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We show that in the regime of ground-state cooling, simple expressions can be derived for the performance of resolved-sideband cooling --- an example of coherent feedback control --- and optimal linear measurement-based feedback cooling for…

Quantum Physics · Physics 2015-04-09 Kurt Jacobs , Hendra I. Nurdin , Frederick W. Strauch , Matthew James

Entropy production in stochastic mechanical systems is examined here with strict bounds on its rate. Stochastic mechanical systems include pure diffusions in Euclidean space or on Lie groups, as well as systems evolving on phase space for…

Mathematical Physics · Physics 2022-01-12 Gregory S. Chirikjian

Continuous quantum measurement and feedback induce energy exchange between a dissipative qubit and a monitor even in the steady state, as a measurement backaction. Using the Lindblad equation, we identified the maximum and minimum values of…

Quantum Physics · Physics 2025-02-11 Tsuyoshi Yamamoto , Yasuhiro Tokura

We introduce a novel notion of invariance feedback entropy to quantify the state information that is required by any controller that enforces a given subset of the state space to be invariant. We establish a number of elementary properties,…

Systems and Control · Computer Science 2019-08-07 Mahendra Singh Tomar , Matthias Rungger , Majid Zamani

The thermodynamic definition of entropy can be extended to nonequilibrium systems based on its relation to information. To apply this definition in practice requires access to the physical system's microstates, which may be prohibitively…

Statistical Mechanics · Physics 2020-08-21 Gil Ariel , Haim Diamant

We investigate how to coherently define entropy production for a process of transient relaxation in the Quantum Brownian Motion model for harmonic potential. We compare a form, called "Poised" (P), which after non-Markovian transients…

Statistical Mechanics · Physics 2015-06-11 Lorenzo Pucci , Massimiliano Esposito , Luca Peliti

The celebrated Evans-Searles, respectively Gallavotti-Cohen, fluctuation theorem concerns certain universal statistical features of the entropy production rate of a classical system in a transient, respectively steady, state. In this paper,…

Mathematical Physics · Physics 2025-08-05 T. Benoist , L. Bruneau , V. Jakšić , A. Panati , C. -A. Pillet

Some physical processes, including the intensity fluctuations of a chaotic laser, the detection of single photons, and the Brownian motion of a microscopic particle in a fluid are unpredictable, at least on long timescales. This…

Chaotic Dynamics · Physics 2015-08-10 Aaron M. Hagerstrom , Thomas E. Murphy , Rajarshi Roy

We introduce a natural way of visualizing the entropy production in heat transfer processes between a system and a thermal reservoir. This representation is particularly useful to highlight the asymmetric character of the heating and…

Statistical Mechanics · Physics 2023-09-07 Andrés Vallejo

The entropy production in dissipative processes is the essence of the arrow of time and the second law of thermodynamics. For dissipation of quantum systems, it was recently shown that the entropy production contains indeed two…

Quantum Physics · Physics 2020-10-28 Camille L. Latune , Ilya Sinayskiy , Francesco Petruccione

Fluctuation theorems are one of the pillars of non-equilibrium thermodynamics. Broadly speaking, they concern the statistical distribution of quantities such as heat, work or entropy production. Quantum experiments, however, usually can…

We demonstrate how to use feedback to control the internal states of trapped coherent ensembles of two-level atoms, and to protect a superposition state against the decoherence induced by a collective noise. Our feedback scheme is based on…

Atomic Physics · Physics 2015-05-05 T. Vanderbruggen , R. Kohlhaas , A. Bertoldi , S. Bernon , A. Aspect , A. Landragin , P. Bouyer

The implementation of a combination of continuous weak measurement and classical feedback provides a powerful tool for controlling the evolution of quantum systems. In this work, we investigate the potential of this approach from three…

Quantum Gases · Physics 2021-12-17 Jeremy T. Young , Alexey V. Gorshkov , I. B. Spielman

Robotic control systems are increasingly relying on distributed feedback controllers to tackle complex sensing and decision problems such as those found in highly articulated human-centered robots. These demands come at the cost of a…

Systems and Control · Computer Science 2015-01-14 Ye Zhao , Nicholas Paine , Kwan Suk Kim , Luis Sentis

Firstly, we calculate quantitatively decrease of entropy by the known formulas in the ordering phenomena and nucleation of thermodynamics of microstructure. They show again that a necessary condition of decrease of entropy in isolated…

General Physics · Physics 2009-05-04 Yi-Fang Chang

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…

Statistical Mechanics · Physics 2024-06-26 Jinghao Lyu , Kyle J. Ray , James P. Crutchfield

Entropy is one of the most fundamental quantities in physics. For systems with few degrees of freedom, the value of entropy provides a powerful insight into its microscopic dynamics, such as the number, degeneracy and relative energies of…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Eugenia Pyurbeeva , Jan A. Mol , Pascal Gehring

We derive a general lower bound on distributions of entropy production in interacting active matter systems. The bound is tight in the limit that interparticle correlations are small and short-ranged, which we explore in four canonical…

Statistical Mechanics · Physics 2021-02-03 Trevor GrandPre , Katherine Klymko , Kranthi K. Mandadapu , David T. Limmer

While the fluctuation theorem in classical systems has been thoroughly generalized under various feedback control setups, an intriguing situation in quantum systems, namely under continuous feedback, remains to be investigated. In this…

Statistical Mechanics · Physics 2022-05-11 Toshihiro Yada , Nobuyuki Yoshioka , Takahiro Sagawa

Analyzing and controlling system entropy is a powerful tool for regulating predictability of control systems. Applications benefiting from such approaches range from reinforcement learning and data security to human-robot collaboration. In…

Systems and Control · Electrical Eng. & Systems 2026-03-06 Menno van Zutphen , Giannis Delimpaltadakis , Duarte J. Antunes
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