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arxiv: 2601.20252 · v1 · submitted 2026-01-28 · ❄️ cond-mat.mes-hall

Quantum capacitance and parity switching of a quantum-dot-based Kitaev chain

Chun-Xiao Liu This is my paper

Pith reviewed 2026-05-16 10:32 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall
keywords quantum capacitanceKitaev chainMajorana zero modesquantum dotsAndreev bound statesparity switchingquasiparticle poisoningtopological superconductivity
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The pith

Quantum capacitance can identify the sweet spot in a quantum-dot Kitaev chain and reveal distinct parity switching mechanisms.

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

The paper examines the quantum capacitance of a minimal Kitaev chain made from quantum dots coupled by superconductivity and weakly linked to a normal lead. It shows that in the open regime, charge stability diagrams from capacitance measurements can locate the sweet spot where Majorana zero modes appear, matching results from tunnel spectroscopy. Additionally, for a single quantum dot coupled to Andreev bound states, the capacitance highlights how parity switches arise from both external lead coupling and internal quasiparticle poisoning. This approach offers a new way to probe these systems without strong perturbations.

Core claim

In the open regime, charge stability diagrams of quantum capacitance help identify the sweet spot of a Kitaev chain, consistent with tunnel spectroscopy. The quantum capacitance of a single quantum dot coupled to Andreev bound states reveals the interplay between coupling to an external normal lead and intrinsic quasiparticle poisoning as distinct parity switching mechanisms.

What carries the argument

Quantum capacitance measurements on quantum dots in a Kitaev chain, which reflect internal parity states and topological features in the open regime.

If this is right

  • Charge stability diagrams from quantum capacitance locate the sweet spot for Majorana modes.
  • Capacitance data distinguishes external lead-induced switching from quasiparticle poisoning.
  • Quantum capacitance provides an alternative probe consistent with tunnel spectroscopy.
  • The method works in the weak-coupling open regime without strong perturbation.

Where Pith is reading between the lines

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

  • If confirmed, this could allow non-invasive characterization of larger Kitaev chain arrays for quantum computing.
  • Similar capacitance techniques might apply to other superconducting quantum dot systems to study parity dynamics.
  • Experiments could test whether capacitance remains reliable when coupling strengths increase beyond the weak limit.

Load-bearing premise

The system operates in the open regime with weak coupling to the external normal lead, allowing capacitance to directly reflect internal parity without significant perturbation.

What would settle it

If capacitance measurements at the predicted sweet spot parameters do not produce the expected charge stability diagram features matching tunnel spectroscopy, the claim would be falsified.

Figures

Figures reproduced from arXiv: 2601.20252 by Chun-Xiao Liu.

Figure 1
Figure 1. Figure 1: FIG. 1. Schematic of a two-site Kitaev chain device. Quan [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Conductance and quantum capacitance of a two-site Kitaev chain device. (a)-(c): Conductance in the open regime, [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a) Averaged quantum capacitance of a single quan [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (a) [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
read the original abstract

An array of quantum dots coupled via superconductivity provides a new platform for creating Kitaev chains with Majorana zero modes, offering a promising avenue toward topological quantum computing. In this work, we theoretically study the quantum capacitance of a minimal Kitaev chain weakly coupled to an external normal lead. We find that in the open regime, charge stability diagrams of quantum capcaitance can help to identify the sweet spot of a Kitaev chain, consistent with tunnel spectroscopy. Moreover, the quantum capacitance of a single quantum dot coupled to Andreev bound states reveals the interplay between two distinct parity switching mechanisms: coupling to an external normal lead and intrinsic quasiparticle poisoning. Our work provides useful physical insights into the quantum capacitance and parity dynamics in a quantum-dot-based Kitaev chain device.

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

0 major / 1 minor

Summary. The manuscript presents a theoretical study of the quantum capacitance in a minimal Kitaev chain formed by quantum dots coupled via superconductivity and weakly coupled to an external normal lead. It reports that charge stability diagrams of quantum capacitance in the open regime can identify the sweet spot of the Kitaev chain, consistent with tunnel spectroscopy. Additionally, the quantum capacitance of a single quantum dot coupled to Andreev bound states reveals the interplay between two parity switching mechanisms: coupling to the external normal lead and intrinsic quasiparticle poisoning.

Significance. If the results hold under the stated weak-coupling and open-regime conditions, the work provides useful physical insights into capacitance-based probes of parity dynamics and topological sweet spots in quantum-dot Kitaev chains. This could support experimental characterization of such devices for topological quantum computing. The findings follow directly from standard open-system treatments of mesoscopic superconducting nanostructures without introducing ad-hoc parameters or circular definitions.

minor comments (1)
  1. [Abstract] Abstract: 'capcaitance' is a typo and should read 'capacitance'.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive assessment of our manuscript and the recommendation for minor revision. The referee's summary accurately reflects the main results on quantum capacitance diagrams identifying the Kitaev sweet spot and the interplay of parity switching mechanisms.

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The paper presents a standard theoretical calculation of quantum capacitance for a minimal Kitaev chain formed by quantum dots coupled via superconductivity, under weak coupling to a normal lead in the open regime. Charge-stability diagrams and parity-switching signatures follow directly from the model Hamiltonian and open-system master equations without any reduction to self-defined quantities, fitted parameters renamed as predictions, or load-bearing self-citations. All reported features are explicit consequences of the stated assumptions and standard quantum-transport formalism; the derivation chain is self-contained and independent of the target results.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claims rest on standard domain assumptions of mesoscopic superconductivity and weak tunneling; no new free parameters, invented entities, or ad-hoc axioms are introduced in the abstract.

axioms (2)
  • domain assumption Weak coupling to external normal lead in the open regime
    Explicitly invoked to justify the capacitance calculation and parity analysis.
  • standard math Standard treatment of Andreev bound states and quasiparticle poisoning
    Implicit background for the parity-switching mechanisms.

pith-pipeline@v0.9.0 · 5422 in / 1320 out tokens · 46995 ms · 2026-05-16T10:32:56.089450+00:00 · methodology

discussion (0)

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Reference graph

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