Duality in quantum work

  title={Duality in quantum work},
  author={Bao-Ming Xu and Z. C. Tu and Jian Zou},
  journal={Physical Review A},
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 $\mathcal{D}_W$ and effectiveness of coherence $\mathcal{V}_W$ are defined, and they obey inequality $\mathcal{D}_W^2+\mathcal{V}_W^2\leq1$, which is the… 
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Clock-Work Trade-Off Relation for Coherence in Quantum Thermodynamics.
A clock-work trade-off relation can be viewed as a form of time-energy conjugate relation within quantum thermodynamics that bounds the total maximum of clock and work resources for a given system.
Effects of quantum coherence on work statistics
In the conventional two-point measurement scheme of quantum thermodynamics, quantum coherence is destroyed by the first measurement. But as we know the coherence really plays an important role in the
No-Go Theorem for the Characterization of Work Fluctuations in Coherent Quantum Systems.
Improvements do appear, and in particular, a measurement scheme is developed that acts simultaneously on two copies of the state and allows us to describe a whole class of coherent transformations.
Nonequilibrium quantum fluctuations of work.
  • A. Allahverdyan
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2014
A definition of fluctuating work is proposed that is free of previous drawbacks and that allows the deduction of a generalized work-fluctuation theorem that applies for an arbitrary (out-of-equilibrium) initial state.
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The authors design a scheme to directly sample from the work probability distribution, and use it to verify the validity of the quantum version of the Jarzynksi identity using cold atoms on an atomic chip.
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At nonzero temperature classical systems exhibit statistical fluctuations of thermodynamic quantities arising from the variation of the system's initial conditions and its interaction with the
Full distribution of work done on a quantum system for arbitrary initial states.
It is shown that the quantum coherence of the initial state can lead to measurable effects on the moments of the work done on the system, and the known results are recovered if theinitial state is a statistical mixture of energy eigenstates.
Colloquium: Quantum fluctuation relations: Foundations and applications
Two fundamental ingredients play a decisive role in the foundation of fluctuation relations: the principle of microreversibility and the fact that thermal equilibrium is described by the Gibbs
Thermodynamics of Weakly Measured Quantum Systems.
We consider continuously monitored quantum systems and introduce definitions of work and heat along individual quantum trajectories that are valid for coherent superposition of energy eigenstates. We