Quantum Mechanics with Random Imaginary Scalar Potential
A. V. Izyumov, B. D. Simons
Abstract
We study spectral properties of a non-Hermitian Hamiltonian describing a quantum particle propagating in a random imaginary scalar potential. Cast in the form of an effective field theory, we obtain an analytical expression for the ensemble averaged one-particle Green function from which we obtain the density of complex eigenvalues. Based on the connection between non-Hermitian quantum mechanics and the statistical mechanics of polymer chains, we determine the distribution function of a self-interacting polymer in dimensions d>4.
Create a lesson
Related papers
The Stone-Wales trefoil: a new topological defect in graphene
M. V. Kondrin, Y. B. Lebed, V. V. Brazhkin
Short-Range Vector Spin Glasses: Parisi Hierarchies and Real-Space Ultrametricity
Akash Vijay, Jaewon Kim, Jong Yeon Lee
Lyapunov spectrum of random neural networks
David G. Clark
Revealing more on complex energy landscapes by passing less local information: Cavity approach with trust region in non-convex optimization problems
Zhiqi Xu, Chi Ho Yeung
Predicting activation-barrier and plasticity-onset statistics in a model of glasses
Makoto Suda, Edan Lerner, Eran Bouchbinder
Classifications in modular restricted Boltzmann machines
Elena Agliari, Andrea Lepre, Edoardo Roscani