The Passivity Deformation Approach for the Thermodynamics of Isolated Quantum Setups

Abstract

Recently implemented quantum devices such as quantum processors and quantum simulators combine highly complicated quantum dynamics with high-resolution measurements. We present a passivity deformation methodology that sets thermodynamic constraints on the evolution of such quantum devices. This framework enhances the thermodynamic predictive power by simultaneously resolving four of the cardinal deficiencies of the second law in microscopic setups: i) It yields tight bounds even when the environment is microscopic; ii) The ultra-cold catastrophe is resolved; iii) It enables to integrate conservation laws into thermodynamic inequalities for making them tighter; iv) it bounds observables that are not energy-based, and therefore do not appear in the second law of thermodynamics. Furthermore, this framework provides insights to non-thermal environments, correlated environments, and to coarse-graining in microscopic setups. Our findings can be explored and used in physical setups such as trapped ions, superconducting circuits, neutral atoms in optical lattices and more.

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References in corpus (35)

• Quantum Thermodynamics
• The role of quantum information in thermodynamics --- a topical review
• Fundamental limitations for quantum and nano thermodynamics
• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• The second laws of quantum thermodynamics
• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• Maximal work extraction from quantum systems
• Entropy production as correlation between system and reservoir
• The resource theory of informational nonequilibrium in thermodynamics
• Quantum-enhanced absorption refrigerators
• Extractable Work from Correlations
• The Quantum Absorption Refrigerator
• Quantum absorption refrigerator with trapped ions
• Quantum engine efficiency bound beyond the second law of thermodynamics
• First and Second Law of Thermodynamics at strong coupling
• An introductory review of the resource theory approach to thermodynamics
• Performance bound for quantum absorption refrigerators
• Quantum thermal absorption machines: refrigerators, engines and clocks
• Coherence-assisted single-shot cooling by quantum absorption refrigerators
• Entanglement and the Thermodynamic Arrow of Time
• Autonomous quantum thermal machine for generating steady-state entanglement
• The Wigner Entropy Production Rate
• Stochastic thermodynamics in the strong coupling regime: An unambiguous approach based on coarse-graining
• Quantum coarse-grained entropy and thermodynamics
• Realising a quantum absorption refrigerator with an atom-cavity system
• Entropy Production in Open Systems: The Predominant Role of Intra-Environment Correlations
• Quantum coarse-grained entropy and thermalization in closed systems
• Entropy production and time-asymmetry in the presence of strong interactions
• Second laws under control restrictions
• The multilevel four-stroke swap engine and its environment
• Landauer's principle at zero temperature
• Critical heat current for operating an entanglement engine
• Quantum fluctuation theorem to benchmark quantum annealers
• Global passivity in microscopic thermodynamics
• Quantum features of entropy production in driven-dissipative transitions

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• Initial-state-dependent quantum speed limit for dissipative state preparation: Framework and optimization
• Characterizing the spontaneous collapse of a wavefunction through entropy production
• Continuous Three-level Quantum Heat Engine with High Performance Under Medium Temperature Difference
• Work Fluctuations in Ergotropic Heat Engines
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• Catalytic transformations with finite-size environments: applications to cooling and thermometry
• Non-equilibrium thermodynamics of gravitational objective-collapse models
• Work, entropy production, and thermodynamics of information under protocol constraints
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