Quantum driving and work

Abstract

As quantum systems become more experimentally accessible, we are forced to reconsider the notions of control and work to fully account for quantum effects. To this end, we identify the work injected into a quantum system during a general quantum-mechanical driving protocol and quantify the relevant heat flows. The known results that are applicable in the limit of a classical drive are shown to emerge from our equations as a special case. Using the established framework, we show that the Bochkov--Kuzovlev identity for the exclusive work distribution is modified in a nontrivial way by the accumulation of system--drive correlations resulting from quantum backaction. Our results accentuate the conceptual and discernible differences between a fully quantum-mechanical and classical driving protocols of quantum systems.

9 pages, 2 figures

References in corpus (12)

• Fluctuation theorems: Work is not an observable
• Complete universal quantum gate set approaching fault-tolerant thresholds with superconducting qubits
• Fluctuation Theorem for Arbitrary Open Quantum Systems
• Test of Jarzynski and Crooks fluctuation relations in an electronic system
• Employing trapped cold ions to verify the quantum Jarzynski equality
• Fluctuation theorems in driven open quantum systems
• High-fidelity gates in a Josephson qubit
• Quantum work relations and response theory
• Local effective dynamics of quantum systems: A generalized approach to work and heat
• Jarzynski equation for a simple quantum system: Comparing two definitions of work
• Work and its fluctuations in a driven quantum system
• Generalized Coherent States as Preferred States of Open Quantum Systems

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• Quantum jump model for a system with a finite-size environment
• Quantum Work and Information Geometry of a Quantum Myers-Perry Black Hole
• Fluctuations of work in nearly adiabatically driven open quantum systems
• Quantum Thermodynamics of an ${\alpha }^{\prime }$-Corrected Reissner-Nordström Black Hole
• Validity of Born-Markov master equations for single and two-qubit systems
• Quantum Thermodynamics of an M2-M5 Brane System
• Joint measurability in nonequilibrium quantum thermodynamics
• Quantum Thermodynamics of a Quantum Sized AdS Black Hole
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• Assessment of weak-coupling approximations on a driven two-level system under dissipation
• The entropy production of thermal operations
• First Law of Quantum Thermodynamics in a Driven Open Two-Level System
• Comparison between quantum jumps and master equation in the presence of a finite environment
• Local energy and power for many-particle quantum systems driven by an external electrical field