4.5 Review

Increasing thermoelectric efficiency: dynamical models unveil microscopic mechanisms

Publisher

ROYAL SOC
DOI: 10.1098/rsta.2010.0266

Keywords

thermoelectricity; nonlinear dynamics; coupled particle-energy transport; Onsager coefficients

Funding

  1. MIUR

Ask authors/readers for more resources

Dynamical nonlinear systems provide a new approach to the old problem of increasing the efficiency of thermoelectric machines. In this review, we discuss stylized models of classical dynamics, including non-interacting complex molecules in an ergodic billiard, a disordered hard-point gas and an abstract thermoelectric machine. The main focus will be on the physical mechanisms, unveiled by these dynamical models, which lead to high thermoelectric efficiency approaching the Carnot limit.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.5
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Physics, Multidisciplinary

Statistical and dynamical properties of the quantum triangle map

Jiaozi Wang, Giuliano Benenti, Giulio Casati, Wen-ge Wang

Summary: We study the statistical and dynamical properties of the quantum triangle map. Our numerical results show that ergodicity is a sufficient condition for spectrum and eigenfunctions to follow the prediction of random matrix theory, even when the classical dynamics underlying it is not chaotic. Additionally, we find that dynamical quantities such as the out-of-time-ordered correlator (OTOC) and the number of harmonics exhibit a growth rate that vanishes in the semiclassical limit, consistent with the classical dynamics having a zero Lyapunov exponent. These findings suggest that while spectral statistics can detect ergodicity, OTOC and the number of harmonics are diagnostics of chaos.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2022)

Article Physics, Multidisciplinary

Classical Physics and Blackbody Radiation

Jiao Wang, Giulio Casati, Giuliano Benenti

Summary: By numerically solving the classical equations of motion in a one-dimensional model, we investigated the properties of the blackbody spectrum. Our results, which do not rely on any statistical assumption, demonstrate that the classical blackbody spectrum possesses remarkable characteristics, including a quasi-stationary state with scaling properties, consistency with the Stefan-Boltzmann law, and a high-frequency cutoff. This study serves as a preliminary step in comprehending the statistical properties of infinite-dimensional systems.

PHYSICAL REVIEW LETTERS (2022)

Article Quantum Science & Technology

Micromasers as quantum batteries

Vahid Shaghaghi, Varinder Singh, Giuliano Benenti, Dario Rosa

Summary: This paper demonstrates that a micromaser serves as an excellent model for a quantum battery. It shows that a highly excited, pure, and effectively steady state of the cavity mode can be achieved even in the ultrastrong coupling regime. The stability of these features against coherence loss and the impact of counter-rotating terms in the interaction Hamiltonian are also discussed.

QUANTUM SCIENCE AND TECHNOLOGY (2022)

Article Physics, Multidisciplinary

Entanglement Dynamics and Classical Complexity

Jiaozi Wang, Barbara Dietz, Dario Rosa, Giuliano Benenti

Summary: We investigate the generation of entanglement in a two-body interacting system starting from a separable coherent state. By analyzing the system's classical dynamics, we find that the entanglement growth rate in the quasiclassical regime can be simply computed. This rate is determined by the Kolmogorov-Sinai entropy, indicating a connection between the generation of entanglement and classical complexity.

ENTROPY (2023)

Article Physics, Multidisciplinary

Generation of Pseudo-Random Quantum States on Actual Quantum Processors

Gabriele Cenedese, Maria Bondani, Dario Rosa, Giuliano Benenti

Summary: Generating a large amount of entanglement is crucial for a quantum computer to achieve quantum advantage. This paper proposes an efficient method to generate pseudo-random quantum states with nearly maximal multipartite entanglement. The method is argued to be optimal and is used to evaluate actual superconducting (IBM's ibm_lagos) and ion trap (IonQ's Harmony) quantum processors. Despite the lower error rates of ibm_lagos in single-qubit and two-qubit operations, Harmony outperforms it due to its low error rate in state preparation and measurement as well as the all-to-all connectivity of qubits. The findings highlight the importance of qubits network architecture in generating highly entangled states.

ENTROPY (2023)

Article Physics, Multidisciplinary

Correcting Coherent Errors by Random Operation on Actual Quantum Hardware

Gabriele Cenedese, Giuliano Benenti, Maria Bondani

Summary: Characterizing and mitigating errors in current noisy intermediate-scale devices is crucial for enhancing the performance of future quantum hardware. Through full quantum process tomography of single qubits in an actual quantum processor with echo experiments, we investigated the significance of various noise mechanisms in quantum computation. Our results unveiled the dominant role of coherent errors and demonstrated the practical correction of such errors by introducing random single-qubit unitaries in the quantum circuit, leading to a notable increase in the reliability of quantum computations on real quantum hardware.

ENTROPY (2023)

Review Physics, Multidisciplinary

Non-Fourier heat transport in nanosystems

Giuliano Benenti, Davide Donadio, Stefano Lepri, Roberto Livi

Summary: Energy transfer in small nano-sized systems can be very different from that in their macroscopic counterparts due to reduced dimensionality, interaction with surfaces, disorder, and large fluctuations. We provide an overview of recent advances in understanding non-diffusive heat transfer in these systems through nonequilibrium statistical mechanics and atomistic simulations. The underlying basic properties leading to violations of standard diffusive heat transport and the effects of long-range interaction and integrability on non-diffusive transport are discussed. We also explore the applications of these features in thermal management, rectification, and improving energy conversion efficiency.

