Localization of a pair of bound particles in a random potential
M. Turek, W. John
Abstract
We study the localization length of a pair of two attractively bound particles moving in a one-dimensional random potential. We show in which way it depends on the interaction potential between the constituents of this composite particle. For a pair with many bound states N the localization length is proportional to N, independently of the form of the two particle interaction. For the case of two bound states we present an exact solution for the corresponding Fokker-Planck equation and demonstrate that the localization length depends sensitively on the shape of the interaction potential and the symmetry of the bound state wave functions.
Create a lesson
Related papers
Attention over noisy examples: generalization and memorization in the exponential Hopfield network
Francesco Alemanno
Finite-size geometric crossover toward fragmentation of the potential energy shell in the quantum random energy model
Ishita Modak, Vatsana Tiwari, Soumya Bera
Testing Replica Symmetry Breaking in the three-dimensional Edwards-Anderson model by using vanishing fields
Miguel Aguilar-Janita, Silvio Franz, Victor Martin-Mayor et al.
Deep Learning of Phase Transitions for Bilinear-Biquadratic Spin-1 Chains from Correlation Aspects
Ming-Chiang Chung, Yu-Ting Kuo, Ian McCulloch et al.
Resolving Structural Uncertainty in Stochastic Dynamical Systems via Ensemble-Based Bayesian Inference
Francesco Zambelli, Valeria D'Andrea, Manlio De Domenico
Seismology of Glasses
Zhiyu Cao, Peter G. Wolynes