Work and its fluctuations in a driven quantum system

Abstract

We analyze work done on a quantum system driven by a control field. The average work depends on the whole dynamics of the system, and is obtained as the integral of the average power operator. As a specific example we focus on a superconducting Cooper-pair box forming a two-level system. We obtain expressions for the average work and work distribution in a closed system, and discuss control field and environment contributions to the average work for an open system.

8 pages, 3 figures

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• Functional Integral approach to time-dependent heat exchange in open quantum systems: general method and applications
• Heat-exchange statistics in driven open quantum systems
• Lindblad equation approach for the full counting statistics of work and heat in driven quantum systems
• A universal approach to quantum thermodynamics in the strong coupling regime
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• Maxwell's Demon Based on a Single Qubit
• Incomplete measurement of work in a dissipative two level system
• Sensing Floquet-Majorana fermions via heat transfer
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• Moments of work in the two-point measurement protocol for a driven open quantum system
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• Thermodynamic fingerprints of non-Markovianity in a system of coupled superconducting qubits
• Heat distribution of a quantum harmonic oscillator
• Quantum fluctuation theorems and power measurements
• Experimentally reducing the quantum measurement back-action in work distributions by a collective measurement
• Quantum driving and work
• Universal approach to quantum thermodynamics of strongly coupled systems under nonequilibrium conditions and external driving
• Heat flux and information backflow in cold condensed matter systems
• Fluctuations of work in nearly adiabatically driven open quantum systems
• Quantum refrigerators in finite-time cycle duration
• Quasi-probabilities of work and heat in an open quantum system
• Measurement of work and heat in the classical and quantum regimes
• Power Fluctuations of An Irreversible Quantum Otto Engine
• A model for calorimetric measurements in an open quantum system
• Relating Heat and Entanglement in Strong Coupling Thermodynamics
• Stochastic thermodynamics of an electron-spin-resonance quantum dot system
• Spectral representation of the heat current in a driven Josephson junction
• Fluctuation Relation for Qubit-Calorimetry
• General theory for thermal and nonthermal quantum linear engines
• Comparison between quantum jumps and master equation in the presence of a finite environment
• Nonadiabatic evolution and thermodynamics of a time-dependent open quantum system
• Numerical study of non-adiabatic quantum thermodynamics of the driven resonant level model: Non-equilibrium entropy production and higher order corrections
• Computation of transient dynamics of energy power for a dissipative two state system
• Contributions to single-shot energy exchanges in open quantum systems
• A single measurement scheme for quantum work statistics based on coherent or squeezing state
• The distribution of work performed on a NIS junction
• Dynamical phase and quantum heat at fractional frequencies
• Quantum Non-Demolition Measurements and Leggett-Garg inequality
• Local energy and power for many-particle quantum systems driven by an external electrical field