arxiv: 2605.13685 · v1 · submitted 2026-05-13 · 🪐 quant-ph · cond-mat.stat-mech· math-ph· math.MP

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Berry-Phase-Induced Chirality in Thermodynamics

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Pith reviewed 2026-05-14 18:18 UTC · model grok-4.3

classification 🪐 quant-ph cond-mat.stat-mechmath-phmath.MP

keywords Berry phasechiral workdissipative adiabatic expansionopen quantum systemsgeometric thermodynamicsdecoherencequantum work

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The pith

Berry phase produces a chiral work difference in open quantum systems that persists after decoherence.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper develops a dissipative adiabatic perturbation expansion to examine thermodynamic work when a quantum system is driven slowly while coupled to an environment. It finds that the geometric Berry phase accumulated along the driving path creates an asymmetry: the work extracted for a cycle in one direction differs from the opposite direction. This chiral difference begins as an interference effect in closed systems but remains as a direct signal once decoherence is introduced. The result shows that quantum geometry continues to shape thermodynamic quantities even when coherence is lost.

Core claim

Developing a dissipative adiabatic perturbation expansion, we discover a Berry-phase-induced chiral work difference that survives decoherence. This chirality evolves from an interferometric thermodynamic Aharonov-Bohm effect in the unitary regime to a fringe-free signal in the dissipative regime. The framework is illustrated in a two-level system and its experimental feasibility is assessed, clarifying the role of quantum geometry in the geometric formulation of thermodynamics.

What carries the argument

The dissipative adiabatic perturbation expansion, which isolates the leading Berry-phase contribution to work even when decoherence is present.

If this is right

In the unitary limit the chiral work difference appears through interference analogous to a thermodynamic Aharonov-Bohm effect.
In the presence of decoherence the chirality becomes a direct, non-interferometric observable.
The effect is concretely realized in a driven two-level system and can be tested with current experimental control.
Quantum geometry enters the thermodynamic description of open systems through this persistent chiral term.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

Thermodynamic cycles could be designed to extract direction-dependent work even in noisy environments by exploiting Berry phases.
Similar geometric contributions may appear in heat currents or entropy production for other open-system protocols.
The expansion technique offers a route to include geometric phases in fluctuation theorems for driven open systems.

Load-bearing premise

The dissipative adiabatic perturbation expansion remains valid and isolates the leading-order chiral contribution when decoherence is present.

What would settle it

Measuring equal work for clockwise and counterclockwise adiabatic cycles in a driven two-level system with controlled decoherence would show the chiral difference does not survive.

read the original abstract

Geometric phases are foundational to isolated quantum systems, yet their thermodynamic role in open systems remains unrevealed Developing a dissipative adiabatic perturbation expansion, we discover a Berry-phase-induced chiral work difference that survives decoherence. This chirality evolves from an interferometric thermodynamic Aharonov-Bohm effect in the unitary regime to a fringe-free signal in the dissipative regime. We illustrate this framework in a two-level system and assess its experimental feasibility. Our findings clarify the role of quantum geometry in the geometric formulation of thermodynamics.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

The paper claims a dissipative adiabatic perturbation expansion reveals Berry-phase chirality in work that survives decoherence, which is new if the math holds.

read the letter

The main takeaway is that the authors extend adiabatic perturbation theory into the dissipative regime and find that Berry phase can still produce a chiral difference in thermodynamic work, even after decoherence sets in. This seems to be the novel part, as prior work on Berry phase in thermodynamics was mostly for closed systems. They handle the transition from the unitary interferometric Aharonov-Bohm effect to a fringe-free signal reasonably, and the two-level system illustration shows how this might look in practice. Mentioning experimental feasibility is a plus for making the result more than purely formal. The framework they build could help in thinking about geometric contributions to heat and work in non-equilibrium settings. The soft spot is the reliance on the perturbative expansion without much visible discussion of its range of validity or higher-order corrections. The abstract presents the discovery cleanly, but to assess if the chiral work difference is robust, one needs to see how they derive the leading term and whether decoherence terms interfere at that order. If the full paper has solid bounds on the approximation, that would strengthen it, but right now the central claim rests on that step holding up. This is for specialists in quantum geometric thermodynamics or open-system quantum engines. A reader already working on similar geometric formulations would get the most out of it, as it suggests a new way to think about chirality in work extraction. It might not shift the broader field much, but it adds a specific mechanism worth checking. I would recommend sending it for peer review. The connection between quantum geometry and thermodynamics is worth exploring, and referees can verify the perturbation details and the numerical or analytical checks in the two-level case. The authors appear to be thinking carefully about the open-system extension.

Referee Report

2 major / 2 minor

Summary. The paper develops a dissipative adiabatic perturbation expansion for open quantum systems and uses it to identify a Berry-phase-induced chiral difference in extracted work. This chirality is shown to survive decoherence, transitioning from an interferometric thermodynamic Aharonov-Bohm effect in the unitary regime to a fringe-free signal in the dissipative regime. The framework is illustrated analytically and numerically on a driven two-level system, with an assessment of experimental feasibility in current platforms. The work aims to clarify the role of quantum geometry within a geometric formulation of thermodynamics.

