method

quantum squeezed light sensing

Quantum sensing using squeezed light states to enhance measurement precision beyond standard limits.
25 related articles · 5 formulas

Description

Quantum squeezed light sensing exploits a special property of light called squeezing, where the quantum noise in one observable (e.g., phase) is reduced below the standard quantum limit at the expense of increased noise in its conjugate observable (e.g., amplitude). This allows measurements to exceed the shot-noise limit, which is the usual precision floor set by the particle nature of light. Squeezed light is now a standard tool in gravitational-wave detectors and is being developed for microscopy and other precision measurements.

History

The concept of squeezed light was first proposed in the 1970s, and the first experimental demonstrations were achieved in the mid-1980s. The first practical application was in the LIGO gravitational-wave detector, which began using squeezed light in 2019.

How it works

In a squeezed state, the uncertainty in one quadrature of the electromagnetic field is reduced, while the uncertainty in the orthogonal quadrature is correspondingly increased, preserving the Heisenberg uncertainty principle. By aligning the squeezed quadrature with the signal of interest, the measurement noise is reduced. This is achieved by passing light through a nonlinear optical crystal, where a strong pump beam generates pairs of correlated photons, leading to a reduction of noise in one phase.

In practice

Squeezed light is used in gravitational-wave observatories like LIGO and Virgo to enhance sensitivity, and in quantum microscopy to image delicate biological samples with less photodamage.

Fun fact

The first gravitational-wave detection in 2015 was made without squeezed light, but subsequent upgrades that included it have doubled the detector's sensitivity.

Concept graph →

Formulas

$$| ext{squeezing}| ext{ grows as } rac{1}{2} ext{ln}(4ar{n})$$
Maximum squeezing increases logarithmically with mean photon number.
What is in the formula
squeezingvariablesqueezing parameter (magnitude) — squeezing parameter
n̄variablemean photon number — mean photon number
lnoperatornatural logarithm function — natural logarithm
|\xi|_{{max}}\approx\frac{1}{2}\ln(4\bar{n}) · 2605.03038v1
$$\Delta \theta \ge \frac{1}{N}$$
Quantum measurement precision scales as 1/N.
What is in the formula
\Delta \thetavariableUncertainty in the estimated parameter — parameter uncertainty
NvariableNumber of independent probes or particles — particle number
\geoperatorIndicates a lower bound — greater than or equal
δθ\ge\frac{1}{n} · 2601.05457
$$\langle N \rangle = \sinh^2(r)$$
The average particle number in a squeezed vacuum state.
What is in the formula
⟨N⟩variablemean particle number — particle number
rvariablesqueeze parameter — squeeze parameter
\langlen\rangle=\sinh^2(r) · 2605.14797v1
$$\hat{t} \propto \tau_Q^{\nu z / (1 + \nu z)}$$
Defect density scales with quench rate in phase transitions.
What is in the formula
\hat{t}variableDefect density (average number of topological defects per unit volume) — defect density per cubic metre
\tau_QvariableQuench time (characteristic time over which the system is driven through the critical point) — time second
\nuconstantCorrelation length critical exponent of the equilibrium phase transition — critical exponent nu = varies
zconstantDynamic critical exponent relating relaxation time to correlation length — dynamic critical exponent z = varies
\hat{t}\proptoτ_q^{δ_{\rmkzm}} · 2606.28306
$$n = \arg \max \left| \frac{\mathrm{d} \log R}{\mathrm{d} \log n} \right|$$
Finds density where indicator is most sensitive to changes.
What is in the formula
nvariabledensity (or control parameter) — number density per metre cubed
Rvariablemeasured indicator (response)
arg maxoperatorargument of the maximum: value of n that maximizes the expression — argmax operator
d log R / d log noperatorlogarithmic derivative of R with respect to n, measuring relative sensitivity — logarithmic derivative
n_{{m}}=\arg\max|\frac{{d}\logr}{{d}\logn_{{e}}}| · 2607.07973

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