Geometric properties of adiabatic quantum thermal machines

Bhandari, Bibek; Alonso, Pablo Terrén; Taddei, F.; Oppen, Felix von; Fazio, Rosario; Arrachea, Liliana

doi:10.1103/physrevb.102.155407

Cited by 67 publications

(62 citation statements)

References 143 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Quantum heat engines and cyclic refrigerators are presently under intensive study; see Humphrey and Linke (2005), Quan et al (2007), Deffner, Jarzynski, andCampo (2014), Pilgram, Sánchez, and López (2015), Campisi and Fazio (2016), Benenti et al (2017), Brandner, Bauer, andSeifert (2017), Alicki and Kosloff (2018), Josefsson et al (2018), Bhandari et al (2020), Majidi et al (2021), andRaja et al (2021). Experiments that are fully in the quantum regime have thus far been practically nonexistent, although there have been proposals addressing realistic setups (Abah et al, 2012;Karimi and Pekola, 2016).…”

Section: Discussionmentioning

confidence: 99%

Colloquium: Quantum heat transport in condensed matter systems

2021

View full text Add to dashboard Cite

Section: Discussionmentioning

confidence: 99%

Colloquium: Quantum heat transport in condensed matter systems

2021

View full text Add to dashboard Cite

“…Since terms in the left hand sides of Eq. ( 24) and ( 25) are growing with time and the right-hand sides are naturally bounded by the size of the middle system, we arrive at the approximate conservation laws in the long time (large period number) limit [82,83] N L + N R = 0,…”

Section: B Geometric Berry-phase-induced Particle and Energy Currentsmentioning

confidence: 97%

Geometric thermodynamic uncertainty relation in periodically driven thermoelectric heat engine

Lu,

Wang,

Peng

et al. 2022

Preprint

View full text Add to dashboard Cite

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.

show abstract

“…A related approach based on a functional theory [30] has been presented in Refs. [31][32][33] using a Luttinger-field method [36], however, without the rescaling of the interaction term T (t ) that we include here. Specifically, the prefactor r (t )s (t, ω k ) in the coupling Hamiltonian is chosen so that the rescaling of the energies does not change the spectral properties of the bath.…”

Section: A Time-dependent Temperaturesmentioning

confidence: 99%

“…Such systems are known to exhibit nonreciprocal heat transport as needed for a thermal diode [25][26][27][28][29], and they have recently been used to realize a thermal heat valve [19]. While earlier works have considered low-frequency heat transport [30][31][32][33], we now extend the discussion to finite driving frequencies.…”

Section: Introductionmentioning

confidence: 96%

Heat transport in a two-level system driven by a time-dependent temperature

2021

View full text Add to dashboard Cite

The field of thermotronics aims to develop thermal circuits that operate with temperature biases and heat currents just as how electronic circuits are based on voltages and electric currents. Here, we investigate a thermal half-wave rectifier based on a quantum two-level system (a qubit) that is driven by a periodically modulated temperature difference across it. To this end we present a nonequilibrium Green's function technique, which we extend to the time domain to account for the time-dependent temperature in one of two thermal reservoirs connected to the qubit. We find that the qubit acts a thermal diode in parallel with a thermal capacitor, whose capacitance is controlled by the coupling to the reservoirs. These findings are important for the efforts to design nonlinear thermal components such as heat rectifiers and multipliers that operate with more than one diode.

show abstract

Geometric properties of adiabatic quantum thermal machines

Cited by 67 publications

References 143 publications

Colloquium: Quantum heat transport in condensed matter systems

Colloquium: Quantum heat transport in condensed matter systems

Geometric thermodynamic uncertainty relation in periodically driven thermoelectric heat engine

Heat transport in a two-level system driven by a time-dependent temperature

Contact Info

Product

Resources

About