effect

quantum backaction

The effect where a quantum system's measurement or environment causes it to react or decohere.
1 related articles · 2 formulas

Description

Quantum backaction is the phenomenon where the act of measuring a quantum system inevitably disturbs it, altering its subsequent evolution. This is a fundamental consequence of the Heisenberg uncertainty principle: to learn about a system, you must interact with it, and that interaction introduces uncontrollable noise. This is not a limitation of our instruments but a intrinsic feature of quantum mechanics, setting a fundamental limit on how precisely we can observe the quantum world.

History

The concept was formalized in the 1970s and 1980s by physicists like Vladimir Braginsky and Kip Thorne, who studied the limits of measuring gravitational waves with laser interferometers.

How it works

When a measurement device interacts with a quantum system, the two become entangled. The measurement outcome is correlated with a change in the system's state. For example, measuring the position of a particle with light imparts a random momentum kick, a process called radiation pressure noise. This backaction can be minimized but never eliminated, and it is a key consideration in designing ultra-sensitive measurements like those in gravitational wave detectors.

In practice

Quantum backaction is a central challenge in gravitational wave detectors like LIGO, where it sets a limit on sensitivity, and in quantum computing, where it affects qubit readout.

Fun fact

In some cleverly designed experiments, the backaction from one measurement can be used to predict and cancel the noise in a subsequent measurement, a technique called quantum nondemolition.

Concept graph →

Formulas

$$Q_{\mathcal{D}} = \frac{2}{3}\langle (\Theta - \langle\Theta\rangle)^2 \rangle - 2\langle \sigma^2 \rangle$$
Quantifies how inhomogeneities affect average cosmic expansion.
What is in the formula
Q_{\mathcal{D}}variableKinematical backreaction term — kinematical backreaction per second squared
\ThetavariableExpansion scalar — expansion scalar per second
\sigma^2variableShear scalar squared — shear scalar squared per second squared
\langle \cdot \rangloperatorSpatial average over domain — spatial average
q_{\mathcal{d}}=\frac{2}{3}\langle(\theta-\langle\theta\rangle)^2\rangle-2\langleσ^2\rangle · 2605.05454v1
$$\rho = \sum_i p_i |i\rangle\langle i|$$
A quantum state's density matrix becomes diagonal after measurement.
What is in the formula
ρvariableDensity matrix — density matrix
p_ivariableProbability of state |i⟩ — probability
|i⟩variableEigenstate of the density matrix — quantum state
⟨i|operatorDual vector (bra) of |i⟩ — bra operator
d_{a'}=\begin{pmatrix}\cos^2\frac{θ}{2}&0\0&\sin^2\frac{θ}{2}\end{pmatrix} · 2505.00777v1

Related articles · 1

Quantum Physics2025-12-311 minarXiv:2512.24839express
Quantum Mpemba Effect: When Hot Cools Down First
Two glasses of water: one scalding hot, the other just warm. The warm should cool first — but in the 1960s, a student from Tanzania noticed that hot ice cream freezes faster. This paradox was named the Mpemba effect. Recently, physicists found its quantum analog.