Experimental study of the thermodynamic uncertainty relation

Pal, Soham; Saryal, Sushant; Segal, Dvira; Mahesh, T. S.; Agarwalla, Bijay Kumar

doi:10.1103/physrevresearch.2.022044

Cited by 51 publications

(34 citation statements)

References 55 publications

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“…The statement of the TUR in the nonequilibrium steady-state limit under a constant thermal bias reads 27 – 37 where the average steady-state entropy production is and the integrated heat current is . The trajectories of integrated heat current as a function of time at different coupling strengths are plotted in Fig.…”

Section: Resultsmentioning

confidence: 99%

“…The thermodynamics uncertainty relation (TUR) is a recently developed thermodynamic inequality, which offers a precise bound on the heat flux fluctuations in terms of the entropy production. Although the TUR has been well accepted and the most interesting applications take a step beyond its validation, there is rare proof in the experiment 30,37 . The statement of the TUR in the nonequilibrium steady-state limit under a constant thermal bias reads [27][28][29][30][31][32][33][34][35][36][37] VarðJ τ Þ…”

Section: Driving Fieldmentioning

confidence: 99%

“…This means that the coherence is dominated over the dissipations in such an inherently random process. In addition, we test the constraints on the precision of steady-state heat flux, i.e., the thermodynamic uncertainty relation [27][28][29][30][31][32][33][34][35][36][37] , in such a thermal gradient driven faroff equilibrium system at various coupling strengths, including the strong coupling regime. Therefore, our observations provide new insights for nonequilibrium thermodynamics and nontrivial extension beyond the weak coupling, in contrast to most previous systems of stochastic thermodynamics that are overdamped 3,4 .…”

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confidence: 99%

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Phonon heat transport in cavity-mediated optomechanical nanoresonators

et al. 2020

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The understanding of heat transport in nonequilibrium thermodynamics is an important research frontier, which is crucial for implementing novel thermodynamic devices, such as heat engines and refrigerators. The convection, conduction, and radiation are the well-known basic ways to transfer thermal energy. Here, we demonstrate a different mechanism of phonon heat transport between two spatially separated nanomechanical resonators coupled by the cavity-enhanced long-range interactions. The single trajectory for thermalization and non-equilibrium dynamics is monitored in real-time. In the strong coupling regime, the instant heat flux spontaneously oscillates back and forth in the nonequilibrium steady states. The universal bound on the precision of nonequilibrium steady-state heat flux, i.e. the thermodynamic uncertainty relation, is verified in such a temperature gradient driven far-off equilibrium system. Our results give more insight into the heat transfer with nanomechanical oscillators, and provide a playground for testing fundamental theories in non-equilibrium thermodynamics.

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Section: Resultsmentioning

confidence: 99%

Section: Driving Fieldmentioning

confidence: 99%

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confidence: 99%

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Phonon heat transport in cavity-mediated optomechanical nanoresonators

et al. 2020

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“…Recently, a thermodynamic uncertainty relation (TUR) has been formulated based on classical Markovian steady states, which demonstrates the trade-off relation between relative current fluctuation and dissipation [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Specifically, the average current I , its variance I 2 ≡ (I − I ) 2 , and the entropy production rate σ is universally bounded as…”

Section: Introductionmentioning

confidence: 99%

Geometric thermodynamic uncertainty relation in periodically driven thermoelectric heat engine

Lu,

Wang,

Peng

et al. 2022

Preprint

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Thermodynamic uncertainty relation, quantifying a trade-off among average current, the associated fluctuation (precision), and entropy production (cost), has been formulated in nonequilibrium steady state and various stochastic systems. Herein, we study the thermodynamic uncertainty relation in generic thermoelectric heat engines under a periodic control protocol, by uncovering the underlying Berry-phase-like contribution. We show that our thermodynamic uncertainty relation breaks the seminal steady-state results, originating from the non-vanishing geometric effect. Furthermore, by deriving the consequent trade-off relation binding efficiency, power, and constancy, we prove that the periodically driven thermoelectric heat engines can generally outperform the steadystate analogies. The general bounds are illustrated by an analytically solvable two-terminal single quantum dot heat engine under the periodic modulation. Our work provides a geometric framework in bounding and optimizing a wide range of periodically driven thermoelectric thermal machines.

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“…The developments of nuclear magnetic resonance, trapped ions, superconducting circuits, and quantum state tomography facilitate access to the measurement and manipulation of spin ensembles [1,2]. These techniques have been employed to verify how the laws of thermodynamic emerge in the quantum domain [3,4]. The existence of the arrow of time in a thermodynamically irreversible process has been demonstrated by observing a fast quenched dynamics of an isolated spin-1/2 system [5].…”

Section: Introductionmentioning

confidence: 99%

Thermal divergences of quantum measurement engine

Su¹,

Lin²,

Chen³

2021

Preprint

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A quantum engine fueled by quantum measurement is proposed. Under the finite-time adiabatic driving regime, the conversion of heat to work is realized without the compression and expansion of the resonance frequency. The work output, quantum heat, and efficiency are derived, highlighting the important role of the thermal divergence recently reappearing in open quantum systems. The key problem of how the measurement basis can be optimized to enhance the performance is solved by connecting the thermal divergence to the nonequilibrium free energy and entropy. The spinengine architecture offers a comprehensive platform for future investigations of extracting work from quantum measurement.

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Experimental study of the thermodynamic uncertainty relation

Cited by 51 publications

References 55 publications

Phonon heat transport in cavity-mediated optomechanical nanoresonators

Phonon heat transport in cavity-mediated optomechanical nanoresonators

Geometric thermodynamic uncertainty relation in periodically driven thermoelectric heat engine

Thermal divergences of quantum measurement engine

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