Exact ground states of quantum many-body systems under confinement
Quantum Physics
2020-10-23 v1 Quantum Gases
Mathematical Physics
math.MP
Abstract
Knowledge of the ground state of a homogeneous quantum many-body system can be used to find the exact ground state of a dual inhomogeneous system with a confining potential. For the complete family of parent Hamiltonians with a ground state of Bijl-Jastrow form in free space, the dual system is shown to include a one-body harmonic potential and two-body long-range interactions. The extension to anharmonic potentials and quantum solids with Nosanov-Jastrow wavefunctions is also presented. We apply this exact mapping to construct eigenstates of trapped systems from free-space solutions with a variety of pair correlation functions and interparticle interactions.
Keywords
Cite
@article{arxiv.2005.03904,
title = {Exact ground states of quantum many-body systems under confinement},
author = {Adolfo del Campo},
journal= {arXiv preprint arXiv:2005.03904},
year = {2020}
}
Comments
6 pages