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arxiv: 2606.07221 · v1 · pith:NPQPG37Lnew · submitted 2026-06-05 · 🪐 quant-ph · cond-mat.stat-mech

Long-range interactions assisted shortcuts to adiabaticity and battery charging in open quantum critical systems

Shishira Mahunta , Victor Mukherjee This is my paper

Pith reviewed 2026-06-27 22:00 UTC · model grok-4.3

classification 🪐 quant-ph cond-mat.stat-mech
keywords long-range interactionsshortcuts to adiabaticityquantum batteriesopen quantum systemsKitaev chainquantum critical systemsdissipationergotropy
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The pith

Long-range interactions allow shortcuts to adiabaticity with algebraically decaying couplings in open critical systems.

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

The paper establishes that long-range interactions benefit shortcuts to adiabaticity in many-body open quantum critical systems and quantum battery charging under dissipation. Using the Kitaev chain as example, it shows that control can involve interactions decaying algebraically with distance, unlike short-range cases needing non-zero infinite-distance couplings. This reduces STA cost in non-unitary control and enhances ergotropy in a proposed modified STA for battery charging. Readers care because it positions long-range interactions as a resource for quantum technologies involving non-equilibrium many-body dynamics.

Core claim

In the Kitaev chain with long-range couplings, shortcuts to adiabaticity through criticality involve interaction strengths that decay algebraically with distance, in contrast to short-range interactions that may require non-zero interactions between infinitely distant spins. For non-unitary control, long-range interactions reduce the cost of STA. A modified STA technique for charging a quantum battery in the presence of dissipation shows that long-range interactions can enhance the resultant ergotropy.

What carries the argument

The Kitaev chain with algebraically decaying long-range couplings, which carries the argument by demonstrating reduced STA costs and enhanced battery charging compared to short-range cases.

If this is right

  • STA control in critical systems can use finite, decaying interactions instead of infinite-range ones.
  • Non-unitary STA protocols incur lower cost with long-range interactions.
  • Quantum battery ergotropy increases under dissipation when using long-range interactions in the modified STA.
  • Long-range interactions act as a resource for quantum control in open many-body systems.

Where Pith is reading between the lines

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

  • This may extend to other critical models with long-range interactions beyond the Kitaev chain.
  • Platforms with natural long-range couplings could implement more efficient quantum control protocols.
  • Further studies could test if the algebraic decay specifically optimizes the advantage over other decay forms.

Load-bearing premise

That the Kitaev chain with algebraically decaying long-range couplings represents the general advantage of long-range interactions for STA and battery charging in open quantum critical systems.

What would settle it

A demonstration that in the Kitaev chain or similar system, the STA cost does not decrease or the ergotropy does not increase when switching from short-range to long-range interactions.

Figures

Figures reproduced from arXiv: 2606.07221 by Shishira Mahunta, Victor Mukherjee.

Figure 1
Figure 1. Figure 1: (a) Comparison between the numerically evaluated CD coupling [PITH_FULL_IMAGE:figures/full_fig_p006_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Dependence of hm(µ, α), obtained through numer￾ical integration of Eq. (18), on the interaction exponent α near µ = ±1. Here ϵ± = 0.1. (see Eq. (C7)), and thus become strongly enhanced as the system relaxes toward the ground state. (ii) High-temperature regime: In the high-temperature limit of βEk → ∞, the system approaches a maximally mixed state with nearly equal population of all energy levels, resultin… view at source ↗
Figure 3
Figure 3. Figure 3: (a)–(d) Main panels show the transition rates [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: (a) Heat current ISTA in the low-temperature regime β = 10. (b) Heat current ISTA (main) and power PSTA (inset) in the high-temperature regime β = 0.1. (c) Power PSTA in the low-temperature regime β = 10. Table II. Heat current ISTA and power dissipated PSTA near the critical points µ = ±1 in different temperature and interaction regimes. Observable T Criticality Variation with α ISTA Low-T µ = −1 Suppress… view at source ↗
Figure 5
Figure 5. Figure 5: (a) Ergotropy W(t) with µ for different values of α at inverse temperature β = 1. The ergotropy increases with increasing range of interactions. (b) Variation of the ergotropy W(t) with µ for different values of β, for α = 1.2. Lower temperatures result in higher values of ergotropy. peratures suppresses population imbalance and reduces the extractable work. Interestingly, despite the system being driven a… view at source ↗
Figure 6
Figure 6. Figure 6: Quasiparticle spectrum Ek of the LRK model for different α at µ = −1. The inset shows the dispersion near k = π, and at µ = +1 where the spectrum remains linear for all α. 2. Expansion around µ = +1 Near the second critical point µ = +1, the gap closes at k = π. Writing q = π−k, the pairing function expands as [55] fα(π − q) ∼ B˜ αq, B˜ α = η(α − 1), (A3) where η(s) = (1 − 2 1−s )ζ(s) is the Dirichlet eta … view at source ↗
Figure 7
Figure 7. Figure 7: Variation of the non-unitary control strength [PITH_FULL_IMAGE:figures/full_fig_p015_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: (a) Shows variation of the non-unitary control strength [PITH_FULL_IMAGE:figures/full_fig_p016_8.png] view at source ↗
read the original abstract

