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arxiv: 1907.05641 · v1 · pith:52GLJKLBnew · submitted 2019-07-12 · 🪐 quant-ph

Perpetual generation of two-photon quantum beats

C Dedes This is my paper

Pith reviewed 2026-05-24 22:36 UTC · model grok-4.3

classification 🪐 quant-ph
keywords quantum beatstwo-photon interferenceMach-Zehnder interferometerself-feedbackcoherent superpositionslinear opticsmultiple reflectionsperpetual coherence
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The pith

A recursive Mach-Zehnder device with mirror self-feedback produces two-photon quantum beats indefinitely for chosen input states.

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

The paper examines a recursive optical device built from a Mach-Zehnder interferometer and linear elements that route light through repeated internal reflections between two parallel arrays of facing mirrors. It argues that a suitable experimental layout combined with particular input states yields time-dependent coherent superpositions of two photons that continue without end at the open ports. A sympathetic reader would care because the setup claims to convert a one-time interference process into an ongoing, self-sustained sequence of quantum beats. The claim rests on the idea that the closed feedback loop recycles the radiation while preserving phase relations indefinitely.

Core claim

The central claim is that by a carefully chosen experimental arrangement and for certain input states it is possible to observe at the open ends of the device time generated coherent superpositions in perpetuum.

What carries the argument

The recursive self-feedback device based on a Mach-Zehnder interferometer with linear optical elements and two parallel arrays of opposite-faced mirrors that enable multiple internal reflections.

If this is right

  • For specific input states the time-dependent coherent superpositions continue without external replenishment.
  • Quantum beats appear continuously at the open ends through the action of the internal reflections.
  • The self-feedback loop converts transient interference into a sustained temporal sequence.
  • The effect requires only linear optics and the chosen mirror geometry.

Where Pith is reading between the lines

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

  • The same recursive geometry might be tested with other photon-number states to check whether the perpetual behavior is restricted to the two-photon case.
  • If the lossless assumption holds, the device supplies a concrete test bed for studying how feedback affects decoherence rates in linear optical networks.
  • Neighbouring questions include whether the beat period remains locked to the input state parameters or drifts under small path-length changes.

Load-bearing premise

The device permits lossless multiple internal reflections and self-feedback that sustain coherence indefinitely without dissipation or decoherence from the mirrors or environment.

What would settle it

Measure the visibility of the two-photon interference fringes at the output ports as a function of elapsed time; any measurable decay in visibility within the expected coherence window would falsify perpetual generation.

read the original abstract

We consider a recursive device that is based on a Mach-Zehnder interferometer and linear optical elements which allow self-feedback through multiple internal reflection of radiation between two parallel arrays of opposite faced mirrors. By a carefully chosen experimental arrangement and for certain input states it is possible to observe at the open ends of the device time generated coherent superpositions \textit{in perpetuum}.

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

2 major / 0 minor

Summary. The manuscript proposes a recursive device based on a Mach-Zehnder interferometer augmented with parallel arrays of opposing mirrors to enable self-feedback via multiple internal reflections. It claims that, for a carefully chosen experimental arrangement and certain input states, time-generated coherent superpositions of two-photon quantum beats can be observed perpetually at the open ends of the device.

Significance. If substantiated, the result would be significant for quantum optics, as it would demonstrate a passive linear-optical arrangement capable of sustaining coherent two-photon superpositions indefinitely in an open system. This could open avenues for studying perpetual quantum beats without continuous external driving. However, the complete absence of any derivation, state evolution, or loss analysis prevents assessment of whether the claim is physically realizable.

major comments (2)
  1. [Abstract] Abstract: The central claim that coherent superpositions can be generated 'in perpetuum' is asserted without any derivation, equations, or supporting analysis. No model is supplied for the unitary evolution under repeated reflections, the accumulation of phase, or the output state at the open ports as the number of internal reflections N tends to infinity.
  2. Setup description (entire manuscript): The text provides no justification or bound for the assumption of lossless reflections (R=1) and perfect isolation from environmental coupling. The skeptic concern is load-bearing: any deviation from unit reflectivity or any vacuum fluctuation coupling would damp the beats, yet no calculation demonstrates that the recursive feedback remains coherent for arbitrary N.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their review and for identifying areas where additional analysis would strengthen the manuscript. We respond to the major comments below.

read point-by-point responses

  1. Referee: [Abstract] Abstract: The central claim that coherent superpositions can be generated 'in perpetuum' is asserted without any derivation, equations, or supporting analysis. No model is supplied for the unitary evolution under repeated reflections, the accumulation of phase, or the output state at the open ports as the number of internal reflections N tends to infinity.

    Authors: The manuscript presents a conceptual device based on recursive Mach-Zehnder feedback. We agree that the current version lacks an explicit derivation of the unitary evolution, phase accumulation, and the N to infinity limit. In revision we will add a dedicated section deriving the multi-reflection unitary and the resulting output state at the open ports. revision: yes

  2. Referee: Setup description (entire manuscript): The text provides no justification or bound for the assumption of lossless reflections (R=1) and perfect isolation from environmental coupling. The skeptic concern is load-bearing: any deviation from unit reflectivity or any vacuum fluctuation coupling would damp the beats, yet no calculation demonstrates that the recursive feedback remains coherent for arbitrary N.

    Authors: The analysis is performed in the ideal limit R=1 with no environmental coupling to exhibit the perpetual effect in principle. We acknowledge that real devices have losses and that coherence will eventually decay. We will add a brief discussion of the scaling of coherence time with small loss per reflection, while noting that a full quantitative bound depends on specific experimental parameters outside the scope of this proposal. revision: partial

Circularity Check

0 steps flagged

No derivation chain present to inspect for circularity

full rationale

The manuscript asserts that a recursive Mach-Zehnder device with parallel-mirror self-feedback can generate perpetual two-photon quantum beats at open ports for selected input states, but supplies no equations, no recursive propagation model, no phase or amplitude tracking after N reflections, and no derivation that reduces any claimed output to prior inputs. The central claim is therefore an experimental-arrangement assertion rather than a mathematical derivation; absent any load-bearing steps, self-citations, fitted parameters, or ansatzes, no circularity of the enumerated kinds can be identified.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review provides no equations, parameters, or explicit assumptions; ledger entries cannot be populated beyond the implicit lossless-mirror premise.

pith-pipeline@v0.9.0 · 5561 in / 1038 out tokens · 22403 ms · 2026-05-24T22:36:15.725639+00:00 · methodology

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Reference graph

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