Equation 1 · Every Crystal Has Its Own Speed of Light
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
the bound says that for two operators. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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subscript
subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
Stated formally, the bound says that for two operators and acting on well-separated lattice sites x and y , the size of their commutator after evolving one of them forward in time t is capped by an exponential in the distance between the sites minus the cone’s own reach:
Sources cited in the article section
- [1] The Finite Group Velocity of Quantum Spin Systems ↗
- [3] Observation of Entanglement Propagation in a Quantum Many-Body System ↗
These citations give research context. Read each source to check which claims it supports.