RIVISTA DEL NUOVO CIMENTO (2023)

Article Multidisciplinary Sciences

Hybrid quantum thermal machines with dynamical couplings

Fabio Cavaliere, Luca Razzoli, Matteo Carrega, Giuliano Benenti, Maura Sassetti

Summary: This work investigates the performance of hybrid thermal machines that can simultaneously perform multiple tasks. Optimal working conditions for a three-terminal quantum thermal machine are characterized and identified, with the working medium being a quantum harmonic oscillator coupled to three heat baths. The study demonstrates efficient operation in both pure and hybrid modes, with the ability to switch between different operational modes by adjusting the driving frequency. The proposed setup also shows potential as a high-performance transistor.

ISCIENCE (2023)

Article Physics, Multidisciplinary

Efficiency and thermodynamic uncertainty relations of a dynamical quantum heat engine

Luca Razzoli, Fabio Cavaliere, Matteo Carrega, Maura Sassetti, Giuliano Benenti

Summary: In the pursuit of high-performance quantum thermal machines, considering fluctuations at the quantum level is crucial in addition to finding optimal thermodynamic efficiency. This paper investigates the thermodynamic uncertainty relations for a quantum thermal machine with a quantum harmonic oscillator as the working medium, connected to two thermal baths, with one of them being dynamically coupled. The study demonstrates that by adjusting parameters, the machine can function as both a quantum engine and refrigerator, achieving significant efficiency and low fluctuations.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2023)

Article Physics, Multidisciplinary

Dynamical heat engines with non-Markovian reservoirs

Fabio Cavaliere, Matteo Carrega, Giulio De Filippis, Vittorio Cataudella, Giuliano Benenti, Maura Sassetti

Summary: We discuss the possibility of realizing a heat engine by dynamically modulating the couplings between the quantum working medium and thermal reservoirs and identify suitable environments for optimizing its efficiency.

PHYSICAL REVIEW RESEARCH (2022)

Article Materials Science, Multidisciplinary

Voltage-amplified heat rectification in SIS junctions

Ilia Khomchenko, Henni Ouerdane, Giuliano Benenti

Summary: The control of thermal fluxes in electronic circuits at mesoscale and nanoscale can be achieved using thermal diodes. This study proposes using a superconductor-insulator-superconductor (SIS) junction under an oscillating voltage to control the heat flow. Theoretical models suggest a sharp rise in the rectification coefficient, up to R approximate to 500.

PHYSICAL REVIEW B (2022)

Article Physics, Fluids & Plasmas

Autonomous circular heat engine

Giuliano Benenti, Giulio Casati, Fabio Marchesoni, Jiao Wang

Summary: A dynamical model of a highly efficient heat engine is proposed, where an applied temperature difference maintains the motion of particles around a circuit consisting of two asymmetric narrow channels, in one of which the current flows against the applied thermodynamic forces. Numerical simulations and linear-response analysis suggest that, in the absence of frictional losses, the Carnot efficiency can be achieved in the thermodynamic limit.

PHYSICAL REVIEW E (2022)

Article Physics, Multidisciplinary

Optimized state transfer in systems of ultrastrongly coupled matter and radiation

L. Giannelli, J. Rajendran, N. Macri, G. Benenti, S. Montangero, E. Paladino, G. Falci

Summary: Ultrastrong coupling in superconducting circuit QED architectures allows for faster operations in the development of quantum technologies, although it also increases sensitivity to new kinds of intrinsic errors. By using optimal control methods, a resilient protocol against the main source of errors arising from the interplay of the dynamical Casimir effect with cavity losses is found.

NUOVO CIMENTO C-COLLOQUIA AND COMMUNICATIONS IN PHYSICS (2022)

Article Physics, Fluids & Plasmas

Extracting work from random collisions: A model of a quantum heat engine

Vahid Shaghaghi, G. Massimo Palma, Giuliano Benenti

Summary: This study examines the statistical distribution of ergotropy and efficiency in a single-qubit battery and a single-qubit Otto engine fueled by random collisions. The interactions between the qubit and two reservoirs are described using a collision model of open system dynamics, revealing fluctuations in ergotropy, heat, and work that decrease with the size of the qudits in the hot reservoir. Although the mean macroscopic efficiency of the Otto engine remains the same, the distribution of efficiencies does not support finite moments, resulting in a discrepancy between the mean efficiency and the macroscopic efficiency.

PHYSICAL REVIEW E (2022)

Article Quantum Science & Technology

Engineering Dynamical Couplings for Quantum Thermodynamic Tasks

Matteo Carrega, Loris Maria Cangemi, Giulio De Filippis, Vittorio Cataudella, Giuliano Benenti, Maura Sassetti

Summary: This study investigates the thermodynamic properties of quantum systems far from equilibrium, particularly when the system is strongly coupled to its environment or when memory effects cannot be neglected. The researchers find that by modulating the system-environment couplings, it is possible to perform thermodynamic tasks, such as extracting heat from a cold reservoir and realizing an ideal heat rectifier.

PRX QUANTUM (2022)

No Data Available