markov processes. We establish the fact that quick energy exchange inevitably induces large…

Statistical Mechanics · Physics 2019-06-14 Naoto Shiraishi , Keiji Saito

Quantum physics dictates fundamental speed limits during time evolution. We present a quantum speed limit governing the generation of nonclassicality and the mutual incompatibility of two states connected by time evolution. This result is…

Quantum Physics · Physics 2016-12-20 Jun Jing , Lian-Ao Wu , Adolfo del Campo

The importance of Fisher information is increasing in nonequilibrium thermodynamics, as it has played a fundamental role in trade-off relations such as thermodynamic uncertainty relations and speed limits. In this work, we investigate…

Quantum Physics · Physics 2026-03-05 Tomohiro Nishiyama , Yoshihiko Hasegawa

We derive two fundamental trade-offs for general stochastic limit cycles in the weak-noise limit. The first is the dissipation-coherence trade-off, which was discovered and proved under additional assumptions by Santolin and Falasco [Phys.…

Statistical Mechanics · Physics 2026-05-04 Ryuna Nagayama , Sosuke Ito

The second law of thermodynamics states that entropy production cannot be negative. Recent developments concerning uncertainty relations in stochastic thermodynamics, such as thermodynamic uncertainty relations and speed limits, have…

Statistical Mechanics · Physics 2023-10-09 Tomohiro Nishiyama , Yoshihiko Hasegawa
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