Specialists from Tomsk Polytechnic University (TPU), together with colleagues from Tomsk State University (TSU), have developed a new approach to analyzing nonlinear Schrödinger equations — fundamental formulas of quantum mechanics that describe the behavior of particles at the micro level.
These equations, named after Austrian physicist Erwin Schrödinger, underlie the understanding of quantum phenomena, including the famous "Schrödinger's cat" paradox, which illustrates the principle of superposition (when an object exists in two states simultaneously until it is observed).
Scientists have studied the dynamics of quasiparticles — conditional "clumps" of energy that behave like classical particles, but in reality represent collective interactions in matter. Experiments have shown that two weakly bound quasiparticles interact fundamentally differently than single ones. This discovery helps to better understand non-local effects in condensed matter and model ultrashort laser pulses.
Our method allows us to predict how long-range connections form new structures in nonlinear systems
The developed mathematical apparatus can be used to create lasers with increased accuracy, elements of quantum computers, and radio wave receivers. For example, controlled pulse sequences will improve technologies in medicine and telecommunications, and understanding the interactions of quasiparticles will accelerate the development of secure quantum networks.
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