In this work we show that long-range interactions can be significantly beneficial for implementing shortcuts to adiabaticity (STA) in many-body open quantum critical systems driven out of equilibrium, as well as for charging quantum batteries in the presence of dissipation. In sharp contrast to short range interactions where passage through criticality may demand STA control with non-zero interactions between infinitely distant spins, using the example of a Kitaev chain with long-range couplings, we find that the corresponding control may involve involve interaction strength with decays algebraically with distance. In case of non-unitary control, the advantage of long-range interactions manifest through reduction in the cost of STA. We further propose a modified STA technique aimed at charging a quantum battery in the presence of dissipation, in which case long-range interactions may enhance the resultant ergotropy. Our results establish long-range interactions as a valuable resource for quantum control, with direct implications for quantum technologies.

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.

Referee Report

1 major / 0 minor

Summary. The manuscript claims that long-range interactions provide significant advantages for shortcuts to adiabaticity (STA) in many-body open quantum critical systems and for dissipative quantum battery charging. Using the Kitaev chain with algebraically decaying couplings as the example, it contrasts this with short-range interactions (which may require non-zero couplings at infinite distance), reports reduced STA cost under non-unitary control, and proposes a modified STA protocol in which long-range interactions enhance ergotropy. The results are presented as establishing long-range interactions as a valuable resource for quantum control.

Significance. If the reported advantages are robust and extend beyond the specific model, the work could identify long-range interactions as a practical resource for quantum technologies. However, the significance is limited by the absence of evidence that the algebraic-decay control or ergotropy enhancement are model-independent features of open quantum critical systems rather than artifacts of the Kitaev chain's pairing structure.

major comments (1)
  1. [Abstract] Abstract and central claim: the assertion that long-range interactions are 'significantly beneficial' for STA and battery charging 'in many-body open quantum critical systems' and 'establish long-range interactions as a valuable resource' is load-bearing but rests solely on results for the Kitaev chain with algebraically decaying couplings. No additional models, dispersion relations, or dissipation structures are examined, and no analytical argument demonstrates that the advantage survives changes to the pairing or Majorana structure.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for highlighting the need to better scope our central claims. We address this point below and have revised the manuscript accordingly.

read point-by-point responses

  1. Referee: [Abstract] Abstract and central claim: the assertion that long-range interactions are 'significantly beneficial' for STA and battery charging 'in many-body open quantum critical systems' and 'establish long-range interactions as a valuable resource' is load-bearing but rests solely on results for the Kitaev chain with algebraically decaying couplings. No additional models, dispersion relations, or dissipation structures are examined, and no analytical argument demonstrates that the advantage survives changes to the pairing or Majorana structure.

    Authors: We agree that the results are demonstrated explicitly for the long-range Kitaev chain, a standard exactly solvable model for one-dimensional quantum critical systems with pairing. The algebraic decay of couplings is the feature that enables STA control with finite, distance-dependent interactions, in contrast to the short-range case. No other models or dispersion relations are studied in this work. To address the concern, we have revised the abstract and introduction to state that the advantages are shown using the Kitaev chain as a representative example, and we have added a brief discussion of possible extensions to other long-range critical systems in the conclusions. We do not claim a general analytical proof of model independence. revision: yes

Circularity Check

0 steps flagged

No circularity; derivation self-contained via explicit Kitaev-chain calculations

full rationale

The paper demonstrates benefits of long-range interactions for STA and battery charging explicitly through the Kitaev chain example with algebraically decaying couplings. No equations or claims reduce by construction to fitted inputs, self-definitions, or load-bearing self-citations; the central results follow from the model's dynamics and control protocols without tautological renaming or imported uniqueness theorems. The derivation remains independent of its inputs.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review provides no explicit free parameters, axioms, or invented entities; ledger left empty pending full text.

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Reference graph

Works this paper leans on

65 extracted references · 3 canonical work pages

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    However, quantum systems driven out of equilibrium are in general associated with non-adiabatic excitations [11]

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    Long-range regime (1< α <2) We first analyze the behavior of the CD coupling co- efficienth m(ϵ−, α) near the critical pointµ=−1 in the long range regime (1< α <2). Using Eqs. (6) and (18), and the Taylor series expansion of the of the function fα(k) (see Appendix A), one gets hm(ϵ−, α)≈ 1 4π Z π 0 Aαkα−1 ϵ2 − +A 2αk2(α−1) sin(mk)dk.(19) (i) Away from cri...

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    Short-range regime (α >2) We now analyze the behavior of the CD coupling hm(ϵ−, α) in the short-range regimeα >2. Following Eq. (18), in this regime one gets hm(ϵ−, α >2)≈ 1 4π Z π 0 Bαksin(mk) ϵ2 − +B 2αk2 dk.(24) As shown in Appendix B, in the limit ofm >>1 Eq. (24) finally leads us to hm(ϵ−, α >2)≈ 1 8ζ(α−1) exp − |ϵ−| ζ(α−1) m .(25) Thus, away from th...

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