Autonomous quantum absorption refrigerators

Manikandan, Sreenath K.; Jussiau, Étienne; Jordan, Andrew N.

doi:10.1103/physrevb.102.235427

Cited by 15 publications

(7 citation statements)

References 66 publications

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“…The system in Eq. ( 10) expressing particle conservation in the weak-coupling regime can only be solved exactly in the simplest case with a single cavity (N = 1), where the system reduced to a single equation [26]. Nevertheless, we show in this section that a solution for an arbitrary number of cavities can be obtained, provided that each dot energy is positioned close to the chemical potentials of the cavities (or lead) it is connected to.…”

Section: Linear Response Solutionmentioning

confidence: 87%

“…A similar system comprising a single cavity has already been extensively studied, primarily with the intent of cooling down the cold central cavity [32][33][34], but, in the case of a hot cavity, the device can also operate as an energy harvester [20,24] or an absorption refrigerator [26]. In this last case, it has been shown that a rectified heat current appears when the two reservoirs at the extremities are held at the same temperature.…”

Section: Model and Formulationmentioning

confidence: 99%

“…This still permits practical quantum device applications such as steady-state heat engines and refrigerators at the nanoscale [16,[20][21][22][23][24]. In these nanoscale devices, whether the device acts as a heat engine or a refrigerator depends on the choice of parameters [16,25,26]. Although management of heat across a single nanoscale device has been well studied [15,16,21,22,[26][27][28][29][30], an on-demand heat flow across a chain of quantum units is still an unsolved problem.…”

Section: Introductionmentioning

confidence: 99%

“…In these nanoscale devices, whether the device acts as a heat engine or a refrigerator depends on the choice of parameters [16,25,26]. Although management of heat across a single nanoscale device has been well studied [15,16,21,22,[26][27][28][29][30], an on-demand heat flow across a chain of quantum units is still an unsolved problem. The controlled flow of heat in quantum circuits is highly desired.…”

Section: Introductionmentioning

confidence: 99%

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Thermal control across a chain of electronic nanocavities

Jussiau,

Manikandan,

Bhandari

et al. 2021

Preprint

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We study a chain of alternating hot and cold electronic nanocavities-connected to one another via resonant-tunneling quantum dots-with the intent of achieving precise thermal control across the chain. This is accomplished by positioning the dots' energy levels such that a predetermined distribution of heat currents is realized across the chain in the steady state. The number of electrons in each cavity is conserved in the steady state which constrains the cavities' chemical potentials. We determine these chemical potentials analytically in the linear response regime where the energy differences between the dots' resonant levels and the neighboring chemical potentials are much smaller than the thermal energy. In this regime, the thermal control problem can be solved exactly, while, in the general case, thermal control can only be achieved in a relative sense, that is, when one only preassigns the ratios between different heat currents. We apply our results to two different cases: We first demonstrate that a "heat switch" can be easily realized with three coupled cavities, then we show that our linear response results can provide accurate results in situations with a large number of cavities.

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Section: Linear Response Solutionmentioning

confidence: 87%

Section: Model and Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Thermal control across a chain of electronic nanocavities

Jussiau,

Manikandan,

Bhandari

et al. 2021

Preprint

Self Cite

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“…Introduction.-Autonomous absorption refrigerator (AR) is a three terminal setup that operates in nonequilibrium steady state and continuously direct energy to flow from cold (c) to hot (h) terminal by absorbing energy from the ultra-hot work (w) terminal [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. The first useful AR for industrial application was realised dates back in the 19th century by the Carré brothers [20,21].…”

mentioning

confidence: 99%

Universal bounds on cooling power and cooling efficiency for autonomous absorption refrigerators

Mohanta,

Saryal,

Agarwalla

2021

Preprint

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For steady-state autonomous absorption refrigerators operating in the linear response regime, we show that there exists a hierarchy between the relative fluctuation of currents for cold, hot, and work terminals. Our proof requires the Onsager's reciprocity relation along with the refrigeration condition that sets the direction of the mean currents for each terminal. As a consequence, the universal bounds on the mean cooling power, obtained following the thermodynamic uncertainty relations, receive a hierarchy. Interestingly, within this hierarchy, the tightest bound is given in terms of the work current fluctuation. Furthermore, the relative uncertainty hierarchy hands over additional bounds that can be tighter than the bounds obtained from the thermodynamic uncertainty relations. Interestingly, all of these bounds saturate in the tight-coupling limit. We test the validity of our results for two paradigmatic absorption refrigerator models: (i) a four-level working fluid and (ii) a two-level working fluid, operating, respectively, in the weak (additive) and in the strong (multiplicative) system-bath interaction regime.

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Three-heat-reservoir thermal Brownian heat pump and its performance limits

Chen,

Qi,

et al. 2024

Case Studies in Thermal Engineering

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Autonomous quantum absorption refrigerators

Cited by 15 publications

References 66 publications

Thermal control across a chain of electronic nanocavities

Thermal control across a chain of electronic nanocavities

Universal bounds on cooling power and cooling efficiency for autonomous absorption refrigerators

Three-heat-reservoir thermal Brownian heat pump and its performance limits

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