TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.9.1.005
TI  - A systematic interpolatory method for an impurity in a one-dimensional fermionic background
PY  - 2020/07/13
UR  - https://scipost.org/SciPostPhys.9.1.005
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 9
IS  - 1
SP  - 005
A1  - Lindgren, Erik Jonathan
AU  - Barfknecht, Rafael
AU  - Zinner, Nikolaj
AB  - We explore a new numerical method for studying one-dimensional quantum systems in a trapping potential. We focus on the setup of an impurity in a fermionic background, where a single distinguishable particle interacts through a contact potential with a number 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 are compared with matrix product states methods and with the analytical result for two particles in a harmonic well.
ER  -

@Article{10.21468/SciPostPhys.9.1.005,
	title={{A systematic interpolatory method for an impurity in a one-dimensional fermionic background}},
	author={Erik J. Lindgren and Rafael E. Barfknecht and Nikolaj T. Zinner},
	journal={SciPost Phys.},
	volume={9},
	pages={005},
	year={2020},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.9.1.005},
	url={https://scipost.org/10.21468/SciPostPhys.9.1.005},
}