A one-dimensional lattice model for a quantum mechanical free particle
A. C. de la Torre
Abstract
Two types of particles, A and B with their corresponding antiparticles, are defined in a one dimensional cyclic lattice with an odd number of sites. In each step of time evolution, each particle acts as a source for the polarization field of the other type of particle with nonlocal action but with an effect decreasing with the distance: A -->...B B B B B ... ; B --> A A A A A ... . It is shown that the combined distribution of these particles obeys the time evolution of a free particle as given by quantum mechanics.
Create a lesson
Related papers
Spectral Fingerprints of Gauge Theories on a Quantum Computer
Graham Van Goffrier, Debasish Banerjee, Bipasha Chakraborty et al.
Dynamics of local quantum information in random unitary circuits
Ratul Thakur, Sthitadhi Roy
Factorized Boolean representations for efficient quantum synthesis
Mehul Shah, Robert Fiszer, Marek Perkowski
Detuning- and Stark-robust Rydberg gates
Elie Bataille, Gyohei Nomura, Manuel Endres
Krylov Break Times from an Inhomogeneous Lieb--Robinson Light Cone
Shunji Matsuura, Yoji Kawamura, Joseph Salfi et al.
Stochastic transport of a Goldstone mode in a self-organized atomic crystal
Zhanhai Yu, Di Xiang, Xiaotian Zhang et al.