The Duality in Quantum Work
arXiv:1903.01064 · doi:10.1103/PhysRevA.101.022113
Abstract
An open question of fundamental importance in quantum thermodynamics is how to describe the statistics of work for initial state with quantum coherence. In this paper, work statistics is considered from a fully new perspective of "wave-particle" duality. Based on the generalized quantum work measurement, predictability of energy levels and effectiveness of coherence are defined, and they obey inequality , which is the fundamental tradeoff relations between the contributions of population and coherence to quantum work distribution. As an application, we consider a driven two-level system and discuss the condition of the bound of above tradeoff relation. These results shed light on the effects of quantum coherence in quantum thermodynamics.
arXiv comment7 pages, 1 figure, published version
References in corpus (48)
- Many-Body Physics with Ultracold Gases
- Cavity Optomechanics
- A nonequilibrium equality for free energy differences
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Quantifying Coherence
- The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
- Entropy production along a stochastic trajectory and an integral fluctuation theorem
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Cavity Optomechanics
- Fluctuation theorems: Work is not an observable
- Generalized Jarzynski Equality under Nonequilibrium Feedback Control
- Three detailed fluctuation theorems
- Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
- Fluctuation theorems for stochastic dynamics
- Experimental reconstruction of work distribution and verification of fluctuation relations at the full quantum level
- Fluctuation Theorem for Arbitrary Open Quantum Systems
- Classical and Quantum Fluctuation Theorems for Heat Exchange
- Duality of Quantum Coherence and Path Distinguishability
- Relations between coherence and path information
- Fluctuation theorem for currents in open quantum systems
- No-go theorem for the characterisation of work fluctuations in coherent quantum systems
- Work measurement as a generalized quantum measurement
- Non-equilibrium quantum fluctuations of work
- Employing trapped cold ions to verify the quantum Jarzynski equality
- Quantitative wave-particle duality and non-erasing quantum erasure
- Delayed-choice test of complementarity with single photons
- Information gain and loss for a quantum Maxwell's demon
- A Quantum Fluctuation Theorem
- Fluctuation theorems in driven open quantum systems
- Fully quantum fluctuation theorems
- Full distribution of work done on a quantum system for arbitrary initial states
- Experimental test of the differential fluctuation theorem and a generalized Jarzynski equality for arbitrary initial states
- Using a quantum work meter to test non-equilibrium fluctuation theorems
- Jarzynski Relations for Quantum Systems and Some Applications
- Clock-work trade-off relation for coherence in quantum thermodynamics
- Thermodynamics of weakly measured quantum systems
- Entropic framework for wave-particle duality in multipath interferometers
- Probing Quantum Interference Effects in the Work Distribution
- Measuring work and heat in ultracold quantum gases
- Experimental verification of a Jarzynski-related information-theoretic equality using a single trapped ion
- Duality games and operational duality relations
- Measurement-dependent corrections to work distributions arising from quantum coherences
- Effects of Quantum Coherence on Work Statistics
- Generalized energy measurements and modified transient quantum fluctuation theorems
- Wave-Particle Duality in N-Path Interference
- Quantum Work in the Bohmian framework
- Coherent fluctuation relations: from the abstract to the concrete