Significance. If the central derivation is correct, the result would be significant: it supplies an explicit, geometry-driven mechanism for chiral thermodynamic observables that remains robust under decoherence, thereby extending Berry-phase concepts from closed to open-system thermodynamics. The two-level example and experimental discussion provide a concrete starting point for tests in superconducting circuits or trapped ions.

major comments (2)

[§3] §3 (Dissipative adiabatic perturbation expansion): The leading-order chiral work term is asserted to survive decoherence, yet the expansion is presented without an explicit error bound or radius of convergence that incorporates the decoherence rate. This is load-bearing for the central claim; a concrete estimate showing that the Berry-phase contribution remains dominant over O(γ) corrections (where γ is the decoherence strength) is required.
[§5] §5 (Two-level system): The reported chiral work difference is obtained from a specific choice of driving protocol and Lindblad operators. It is unclear whether the sign and magnitude of the chirality are independent of the particular form of the dissipator or whether they reduce to a redefinition of the effective Hamiltonian parameters; an explicit check against a parameter-free limit (e.g., zero decoherence) should be added.

minor comments (2)

The abstract states that the chirality 'evolves from an interferometric … to a fringe-free signal,' but the manuscript does not define 'fringe-free' quantitatively; a short paragraph clarifying the observable signature would improve readability.
Figure 2 caption should specify the numerical values of the adiabatic parameter and decoherence rate used in the plotted curves.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. We address the major comments point by point below. Where appropriate, we will revise the manuscript to incorporate the requested additions for greater rigor and clarity.

read point-by-point responses

Referee: [§3] §3 (Dissipative adiabatic perturbation expansion): The leading-order chiral work term is asserted to survive decoherence, yet the expansion is presented without an explicit error bound or radius of convergence that incorporates the decoherence rate. This is load-bearing for the central claim; a concrete estimate showing that the Berry-phase contribution remains dominant over O(γ) corrections (where γ is the decoherence strength) is required.

Authors: We agree that an explicit error bound strengthens the central claim. In the revised manuscript we will derive the remainder term of the dissipative adiabatic perturbation expansion, establishing that the error is bounded by O(γ/Ω) where Ω denotes the adiabatic driving frequency. Under the adiabatic condition Ω ≫ γ the leading Berry-phase contribution dominates the O(γ) corrections. We will also add a numerical convergence plot for the two-level system that explicitly shows the chiral work difference approaching its leading-order value as the adiabatic parameter is increased at fixed γ. revision: yes
Referee: [§5] §5 (Two-level system): The reported chiral work difference is obtained from a specific choice of driving protocol and Lindblad operators. It is unclear whether the sign and magnitude of the chirality are independent of the particular form of the dissipator or whether they reduce to a redefinition of the effective Hamiltonian parameters; an explicit check against a parameter-free limit (e.g., zero decoherence) should be added.

Authors: We thank the referee for highlighting this point. We will add an explicit verification of the zero-decoherence limit: setting γ = 0 in our expressions recovers the unitary interferometric Aharonov-Bohm-like result for the chiral work difference. Regarding dependence on the dissipator, the sign of the chirality is fixed by the sign of the Berry curvature of the instantaneous eigenstates and is therefore independent of the specific Lindblad form provided the adiabatic condition holds; the magnitude, however, can acquire quantitative corrections. In the revision we will include a short comparison with an alternative set of Lindblad operators to illustrate that the sign remains unchanged while the magnitude varies modestly. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation self-contained via new expansion

full rationale

The paper develops a dissipative adiabatic perturbation expansion and derives a Berry-phase-induced chiral work difference from it. No load-bearing step reduces by the paper's own equations to a fitted parameter, self-definition, or self-citation chain. The central claim (chirality surviving decoherence) is presented as emerging from the expansion rather than presupposed by it. The abstract and context give no indication that any prediction is equivalent to its inputs by construction, consistent with an independent derivation.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the validity of a newly developed dissipative adiabatic perturbation expansion whose detailed assumptions are not visible in the abstract.

axioms (1)

domain assumption Adiabatic approximation remains applicable in the presence of weak dissipation
The perturbative framework assumes slow parameter changes relative to dissipation rates.

pith-pipeline@v0.9.0 · 5374 in / 1147 out tokens · 32626 ms · 2026-05-14T18:18:44.286220+00:00 · methodology

discussion (0)

Reference graph

Works this paper leans on

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M.-M. Yi, G.-J. Qiao, X. Yue, and C. Sun, Third quan- tization for order parameters (ii): Local field quantiza- tion in superconducting quantum circuits, arXiv preprint https://doi.org/10.48550/arXiv.2604.24092 (2026). 6 End Matter Appendix A: Derivation of[Eq. (4)].— Integrating the off-diagonal master equation (2) with the initial conditionρ mn(0) = 0 g...

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(27) into Eq

yields the result ρ(f) mn(t) = iFmn[ρ(p)](t) zmn(t) +O(ϵ 3).(27) Substituting Eq. (27) into Eq. (23) and approximating cmn by its leading-order formc mn ≃A mn/zmn, the multilevel-feedback contribution becomes W (f) = 2ℏ X m̸=n X k̸=m,n ωmn∆mk ×Im "Z T 0 Amk(t)Akn(t)Anm(t) zmk(t)zmn(t) dt # . (28) This contribution requires at least three distinct levels l...