Quantum Thermodynamics

Abstract

About the Authors

Prologue

1 The principles of modern thermodynamics

1.1 A phenomenological theory of heat and work

1.1.1 The five laws of thermodynamics

1.1.2 Finite-time thermodynamics and endoreversibility

1.2 The advent of Stochastic Thermodynamics

1.2.1 Microscopic dynamics

1.2.2 Stochastic energetics

1.2.3 Jarzynski equality and Crooks theorem

1.3 Foundations of statistical physics from quantum entanglement

1.3.1 Entanglement assisted invariance

1.3.2 Microcanonical state from envariance

1.3.3 Canonical state from quantum envariance

1.4 Work, heat, and entropy production

1.4.1 Quantum work and quantum heat

1.4.2 Quantum entropy production

1.4.3 Two-time energy measurement approach

1.4.4 Quantum fluctuation theorem for arbitrary observables

1.4.5 Quantum entropy production in phase space

1.5 Checklist for “The principles of modern thermodynamics”

1.6 Problems

References

2 Thermodynamics of Quantum Systems

2.1 Quantum thermometry

2.1.1 Thermometry for Harmonic Spectra

2.1.2 Optimal Thermometers

2.2 Quantum heat engines – engines with atomic working fluids

2.2.1 The Otto Cycle: Classical to quantum formulation

2.2.2 A two-level Otto cycle

2.2.3 Endoreversible Otto cycle

2.3 Work extraction from quantum systems

2.3.1 Work extraction from arrays of quantum batteries

2.3.2 Powerful charging of quantum batteries

2.4 Quantum decoherence and the tale of quantum Darwinism

2.4.1 Work, heat, and entropy production for dynamical semigroups

2.4.2 Entropy production as correlation

2.4.3 Quantum Darwinism: Emergence of classical objectivity

2.5 Checklist for “Thermodynamics of Quantum Systems”

2.6 Problems

References

3 Thermodynamics of Quantum Information

3.1 Quantum thermodynamics of information

3.1.1 Thermodynamics of classical information processing

3.1.2 A quantum sharpening of Landauer’s bound

3.1.3 New Landauer bounds for non-equilibrium quantum systems

3.2 Performance diagnostics of quantum annealers

3.2.1 Fluctuation theorem for quantum annealers

3.2.2 Experimental test on the D-Wave machine

3.3 Kibble-Zurek Scaling of Irreversible Entropy

3.3.1 Fundamentals of the Kibble-Zurek mechanism

3.3.2 Example: the Landau-Zener model

3.3.3 Kibble-Zurek mechanism and entropy production

3.4 Error correction in adiabatic quantum computers

3.4.1 Quantum error correction in quantum annealers

3.4.2 Adiabatic quantum computing – A case for shortcuts to adiabaticity

3.4.3 Counterdiabatic Hamiltonian for scale-invariant driving

3.5 Checklist for “Thermodynamics of Quantum Information”

3.6 Problems

References

Epilogue

List of figures

Acknowledgments