Exact ground states of quantum many-body systems under confinement

• URL: http://arxiv.org/abs/2005.03904v1
• Date: Fri, 8 May 2020 08:39:00 GMT
• Title: Exact ground states of quantum many-body systems under confinement
• Authors: Adolfo del Campo
• Abstract summary: 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.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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