Quantumness and thermodynamic uncertainty relation of finite-time Otto cycle

• URL: http://arxiv.org/abs/2011.05699v3
• Date: Wed, 3 Mar 2021 06:51:30 GMT
• Title: Quantumness and thermodynamic uncertainty relation of finite-time Otto cycle
• Authors: Sangyun Lee, Meesoon Ha and Hawoong Jeong
• Abstract summary: We study the quantum Otto cycle and its classical counterpart. In the quasistatic limit, quantumness reduces the productivity and precision of the Otto cycle. In the finite-time mode, both quantum and classical Otto cycles violate the conventional thermodynamic uncertainty relation.
• Score: 0.12891210250935145
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: To reveal the role of the quantumness in the Otto cycle and to discuss the validity of the thermodynamic uncertainty relation (TUR) in the cycle, we study the quantum Otto cycle and its classical counterpart. In particular, we calculate exactly the mean values and relative error of thermodynamic quantities. In the quasistatic limit, quantumness reduces the productivity and precision of the Otto cycle compared to that in the absence of quantumness, whereas in the finite-time mode, it can increase the cycle's productivity and precision. Interestingly, as the strength (heat conductance) between the system and the bath increases, the precision of the quantum Otto cycle overtakes that of the classical one. Testing the conventional TUR of the Otto cycle, in the region where the entropy production is large enough, we find a tighter bound than that of the conventional TUR. However, in the finite-time mode, both quantum and classical Otto cycles violate the conventional TUR in the region where the entropy production is small. This implies that another modified TUR is required to cover the finite-time Otto cycle. Finally, we discuss the possible origin of this violation in terms of the uncertainty products of the thermodynamic quantities and the relative error near resonance conditions.

Related papers

• A family of thermodynamic uncertainty relations valid for general fluctuation theorems [0.0]
  We derive a family of TURs that explores higher order moments of the entropy production. The resulting bound holds in both classical and quantum regimes. We draw a connection between our TURs and the existence of correlations between the entropy production and the thermodynamic quantity under consideration.
  arXiv  Detail & Related papers  (2024-07-15T02:00:53Z)
• Thermodynamic uncertainty relation for quantum entropy production [0.0]
  In quantum thermodynamics, entropy production is usually defined in terms of the quantum relative entropy between two states. In the absence of coherence between the states, our result reproduces classic TURs in thermodynamics.
  arXiv  Detail & Related papers  (2024-04-28T12:36:35Z)
• Quantum relative entropy uncertainty relation [0.0]
  For classic systems, the fluctuations of a current have a lower bound in terms of the entropy production. We generalize this idea for quantum systems, where we find a lower bound for the uncertainty of quantum observables given in terms of the quantum relative entropy. We apply the result to obtain a quantum thermodynamic uncertainty relation in terms of the quantum entropy production, valid for arbitrary dynamics and non-thermal environments.
  arXiv  Detail & Related papers  (2023-09-15T18:58:51Z)
• Dynamically Emergent Quantum Thermodynamics: Non-Markovian Otto Cycle [49.1574468325115]
  We revisit the thermodynamic behavior of the quantum Otto cycle with a focus on memory effects and strong system-bath couplings. Our investigation is based on an exact treatment of non-Markovianity by means of an exact quantum master equation.
  arXiv  Detail & Related papers  (2023-08-18T11:00:32Z)
• Quantum Thermodynamic Uncertainty Relations, Generalized Current Fluctuations and Nonequilibrium Fluctuation-Dissipation Inequalities [0.0]
  Thermodynamic uncertainty relations (TURs) represent one of the few broad-based and fundamental relations in our toolbox for tackling the thermodynamics of nonequilibrium systems. We show how TURs are rooted in the quantum uncertainty principles and the fluctuation-dissipation inequalities (FDI) under fully nonequilibrium conditions.
  arXiv  Detail & Related papers  (2022-06-20T15:26:53Z)
• Gauge Quantum Thermodynamics of Time-local non-Markovian Evolutions [77.34726150561087]
  We deal with a generic time-local non-Markovian master equation. We define current and power to be process-dependent as in classical thermodynamics. Applying the theory to quantum thermal engines, we show that gauge transformations can change the machine efficiency.
  arXiv  Detail & Related papers  (2022-04-06T17:59:15Z)
• 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)
• The quantum Otto cycle in a superconducting cavity in the non-adiabatic regime [62.997667081978825]
  We analyze the efficiency of the quantum Otto cycle applied to a superconducting cavity. It is shown that, in a non-adiabatic regime, the efficiency of the quantum cycle is affected by the dynamical Casimir effect.
  arXiv  Detail & Related papers  (2021-11-30T11:47:33Z)
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
  Quantum-body systems display rich phase structure in their low-temperature equilibrium states. We experimentally observe an eigenstate-ordered DTC on superconducting qubits. Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
  arXiv  Detail & Related papers  (2021-07-28T18:00:03Z)
• Violating the Thermodynamic Uncertainty Relation in the Three-Level Maser [0.0]
  The Thermodynamic Uncertainty Relation (TUR) provides a trade-off between output power, fluctuations and entropic cost. This letter provides a study of the TUR in a prototypical quantum heat engine, the Scovil & Schulz-DuBois maser.
  arXiv  Detail & Related papers  (2021-03-13T21:02:46Z)
• Analog cosmological reheating in an ultracold Bose gas [58.720142291102135]
  We quantum-simulate the reheating-like dynamics of a generic cosmological single-field model in an ultracold Bose gas. Expanding spacetime as well as the background oscillating inflaton field are mimicked in the non-relativistic limit. The proposed experiment has the potential of exploring the evolution up to late times even beyond the weak coupling regime.
  arXiv  Detail & Related papers  (2020-08-05T18:00:26Z)

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.