Intrinsically Quantum Effects of Axion Dark Matter are Undetectable

summary

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The gist

The gist The axion field could well be in a quantum state that has no complete classical description, but realistic detectors cannot tell the difference.

In short

The paper investigates whether quantum effects in axion dark matter are detectable by realistic detectors like haloscopes. It shows that intrinsically quantum states of the axion field are washed out by mode averaging, noise, and weak coupling. The conclusion is that a classical description of axion dark matter effects is always sufficient for observable phenomena.

Key concepts

Coherent State
A coherent state represents a quantum field mode that acts like a classical wave with a definite amplitude. In the context of axions, this state is often assumed because misalignment production starts from a relatively well-defined field value, though its precise justification is debated.
Mode Averaging/Noise
When dealing with realistic detectors, quantum effects are often suppressed by averaging over many modes or by the presence of small amounts of noise. This process washes out the subtle nonclassical signatures that might otherwise be present in the axion field's quantum state.
Nonclassicality Measures (S and Q)
These are mathematical tools used to quantify whether a quantum state exhibits nonclassical behavior, such as squeezing or sub-Poissonian fluctuations. The paper shows that for axion dark matter detection, these measures of nonclassicality are significantly suppressed by the conversion efficiency.
Classical Analog
The central finding is that there is always a classical analog for axion dark matter effects. Even if the underlying field is in a highly nonclassical quantum state, the observable effects measured by detectors can be accurately described using classical variables.

Terminology used across episodes

This episode discusses

The paper

Intrinsically Quantum Effects of Axion Dark Matter are Undetectable · Read on arXiv

Yunjia Bao, Dhong Yeon Cheong, Nicholas L. Rodd, Joey Takach, Lian-Tao Wang, Kevin Zhou

Enrico Fermi Institute, The University of Chicago, Chicago, IL 60637, USA · Department of Physics, The University of Chicago, Chicago, IL 60637, USA · Leinweber Institute for Theoretical Physics, The University of Chicago, Chicago, IL 60637 · Kavli Institute for Cosmological Physics, The University of Chicago, Chicago, IL 60637 · Department of Physics and IPAP, Yonsei University

DOI: 10.1103/9mff-p5k6

Transcript

Introduction to the show: ident: Astrophysics Radio. Generated commentary on the latest astrophysics papers.

Vera: I'm Vera.

Jocelyn: And I'm Jocelyn, here with Subrahmanyan.

Vera: We're looking at the paper: "Intrinsically Quantum Effects of Axion Dark Matter are Undetectable".

Jocelyn: Here's the gist of the paper. The gist The axion field could well be in a quantum state that has no complete classical description, but realistic detectors cannot tell the difference.

Vera: Quantum State of DM The starting point is the seminal insight of Glauber

39: and Sudarshan

40: that a quantum field mode in a coherent state α⟩ acts on matter in the same way as a classical field mode with complex amplitude α Thus, any mixture of coherent states, described by the density matrix ρˆ = Z dα P(α)α⟩⟨α (1) for P(α) ≥ 0, acts like a probabilistic mixture of classical field values Nonclassical states can also be described by Eq.

Jocelyn: (1), but involve P-functions which attain negative values.

Vera: Turning to the axion, misalignment production begins with a relatively well-defined field value, so it is often said to be in a coherent state.

Paper summary: Vera: We started by asking if the usual treatment of axion dark matter as a classical field is reliable, and we show that the answer is subtle.

Jocelyn: They claim that the axion field could well be in a quantum state that has no complete classical description, but realistic detectors cannot tell those states apart.

Subrahmanyan: I'm curious about what they mean by "no complete classical description," because for us, structure formation and cosmology are often treated with these quantum corrections.

Vera: They solve a fully quantum model of axion detection using quantum optics techniques to see this. They show that intrinsically quantum effects are washed out by mode averaging or small amounts of noise, and they're suppressed by the weakness of the axion coupling.

Jocelyn: The key result they point to is that there should always be a classical analog for these axion dark matter effects, which extends to other ultralight dark-matter candidates.

Subrahmanyan: That means even if the underlying physics is quantum, we can still predict observable classical effects in our experiments, which is interesting because it links theory to observation.

Vera: It suggests that there's always some classical description for axion dark matter effects, and they give a general method to compute the effects of exotic dark-matter states.

Jocelyn: So what's the actual mechanism that suppresses these quantum features? It’s not just noise, it’s also related to how we look at the system.

Subrahmanyan: I wonder if this suppression is universal across different dark matter candidates, or if it depends on some specific properties of the axion field.

Vera: The paper shows that when you use a joint P-function over all modes of the field, rho DM = Z d alpha P DM(alpha) alpha alpha, the effective mode becomes Gaussian, and therefore effectively classical because P eff DM zero <ref:2510.05198#pg2,a joint P-function over>.

Jocelyn: That means the quantum nature gets averaged out when you consider all possible modes together, which is a very powerful way to see this effect.

Subrahmanyan: I think that makes sense from a cosmological perspective; averaging over many modes would be what you expect when looking at large-scale structure or the universe.

Vera: And they show that this remains true even if you can resolve the axion linewidth, because you can define an effective mode for each frequency bin.

Jocelyn: So to see actual nonclassicality, it's not about resolving a single mode; it has to be about strong correlations between the modes causing the central limit theorem to fail.

Subrahmanyan: That pushes us toward needing conditions where the axion condenses into one mode, which is where you get arbitrarily nonclassical effects below.

Vera: Exactly. So they are agnostic as to the form of DM and d alpha, not aiming to solve that specific question right now.

Jocelyn: That’s fair, since identifying the quantum state of local axion dark matter is a highly nontrivial question, which they don't try to resolve here.

Subrahmanyan: So if we take their findings—that classical description suffices for observables—what does that imply for confirming or killing specific models of dark matter?

Vera: It implies that as long as you are in the detector regime, a classical field description is what matters, and this gives us a tool to predict observable signatures.

Jocelyn: And it means we don't need to worry about finding some weird nonclassical signature before we can even start designing the experiment.

Subrahmanyan: It puts constraints on which theoretical models are viable based on what's experimentally accessible, which is a good thing for structure formation studies.

Conclusion: Vera: So wrapping up this paper "Intrinsically Quantum Effects of Axion Dark Matter are Undetectable," the authors say that the usual treatment of axion dark matter as a classical field is reliable in practice.

Jocelyn: They reiterate that while the axion field might be quantum, detectors just can't see it.

Subrahmanyan: I think for me, this means we should focus our efforts on finding experimental signatures that are actually observable rather than chasing unobservable quantum states.

Vera: Exactly. The paper gives us a general method to compute the effects of exotic dark-matter states, and that's useful regardless of the specific theory you're using.

Jocelyn: So they're essentially saying that you can use classical approximations for many dark matter scenarios when looking at what detectors can actually measure.

Subrahmanyan: This means we don't need to worry about finding some weird nonclassical signature before we can even start designing the experiment.

Vera: The main implication is that a classical description of axion dark matter suffices for what is experimentally accessible in the detector regime.

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