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Information transport in classical statistical systems
- Source :
- Nuclear Physics B, Vol 927, Iss, Pp 35-96 (2018), Nuclear Physics B
- Publication Year :
- 2018
- Publisher :
- Elsevier, 2018.
-
Abstract
- For "static memory materials" the bulk properties depend on boundary conditions. Such materials can be realized by classical statistical systems which admit no unique equilibrium state. We describe the propagation of information from the boundary to the bulk by classical wave functions. The dependence of wave functions on the location of hypersurfaces in the bulk is governed by a linear evolution equation that can be viewed as a generalized Schr\"odinger equation. Classical wave functions obey the superposition principle, with local probabilities realized as bilinears of wave functions. For static memory materials the evolution within a subsector is unitary, as characteristic for the time evolution in quantum mechanics. The space-dependence in static memory materials can be used as an analogue representation of the time evolution in quantum mechanics - such materials are "quantum simulators". For example, an asymmetric Ising model on a Euclidean two-dimensional lattice represents the time evolution of free relativistic fermions in two-dimensional Minkowski space.<br />Comment: additional material and references, 38 pages
- Subjects :
- Density matrix
Nuclear and High Energy Physics
FOS: Physical sciences
Quantum simulator
01 natural sciences
Schrödinger equation
Superposition principle
symbols.namesake
High Energy Physics - Lattice
0103 physical sciences
lcsh:Nuclear and particle physics. Atomic energy. Radioactivity
Boundary value problem
010306 general physics
Wave function
Condensed Matter - Statistical Mechanics
Physics
Quantum Physics
Statistical Mechanics (cond-mat.stat-mech)
010308 nuclear & particles physics
High Energy Physics - Lattice (hep-lat)
Time evolution
Classical mechanics
Quantum Gases (cond-mat.quant-gas)
symbols
lcsh:QC770-798
Ising model
Condensed Matter - Quantum Gases
Quantum Physics (quant-ph)
Subjects
Details
- Language :
- English
- ISSN :
- 05503213
- Volume :
- 927
- Database :
- OpenAIRE
- Journal :
- Nuclear Physics B
- Accession number :
- edsair.doi.dedup.....a859ed0ebd3fa1178e2f56c98dc7bf8e