Abstract
Clusters of temporal optical solitons--stable self-localized light pulses preserving their form during propagation--exhibit properties characteristic of that encountered in crystals. Here, we introduce the concept of temporal solitonic information crystals formed by the lattices of optical pulses with variable phases. The proposed general idea offers new approaches to optical coherent transmission technology and can be generalized to dispersion-managed and dissipative solitons as well as scaled to a variety of physical platforms from fiber optics to silicon chips. We discuss the key properties of such dynamic temporal crystals that mathematically correspond to non-hermitian lattices and examine the types of collective mode instabilities determining the lifetime of the soliton train. This transfer of techniques and concepts from solid state physics to information theory promises a new outlook on information storage and transmission.
Highlights
The concept of a soliton is one of the most unifying theories of modern physics with nonlinear solitary waves observed and studied in a range of diverse fields of science
We discuss the key properties of such dynamic temporal crystals that mathematically correspond to non-Hermitian lattices and examine the types of collective mode instabilities determining the lifetime of the soliton train
The key novel point is that we propose the concept of dynamical lattices of solitons with different phases used for carrying or storing information, forming temporal solitonic information crystals (SICs)
Summary
The concept of a soliton is one of the most unifying theories of modern physics with nonlinear solitary waves observed and studied in a range of diverse fields of science (see, e.g., [1,2,3,4,5,6]). Temporal Solitonic Crystals and Non-Hermitian Informational Lattices
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