Contextuality in anomalous heat flow

Abstract

In classical thermodynamics, heat must spontaneously flow from hot to cold systems. In quantum thermodynamics, the same law applies when considering multipartite product thermal states evolving unitarily. If initial correlations are present, anomalous heat flow can happen, temporarily making cold thermal states colder and hot thermal states hotter. Such effect can happen due to entanglement, but also because of classical randomness, hence lacking a direct connection with nonclassicality. In this work, we introduce scenarios where anomalous heat flow \emph{does} have a direct link to nonclassicality, defined to be the failure of noncontextual models to explain experimental data. We start by extending known noncontextuality inequalities to a setup where sequential transformations are considered. We then show a class of quantum prepare-transform-measure protocols, characterized by time intervals $(0,{\tau }_c)$ for a given critical time ${\tau }_c$, where anomalous heat flow happens only if a noncontextuality inequality is violated. We also analyze a recent experiment from Micadei et. al. [Nat. Commun. 10, 2456 (2019)] and find the critical time ${\tau }_c$ based on their experimental parameters. We conclude by investigating heat flow in the evolution of two qutrit systems, showing that our findings are not an artifact of using two-qubit systems.

16+12 pages, 2 figures. Comments are welcome!

References in corpus (62)

• Quantum Thermodynamics
• The role of quantum information in thermodynamics --- a topical review
• Quantum Thermodynamics
• In defense of the epistemic view of quantum states: a toy theory
• Contextuality for preparations, transformations, and unsharp measurements
• Irreversible entropy production, from quantum to classical
• Einstein, incompleteness, and the epistemic view of quantum states
• Negativity and contextuality are equivalent notions of nonclassicality
• Experimental study of mutual information in a Maxwell Demon
• Quantum collision models: open system dynamics from repeated interactions
• Fluctuation Theorem with Information Exchange: Role of Correlations in Stochastic Thermodynamics
• Anomalous Weak Values Are Proofs of Contextuality
• An experimental test of noncontextuality without unwarranted idealizations
• Preparation contextuality powers parity-oblivious multiplexing
• Kochen-Specker Contextuality
• An introductory review of the resource theory approach to thermodynamics
• Perspective: Quantum Thermodynamics
• Reversing the direction of heat flow using quantum correlations
• The quasiprobability behind the out-of-time-ordered correlator
• Reconstruction of Gaussian quantum mechanics from Liouville mechanics with an epistemic restriction
• Entanglement and the Thermodynamic Arrow of Time
• Generalized Laws of Thermodynamics in the Presence of Correlations
• Contextual advantage for state discrimination
• Quantum fluctuation theorems, contextuality and work quasi-probabilities
• Maximally epistemic interpretations of the quantum state and contextuality
• Anomalous weak values and contextuality: robustness, tightness, and imaginary parts
• Certifying quantum signatures in thermodynamics and metrology via contextuality of quantum linear response
• Collision models in open system dynamics: A versatile tool for deeper insights?
• A quasiprobability distribution for heat fluctuations in the quantum regime
• Verschraenkung versus Stosszahlansatz: Disappearance of the Thermodynamic Arrow in a High-Correlation Environment
• Maximally and minimally correlated states attainable within a closed evolving system
• Kirkwood-Dirac quasiprobability approach to the statistics of incompatible observables
• Quantum circuits for measuring weak values, Kirkwood--Dirac quasiprobability distributions, and state spectra
• All the noncontextuality inequalities for arbitrary prepare-and-measure experiments with respect to any fixed sets of operational equivalences
• Why interference phenomena do not capture the essence of quantum theory
• Role of quantum coherence in the thermodynamics of energy transfer
• Experimentally bounding deviations from quantum theory in the landscape of generalized probabilistic theories
• Uniqueness of noncontextual models for stabilizer subtheories
• Contextual advantage for state-dependent cloning
• Preparation contextuality as an essential feature underlying quantum communication advantage
• Contextual advantages and certification for maximum confidence discrimination
• Exchange Fluctuation Theorem for correlated quantum systems
• Collisional unfolding of quantum Darwinism
• Robust preparation noncontextuality inequalities in the simplest scenario
• Imaginarity-free quantum multiparameter estimation
• Resource theory of contextuality for arbitrary prepare-and-measure experiments
• A SWAP gate for qudits
• Experimental certification of contextuality, coherence and dimension in a programmable universal photonic processor
• Contextuality without incompatibility
• A structure theorem for generalized-noncontextual ontological models
• Coherence and contextuality in a Mach-Zehnder interferometer
• Beyond the Cabello-Severini-Winter framework: Making sense of contextuality without sharpness of measurements
• Fundamental limits on anomalous energy flows in correlated quantum systems
• Discriminating mirror symmetric states with restricted contextual advantage
• Inequalities witnessing coherence, nonlocality, and contextuality
• Contextuality and The Single-Qubit Stabilizer Formalism
• A linear program for testing nonclassicality and an open-source implementation
• Ontological models, preparation contextuality and nonlocality
• Contextuality with vanishing coherence and maximal robustness to dephasing
• Correlations break homogenization
• Using a resource theoretic perspective to witness and engineer quantum generalized contextuality for prepare-and-measure scenarios
• Alternative robust ways of witnessing nonclassicality in the simplest scenario

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