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The attempt to gain a theoretical understanding of the concept of time in quantum mechanics has triggered significant progress towards the search for faster and more efficient quantum technologies. One of such advances consists in the…

Maximizing the speed and precision of communication while minimizing power dissipation is a fundamental engineering design goal. Also, biological systems achieve remarkable speed, precision and power efficiency using poorly understood…

Statistical Mechanics · Physics 2016-03-30 Subhaneil Lahiri , Jascha Sohl-Dickstein , Surya Ganguli

A stochastic system under the influence of a stochastic environment is correlated with both present and future states of the environment. Such a system can be seen as implicitly implementing a predictive model of future environmental…

Statistical Mechanics · Physics 2018-10-05 Matthew E. Quenneville , David A. Sivak

We are concerned with flow enhanced mixing of passive scalars in the presence of diffusion. Under the assumption that the velocity gradient is suitably integrable, we provide upper bounds on the exponential rates of enhanced dissipation.…

Analysis of PDEs · Mathematics 2022-11-24 Christian Seis

We develop a perturbation theory of quantum (and classical) master equations with slowly varying parameters, applicable to systems which are externally controlled on a time scale much longer than their characteristic relaxation time. We…

Quantum Physics · Physics 2017-08-09 Vasco Cavina , Andrea Mari , Vittorio Giovannetti

Non-equilibrium critical phenomena generally exist in many dynamic systems, like chemical reactions and some driven-dissipative {reactive} particle systems. Here, by using computer simulation and theoretical analysis, we demonstrate the…

Soft Condensed Matter · Physics 2021-05-26 Qun-Li Lei , Hao Hu , Ran Ni

Sudden transitions in the state of a system are often undesirable in natural and human-made systems. Such transitions under fast variation of system parameters are called rate-induced tipping. We experimentally demonstrate rate-induced…

Applied Physics · Physics 2022-09-15 Induja Pavithran , P. R. Midhun , R. I. Sujith

Equilibrium thermodynamics is grounded in the law of energy conservation, with a specific focus on how systems exchange energy with their environment during transitions between equilibrium states. These transitions are typically…

Statistical Mechanics · Physics 2024-08-19 Karol Makuch

We establish a fundamental connection between score-based diffusion models and non-equilibrium thermodynamics by deriving performance limits based on entropy rates. Our main theoretical contribution is a lower bound on the negative…

Machine Learning · Computer Science 2025-10-08 Nathan X. Kodama , Michael Hinczewski

Driven barrier crossings are pervasive in optical-trapping experiments and steered molecular-dynamics simulations. Despite the high fidelity of control, the freedom in the choice of driving protocol is rarely exploited to improve…

Statistical Mechanics · Physics 2022-07-06 Steven Blaber , David A. Sivak

We have shown how the intrinsic properties of a noise process can set an upper bound for the time derivative of entropy in a nonequilibrium system. The interplay of dissipation and the properties of noise processes driving the dynamical…

Statistical Mechanics · Physics 2009-11-07 Bidhan Chandra Bag

In this paper, we derive sharp lower bounds, also known as quantum speed limits, for the time it takes to transform a quantum system into a state such that an observable assumes its lowest average value. We assume that the system is…

Quantum Physics · Physics 2021-06-02 Dan Allan , Niklas Hörnedal , Ole Andersson

I report a tight upper bound of the maximum speed of evolution from one quantum state $\rho$ to another $\rho'$ with fidelity $F(\rho,\rho')$ less than or equal to an arbitrary but fixed value under the action of a time-independent…

Quantum Physics · Physics 2013-05-29 H. F. Chau

Chemical processes in closed systems are poorly controllable since they always relax to equilibrium. Living systems avoid this fate and give rise to a much richer diversity of phenomena by operating under nonequilibrium conditions. Recent…

Chemical Physics · Physics 2019-09-11 Emanuele Penocchio , Riccardo Rao , Massimiliano Esposito

The quantum speed limit sets a fundamental restriction on the evolution time of quantum systems. We explore the relationship between quantum imaginarity and the quantum speed limit by utilizing measures such as relative entropy, trace…

Quantum Physics · Physics 2025-11-11 Dong-Ping Xuan , Zhong-Xi Shen , Wen Zhou , Shao-Ming Fei , Zhi-Xi Wang

We introduce "local uncertainty relations" in thermal many body systems. Using these relations, we derive basic bounds. These results include the demonstration of universal non-relativistic speed limits (regardless of interaction range),…

Quantum Physics · Physics 2022-07-14 Zohar Nussinov , Saurish Chakrabarty

Repulsive point processes arise in models where competition forces entities to be more spread apart than if placed independently. Simulation of these types of processes can be accomplished using dominated coupling from the past with a…

Probability · Mathematics 2010-10-18 Mark L. Huber , Elise McCall , Daniel Rozenfeld , Jason Xu

Advances in experimental techniques enable the precise manipulation of a large variety of active systems, which constantly dissipate energy to sustain nonequilibrium phenomena without any equilibrium equivalent. To design novel materials…

Statistical Mechanics · Physics 2025-06-03 Artur Soriani , Elsen Tjhung , Étienne Fodor , Tomer Markovich

Noise-induced transitions between metastable fixed points in systems evolving on multiple time scales are analyzed in situations where the time scale separation gives rise to a slow manifold with bifurcation. This analysis is performed…

Statistical Mechanics · Physics 2017-10-05 Tobias Grafke , Eric Vanden-Eijnden

Motivated by recent experimental progress to read out quantum bits implemented in superconducting circuits via the phenomenon of dynamical bifurcation, transitions between steady orbits in a driven anharmonic oscillator, the Duffing…

Other Condensed Matter · Physics 2015-05-19 Alvise Verso , Joachim Ankerhold