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Systematic interpolatory ansatz for one-dimensional polaron systems

by E. J. Lindgren, R. E. Barfknecht, N. T. Zinner

Submission summary

As Contributors: Erik Jonathan Lindgren
Preprint link: scipost_201908_00010v1
Date submitted: 2019-08-28
Submitted by: Lindgren, Erik Jonathan
Submitted to: SciPost Physics
Domain(s): Theor. & Comp.
Subject area: Quantum Physics

Abstract

We explore a new variational principle for studying one-dimensional quantum systems in a trapping potential. We focus on the Fermi polaron problem, where a single distinguishable impurity interacts through a contact potential with a background of identical fermions. We can accurately describe this system, for various particle numbers, different trapping potentials and arbitrary finite repulsion, by constructing a truncated basis containing states at both zero and infinite repulsion. The results agree well with matrix product states methods and with the analytical result for two particles in a harmonic well.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission scipost_201908_00010v1 on 28 August 2019

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