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Geometric thermodynamics in open quantum systems: Coherence, curvature, and work
1Department of Physics, University of Houston, Houston, Texas 77204, USA.
The Journal of Chemical Physics
|May 20, 2026
Summary
We developed a geometric framework for open quantum systems thermodynamics. Quantum coherence can reduce or reverse work by altering geometric curvature, impacting thermodynamic cycles.
Area of Science:
- Quantum Thermodynamics
- Geometric Frameworks
- Open Quantum Systems
Background:
- Classical thermodynamics relies on geometric principles for work calculation.
- Open quantum systems introduce complexities due to environmental interactions and coherence.
- Understanding work in quasistatic processes is crucial for quantum thermodynamics.
Purpose of the Study:
- To formulate a geometric framework for quasistatic thermodynamics in open quantum systems.
- To investigate the role of quantum coherence in thermodynamic work.
- To establish an open-system analog of classical thermodynamic area laws.
Main Methods:
- Parameterizing dynamics on a control manifold.
- Analyzing the flux of a curvature two-form (W ∼∫Ω).
- Utilizing a fixed-basis Lindblad model for nonequilibrium stationary states.
Main Results:
- Work is analogous to curvature flux (W ∼∫Ω) in open quantum systems.
- Quantum coherence reshapes curvature, making it anisotropic and sign-changing.
- Coherence enables geometric cancellation or reversal of work despite dissipation.
Conclusions:
- Thermodynamic work in open quantum systems is a curvature flux.
- Quantum coherence fundamentally alters the geometric structure of work.
- Basis misalignment between Hamiltonian and environment dictates work's geometric properties.
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