Quantum thermoelectric transmission functions with minimal current fluctuations

• URL: http://arxiv.org/abs/2106.10205v4
• Date: Thu, 23 Jan 2025 13:30:59 GMT
• Title: Quantum thermoelectric transmission functions with minimal current fluctuations
• Authors: Andre M. Timpanaro, Giacomo Guarnieri, Gabriel T. Landi,
• Abstract summary: Thermodynamic uncertainty relations (TURs) represent a benchmark result in nonequilibrium physics. We rigorously demonstrate that the transmission function which maximizes the reliability of thermoelectric devices is a collection of boxcar functions. This allows us to show that TURs can be violated by arbitrarily large amounts, depending on the temperature and chemical potential gradients.
• Score: 0.0
• License:
• Abstract: Thermodynamic uncertainty relations (TURs) represent a benchmark result in nonequilibrium physics that allows to place fundamental lower bounds on the noise-to-signal ratio (precision) of currents in nanoscale devices. Originally formulated for classical time-homogeneous Markov processes, these relations, were shown to be violated in thermoelectric engines and photovoltaic devices supporting quantum-coherent transport. However, the extent to which these violations may occur still represents a missing piece of the puzzle. In this work, we provide such answer in a definitive way within the general Landauer-B\"uttiker formalism for noninteracting systems, beyond any perturbative regime, e.g., linear response. In particular, using analytical constrained-optimization techniques, we rigorously demonstrate that the transmission function which maximizes the reliability of thermoelectric devices (i.e., which minimizes the fluctuations of its steady-state currents) for fixed average power and efficiency is a collection of boxcar functions. This allows us to show that TURs can be violated by arbitrarily large amounts, depending on the temperature and chemical potential gradients, thus providing guidelines to the design of optimal devices.

Related papers

• Thermodynamic Uncertainty Relations for Coherent Transport [0.0]
  We derive a universal thermodynamic uncertainty relation for Fermionic coherent transport. We show that coherent thermoelectric heat engines and refrigerators can attain ideal efficiency only at vanishing mean power or diverging power fluctuations.
  arXiv  Detail & Related papers  (2025-02-11T19:45:09Z)
• Electron-Electron Interactions in Device Simulation via Non-equilibrium Green's Functions and the GW Approximation [71.63026504030766]
  electron-electron (e-e) interactions must be explicitly incorporated in quantum transport simulation. This study is the first one reporting large-scale atomistic quantum transport simulations of nano-devices under non-equilibrium conditions.
  arXiv  Detail & Related papers  (2024-12-17T15:05:33Z)
• Synchronization-induced violation of thermodynamic uncertainty relations [0.0]
  We explore the possibility that TURs are violated, particularly for quantum systems, leading to accurate currents at lower cost. Our results pave the way for the use of synchronization in the thermodynamics of precision.
  arXiv  Detail & Related papers  (2024-04-25T18:00:03Z)
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models [0.0]
  We study the non-equilibrium dynamics of a one-dimensional complex Sachdev-Ye-Kitaev chain. We explore the thermoelectric transport properties of this system by imposing uniform temperature and chemical potential gradients.
  arXiv  Detail & Related papers  (2022-04-12T18:00:36Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Fast Thermalization from the Eigenstate Thermalization Hypothesis [69.68937033275746]
  Eigenstate Thermalization Hypothesis (ETH) has played a major role in understanding thermodynamic phenomena in closed quantum systems. This paper establishes a rigorous link between ETH and fast thermalization to the global Gibbs state. Our results explain finite-time thermalization in chaotic open quantum systems.
  arXiv  Detail & Related papers  (2021-12-14T18:48:31Z)
• Dephasing-enhanced performance in quasiperiodic thermal machines [0.0]
  We study the finite-temperature electric and heat transport of the Fibonacci model in linear response. We find that the thermal and electric conductivities have multiple peaks as a function of dephasing strength. We argue that this feature can be utilized to enhance performance of quantum thermal machines.
  arXiv  Detail & Related papers  (2021-12-03T17:33:26Z)
• Measurement of the Low-temperature Loss Tangent of High-resistivity Silicon with a High Q-factor Superconducting Resonator [58.720142291102135]
  We present the direct loss tangent measurement of a high-resist intrinsicivity (100) silicon wafer in the temperature range from 70 mK to 1 K. The measurement was performed using a technique that takes advantage of a high quality factor superconducting niobium resonator.
  arXiv  Detail & Related papers  (2021-08-19T20:13:07Z)
• Adiabatic Sensing Technique for Optimal Temperature Estimation using Trapped Ions [64.31011847952006]
  We propose an adiabatic method for optimal phonon temperature estimation using trapped ions. The relevant information of the phonon thermal distributions can be transferred to the collective spin-degree of freedom. We show that each of the thermal state probabilities is adiabatically mapped onto the respective collective spin-excitation configuration.
  arXiv  Detail & Related papers  (2020-12-16T12:58:08Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)
• Coherent Transport in Periodically Driven Mesoscopic Conductors: From Scattering Matrices to Quantum Thermodynamics [0.0]
  Floquet scattering amplitudes describe the transition of a transport carrier through a periodically driven sample. We show that this framework is inherently consistent with the first and the second law of thermodynamics. We derive a generalized Green-Kubo relation, which makes it possible to express the response of any mean currents to small variations of temperature and chemical potential.
  arXiv  Detail & Related papers  (2020-02-25T17:34:31Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.