Squeezed gravitational waves: when quantum optics meets black holes ✛ ✦

Original: "Squeezed-state radiation in shockwave scattering: QCD-Gravity double copy"
arXiv:2605.03038v1 · 2026-05-04 · CC BY 4.0 · 3 min
Graviton emission in strong fields can be a squeezed quantum state, amplifying quantum noise to levels detectable by gravitational-wave detectors.

Context

Directly observing the quantum nature of gravity is one of the major unsolved challenges. Gravitational waves, predicted by Albert Einstein and first detected by LIGO detectors, carry information about collisions of black holes and neutron stars, but their quantum structure remains invisible: metric fluctuations are on the Planck scale, ∼10⁻³⁵ m. Yet, back in the day, Stephen Hawking and others pointed out that if gravitational radiation is in a squeezed state, quantum noise could be greatly amplified. This new study exploits an unexpected link — the double copy between quantum chromodynamics and gravity — to show that in strong fields during near-light-speed collisions, squeezed graviton states indeed form.

Methods

The key idea rests on the double-copy concept, linking scattering amplitudes in gauge theories and gravity. The authors considered the scattering of gravitational shockwaves (Aichelburg–Sexl metric) in the Regge limit, where the exchange of "reggeized" gravitons dominates. The emission is described by effective Lipatov vertices, and the gravitational vertex is proportional to a bilinear combination of QCD gluon vertices. Multi-particle production is modeled as the iteration of t-channel processes (a "horizontal ladder"), leading to a negative binomial distribution (NBD) for the number of gravitons. Then the NBD is transformed into a generalized Susskind–Glogower coherent state (GCS), which in the Fock basis is a superposition of states with definite particle numbers and specific weights. This state, like the coherent states introduced in quantum optics by Roy Glauber, possesses phase coherence but additionally exhibits quadrature squeezing.

Results

Analyzing the properties of the GCS state showed that its squeezing parameter ξ depends on the average graviton number ¯n and parameter r (analogous to the number of correlated sources). For realistic gravitational waves detected by LIGO, ¯n ∼ 4·10³⁶. Using the uncertainty principle, the authors derived that maximum squeezing reaches |ξ| ∼ ½ ln(4¯n) ≈ 42. This means an exponential amplification of quantum noise: from ∼10⁻³⁵ m to ∼10⁻¹⁷ m, which exceeds the sensitivity threshold of current detectors (around 10⁻¹⁹ m/√Hz). However, the state can remain arbitrarily close to the minimum uncertainty product: the deviation δ∼1/(32r) can be made negligible for r>1. Thus, the regime of strong squeezing and nearly minimal uncertainty is simultaneously attainable.

Implications

If gravitational radiation is indeed a GCS-squeezed state, this radically changes the approach to searching for quantum effects in gravity. Quantum noise ceases to be elusive and could be detected by analyzing data from existing gravitational-wave antennas. Moreover, the connection to QCD allows methods for describing nonequilibrium glasma (a high-density gluon system) to be applied to gravitational waves, opening new perspectives for understanding thermalization and decoherence in strong fields.

Future development

Further studies must confirm that the double copy holds at the level of multi-particle amplitudes and compute the parameter r from first principles. Of particular interest is the search for sub-Poissonian statistics of graviton "clicks" — a clear indicator of quantum nature — which could manifest in correlations between detectors analogous to Hanbury Brown–Twiss correlations in optics. It is also important to study the effects of finite signal duration and non-Planckian corrections.

Impact

The results impact a wide range of fields: from gravitational-wave phenomenology and quantum field theory to the physics of ultrarelativistic heavy-ion collisions and precision quantum metrology.

Next steps

Immediate next steps include computing two-graviton correlation functions in the shockwave formalism and developing methods to search for nonclassical statistics in data from LIGO, Virgo, and the future LISA detector.

Key open problems

The work connects several fundamental problems: detecting quantum gravity, the black hole information loss (since squeezing could affect the entropy of radiation), thermalization in nonequilibrium quantum systems, and the potential to observe individual gravitons.

The knowledge machine's view

This section is addressed to the author of the paper and their colleagues. Neighbouring works were found by meaning-based search across our archive, not by word overlap. We do not review: we show the field around the work.

What the work does

The study shows that gravitational radiation in the Regge limit is described by generalized Susskind–Glogower coherent states with strong quadrature squeezing. Using a double copy and effective Lipatov vertices, the authors obtained a negative binomial distribution of gravitons and demonstrated that quantum noise can be amplified to a level accessible to modern detectors.

Where its strength is

The key strength lies in combining QCD and quantum optics methods to describe gravitational waves, which allows translating quantum effects from the Planck scale into the realm of experimental observability.

Where it could go next

Worth trying

  • Test whether squeezing appears in LIGO data by analyzing photon-counting statistics in the interferometer.
  • Compare the predictions of the OSG state with numerical simulations of black hole mergers in the Regge limit.
  • Adapt quantum state tomography methods for light to reconstruct the squeezing parameter of gravitational waves.

Why this may matter

If squeezing of gravitational waves is confirmed, it would be the first direct observation of the quantum nature of gravity and would open the way to experimental tests of quantum gravity models.

Original abstract

as written by the authors arXiv:2605.03038v1

Gluon and graviton radiation in strong field shockwave scattering are described by effective Lipatov vertices, with the graviton Lipatov vertex proportional to the bilinear of its QCD counterpart. We show here that the n-particle gluon radiation spectrum can be described as a generalized Susskind-Glogower (gSG) squeezed coherent state and discuss the properties of such squeezed states. The double copy structure of the radiative frameworks suggests that multi-graviton radiation can be similarly described as a gSG state. We examine the physical parameter space and show that very large squeezing parameters $$\sim \ln({\bar n})$$ (where $${\bar n}$$ is the mean graviton occupancy) are feasible for nearly minimal uncertainty configurations of the gSG state. Quantum noise in the corresponding gravitational wave spectrum is enhanced above the sensitivity of current and future gravitational wave detectors. Our results point to the importance of a comprehensive study of the strong field Lipatov regime of gravitational radiation.

If the quantum noise in gravitational waves could be converted into sound, squeezing would transform it from the squeak of a mosquito wing into the roar of a jet engine — that's how huge the amplification is.

|\xi|_{\text{max}} \approx \frac{1}{2} \ln(4\bar{n})
For large occupation numbers \bar{n}, the squeezing grows logarithmically.
\Delta X \Delta P = \frac{1}{2} + \delta, \quad \delta \approx \frac{1}{32 r}
The parameter \delta characterizes how close the state is to being perfectly squeezed.

Key numbers

  • Average graviton occupation for LIGO events: 4·10³⁶
  • Achieved squeezing parameter: ~42
  • Quantum noise amplification (from 10⁻³⁵ m to): ~10⁻¹⁷ m
  • LIGO sensitivity threshold: ~10⁻¹⁹ m
  • Deviation from minimum uncertainty: ~1/(32r)
Scientists
Albert EinsteinBarry BarishKip ThorneRichard FeynmanRussell HulseEdward Witten
Concepts
gaussian states squeezed state triplet state gravitational radius gravitational wave strain