Geometric Bound for Trade-off Relation in Quantum Tricycle

• URL: http://arxiv.org/abs/2510.12849v1
• Date: Tue, 14 Oct 2025 08:26:20 GMT
• Title: Geometric Bound for Trade-off Relation in Quantum Tricycle
• Authors: Shihao Xia, Jingyi Chen, Jincan Chen, Shanhe Su,
• Abstract summary: We develop a quantum tricycle driven by an external field and investigate its thermodynamic performance in the slow-driving regime.<n>Our findings unveil intrinsic limits to the performance of quantum thermal machines and highlight the role of geometry in shaping finite-time thermodynamics.<n>This work advances the fundamental understanding of quantum thermodynamic processes and offers guiding principles for the design of next-generation quantum technologies.
• Score: 4.111768786366098
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We establish a finite-time quantum tricycle driven by an external field and investigate its thermodynamic performance in the slow-driving regime. By developing a perturbative expansion of heat with respect to operation time, we capture the dynamics of heat exchange processes beyond the quasistatic limit. Within a geometric framework, we derive fundamental bounds on trade-offs between the cooling rate, coefficient of performance, and dissipation, governed by the thermodynamic length and trajectory geometry in control space. Our findings unveil intrinsic limits to the performance of quantum thermal machines and highlight the role of geometry in shaping finite-time thermodynamics. This work advances the fundamental understanding of quantum thermodynamic processes and offers guiding principles for the design of next-generation quantum technologies.

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