Berlin 2024 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 35: Poster: Quantum Dynamics and Many-body Systems
DY 35.2: Poster
Mittwoch, 20. März 2024, 15:00–18:00, Poster D
Impact of noise on localized solutions in the discrete nonlinear Schrödinger equation — •Mahdieh Ebrahimi1, Wolfram Just2, and Barbara Drossel1 — 1Institute of Condensed Matter Physics, Technical University of Darmstadt, Hochschulstr. 6, 64289 Darmstadt, Germany — 2Institute of Mathematics, University of Rostock, D-18057 Rostock Germany
The Discrete Nonlinear Schrodinger equation (DNLS) serves as a prominent model across various scientific domains, ranging from physics and chemistry to biology. Within the realm of Hamiltonian systems, the nonlinear Schrodinger equation emerges as a fundamental representation for pattern formation, with a particular focus on examining localized solutions known as breather states. Understanding the underlying processes of the discrete systems is important for many physical phenomena such as excitations in crystal lattices and molecular chains, the light propagation in waveguide arrays, and the dynamics of Bose-condensate droplets. Here, we consider the DNLS as an effective macroscopic equation for a quantum mechanical many-particle system. We explore how localized solutions are affected by adding damping and noise to the Hamiltonian equations of motion.
Keywords: Discrete Nonlinear Schr ̈odinger equation (DNLS); Damping; Noise; localized solutions; Quantum Mechanic