Work Statistics via Real-Time Effective Field Theory: Application to Work Extraction from Thermal Bath with Qubit Coupling
- URL: http://arxiv.org/abs/2502.18812v1
- Date: Wed, 26 Feb 2025 04:41:41 GMT
- Title: Work Statistics via Real-Time Effective Field Theory: Application to Work Extraction from Thermal Bath with Qubit Coupling
- Authors: Jhh-Jing Hong, Feng-Li Lin,
- Abstract summary: We study the possible work extraction via coupling the thermal bath to a qubit of either spin, fermion, or topological types.<n>The amount of work extraction is derived from the work statistics under a cyclic nonequilibrium process.
- Score: 0.023020018305241332
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum thermal states are known to be passive, as required by the second law of thermodynamics. This paper studies the possible work extraction via coupling the thermal bath to a qubit of either spin, fermion, or topological types, which acts as a quantum thermal state at different temperatures. The amount of work extraction is derived from the work statistics under a cyclic nonequilibrium process. Though the work statistics of many-body systems are known to be challenging to calculate explicitly, we propose an effective field theory approach to tackle this problem by assuming the externally driven source to couple to a specific quasiparticle operator of the thermal state. We show that the work statistics can be expressed succinctly in terms of this quasiparticle's thermal spectral function. We obtain the non-perturbative work distribution function (WDF) for the pure thermal bath without the qubit coupling. With qubit coupling, we get the second-order WDF, from which the physical regime of work extraction can be pinned down precisely to help devise quantum engines.
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