2008/12/16 by Michael Khasin, Ronnie Kosloff, Khasin, M. +1 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum many-body systems #Quantum, superfluid, helium dynamics
paper · pdf · doi:10.48550/arxiv.0812.3143
openalex publication_date 2008/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An algorithm for simulation of quantum many-body dynamics having su(2) spectrum-generating algebra is developed. The algorithm is based on the idea of dynamical coarse-graining. The original unitary dynamics of the target observables, the elements of the spectrum-generating algebra, is simulated by a surrogate open-system dynamics, which can be interpreted as weak measurement of the target observables, performed on the evolving system. The open-system state can be represented by a mixture of pure states, localized in the phase-space. The localization reduces the scaling of the computational resources with the Hilbert space dimension n by factor n3/2/ln n compared to conventional sparse-matrix methods. The guidelines for the choice of parameters for the simulation are presented and the scaling of the computational resources with the Hilbert space dimension of the system is estimated. The algorithm is applied to the simulation of the dynamics of systems of 2*104 and 2*106 cold atoms in the double-well trap, described by the two-sites Bose-Hubbard model.