Using a quantum work meter to test non-equilibrium fluctuation theorems
arXiv:1706.07866 · doi:10.1038/s41467-017-01308-7
Abstract
Non-equilibrium quantum thermodynamics is essential to describe new devices that operate far from the regime where the usual thermodynamical laws are obeyed. When quantum fluctuations dominate, defining and measuring work and heat, two central concepts in classical thermodynamics, is non-trivial. For driven, but otherwise isolated, quantum systems, work is a random variable associated with the change in the internal energy, as the first law of thermodynamics indicates. In this paper we present the design and the experimental implementation of a quantum work meter (QWM) operating on an ensemble of cold atoms. Our QWM not only directly measures work but also directly samples its probability distribution. As the work probability distribution plays a central role in the fluctuation theorems of non-equilibrium quantum thermodynamics, the QWM is an ideal tool to test their validity. In particular, we use it to verify the Jarzynski identity.
Final, published version
References in corpus (24)
- 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
- Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
- The role of quantum information in thermodynamics --- a topical review
- Fluctuation theorems: Work is not an observable
- Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
- Experimental reconstruction of work distribution and verification of fluctuation relations at the full quantum level
- Extracting quantum work statistics and fluctuation theorems by single qubit interferometry
- Measuring the characteristic function of the work distribution
- No-go theorem for the characterisation of work fluctuations in coherent quantum systems
- Work measurement as a generalized quantum measurement
- Coherence and measurement in quantum thermodynamics
- Employing trapped cold ions to verify the quantum Jarzynski equality
- Fifteen Years of Cold Matter on the Atom Chip: Promise, Realizations, and Prospects
- A Quantum Fluctuation Theorem
- Full distribution of work done on a quantum system for arbitrary initial states
- Jarzynski Relations for Quantum Systems and Some Applications
- A self-interfering clock as a "which path" witness
- Measuring work and heat in ultracold quantum gases
- Measurement-dependent corrections to work distributions arising from quantum coherences
- Generalized energy measurements and modified transient quantum fluctuation theorems
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- An operational approach to quantum stochastic thermodynamics
- Energy dynamics, heat production and heat-work conversion with qubits: towards the development of quantum machines
- Heat and work along individual trajectories of a quantum bit
- Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems
- Experimental verification of fluctuation relations with a quantum computer
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- Quasiprobabilities in quantum thermodynamics and many-body systems
- Experimental test of exchange fluctuation relations in an open quantum system
- Experimental Validation of Fully Quantum Fluctuation Theorems Using Dynamic Bayesian Networks
- Autonomous dissipative Maxwell's demon in a diamond spin qutrit
- Quantum Work in the Bohmian framework
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- An autonomous quantum machine to measure the thermodynamic arrow of time
- Experimentally reducing the quantum measurement back-action in work distributions by a collective measurement
- Quantum Non-demolition Measurement of a Many-Body Hamiltonian
- Not quite free shortcuts to adiabaticity
- Work-distribution quantumness and irreversibility when crossing a quantum phase transition in finite time
- Quantum refrigerators in finite-time cycle duration
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- Nonequilibrium thermodynamics of quantum coherence beyond linear response
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- Two-point measurement of entropy production from the outcomes of a single experiment with correlated photon pairs
- Dynamics of a strongly coupled quantum heat engine -- computing bath observables from the hierarchy of pure states
- Conditional entropy production and quantum fluctuation theorem of dissipative information: Theory and experiments
- Non-equilibrium aspects of integrable models
- Generalized energy measurements and quantum work compatible with fluctuation theorems
- Fluctuation relations and strong inequalities for thermally isolated systems
- Work statistics for sudden quenches in interacting quantum many-body systems
- Inferring work by quantum superposing forward and time-reversal evolutions
- Semiclassical approach to the work distribution
- Quantum Work of an Optical Lattice
- Nonequilibrium quantum thermodynamics of determinantal many-body systems: Application to the Tonks-Girardeau and ideal Fermi gases
- Energetic fluctuations in an open quantum process
- The role of quantum work statistics in many-body physics
- Gauge invariant quantum thermodynamics: consequences for the first law
- Easy access to energy fluctuations in non-equilibrium quantum many-body systems
- Generalised linear response theory for the full quantum work statistics
- Constraining work fluctuations of non-Hermitian dynamics across the exceptional point of a superconducting qubit
- Quantum-heat fluctuation relations in -level systems under projective measurements
- Nonequilibrium thermodynamics and optimal cooling of a dilute atomic gas
- Two-point measurement energy statistics from particle scattering
- Quasiprobability fluctuation theorem behind the spread of quantum information
- Entropic Fluctuations in Statistical Mechanics II. Quantum Dynamical Systems
- Ancilla-assisted measurement of quantum work
- Connecting scrambling and work statistics for short-range interactions in the harmonic oscillator
- Role of topology on the work distribution function of a quenched Haldane model of graphene
- Quantum quench thermodynamics at high temperatures
- A Wigner quasiprobability distribution of work
- The Duality in Quantum Work
- A single measurement scheme for quantum work statistics based on coherent or squeezing state
- Classical Theory of Quantum Work Distribution in Chaotic Fermion Systems
- Revising the quantum work fluctuation framework to encompass energy conservation
- Operational work fluctuation theorem for open quantum systems
- Finite resolution ancilla-assisted measurements of quantum work distributions
- Modified Jarzynski equality in a microcanonical ensemble
- Measuring work in quantum many-body systems using a dynamical "work agent"
- Fluctuation theorems with optical tweezers: theory and practice
- Experimental demonstration of generalized quantum fluctuation theorems in the presence of coherence
- Superdiffusive quantum work and adiabatic quantum evolution in finite temperature chaotic Fermi systems
- On the energetic analysis of autonomous quantum systems
- Scale invariant distribution functions in quantum systems with few degrees of freedom
- Quantum thermodynamics under continuous monitoring: a general framework
- Non-destructively probing the thermodynamics of quantum systems with qumodes