A systematic interpolatory method for an impurity in a one-dimensional fermionic background
Keyword(s):
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.
2015 ◽
Vol 64
(3)
◽
pp. 356-360
◽
Keyword(s):
2020 ◽
Vol 4
(1)
◽
pp. 015002
◽
Keyword(s):
2004 ◽
Vol 339
(3-4)
◽
pp. 369-384
◽
Keyword(s):
2018 ◽
Vol 225
◽
pp. 59-91
◽
Keyword(s):
2014 ◽
Vol 64
(7)
◽
pp. 999-1003
◽
Keyword(s):
1996 ◽
Vol 213
(1-2)
◽
pp. 93-101
◽