What is recorded here?
For translation-invariant finite-range interactions on a quantum spin lattice with finite-dimensional site spaces, the norm of a commutator between separated local observables becomes exponentially small outside a sufficiently fast space-time cone. The proof bounds dynamical influence independently of the chosen quantum state.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
This is an exponentially suppressed tail, not exact relativistic causality or a theorem for arbitrary long-range and unbounded interactions. The finite velocity bound need not be sharp. The paper remarks on exponentially decaying extensions, but the core staged claim uses its explicit finite-range hypotheses.
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People and systems
Elliott H. Lieb; Derek W. Robinson
Source-listed authors for the exact contribution; experimental subjects are not autonomous scientific authors. Source support and predecessor work retain separate roles. Individual effort shares and unresolved identities are not inferred.
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English catalogue narrative
Lieb and Robinson: a finite propagation-velocity bound for quantum spin systems
For translation-invariant finite-range interactions on a quantum spin lattice with finite-dimensional site spaces, the norm of a commutator between separated local observables becomes exponentially small outside a sufficiently fast space-time cone. The proof bounds dynamical influence independently of the chosen quantum state.
Scientific scope
This is an exponentially suppressed tail, not exact relativistic causality or a theorem for arbitrary long-range and unbounded interactions. The finite velocity bound need not be sharp. The paper remarks on exponentially decaying extensions, but the core staged claim uses its explicit finite-range hypotheses.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Elliott H. Lieb; Derek W. Robinson
Source-listed authors for the exact contribution; experimental subjects are not autonomous scientific authors. Source support and predecessor work retain separate roles. Individual effort shares and unresolved identities are not inferred.