Quantum superposition of thermodynamic evolutions with opposing time's arrows

Abstract

Microscopic physical laws are time-symmetric, hence, a priori there exists no preferential temporal direction. However, the second law of thermodynamics allows one to associate the "forward" temporal direction to a positive variation of the total entropy produced in a thermodynamic process, and a negative variation with its "time-reversal" counterpart. This definition of a temporal axis is normally considered to apply in both classical and quantum contexts. Yet, quantum physics admits also superpositions between forward and time-reversal processes, whereby the thermodynamic arrow of time becomes quantum-mechanically undefined. In this work, we demonstrate that a definite thermodynamic time's arrow can be restored by a quantum measurement of entropy production, which effectively projects such superpositions onto the forward (time-reversal) time-direction when large positive (negative) values are measured. Remarkably, for small values (of the order of plus or minus one), the amplitudes of forward and time-reversal processes can interfere, giving rise to entropy-production distributions featuring a more or less reversible process than either of the two components individually, or any classical mixture thereof.

arXiv comment15 pages, 6 figures. Accepted version

References in corpus (35)

• A nonequilibrium equality for free energy differences
• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Reference frames, superselection rules, and quantum information
• Fluctuation theorems: Work is not an observable
• Quantum correlations with no causal order
• Quantum computations without definite causal structure
• Catalytic Coherence
• Dissipation: The phase-space perspective
• Irreversible entropy production, from quantum to classical
• Experimental reconstruction of work distribution and verification of fluctuation relations at the full quantum level
• The extraction of work from quantum coherence
• Extracting quantum work statistics and fluctuation theorems by single qubit interferometry
• Experimental Verification of an Indefinite Causal Order
• Perfect discrimination of no-signalling channels via quantum superposition of causal structures
• Measuring the characteristic function of the work distribution
• Entropy production and the arrow of time
• No-go theorem for the characterisation of work fluctuations in coherent quantum systems
• Work measurement as a generalized quantum measurement
• Emergent thermodynamics in a quenched quantum many-body system
• Irreversibility and the arrow of time in a quenched quantum system
• Entanglement and the Thermodynamic Arrow of Time
• Quantum work relations and response theory
• A quantum solution to the arrow-of-time dilemma
• Bayesian estimates of free energies from nonequilibrium work data in the presence of instrument noise
• Work estimation and work fluctuations in the presence of non-ideal measurements
• Measuring work and heat in ultracold quantum gases
• Clock-Driven Quantum Thermal Engines
• Heat dissipation and fluctuations in a driven quantum dot
• On the Relation between the Psychological and Thermodynamic Arrows of Time
• Is coherence catalytic?
• Comment on `Quantum resolution to the arrow of time dilemma'
• Conditional work statistics of quantum measurements

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