Dear colleagues,
for the final ITAMP lunch discussion of this semester we are happy to have Jesper Levinsen
from Monach University in Melbourne as our speaker.
Jesper is here the rest of the week. If you would like to meet with him, here is the link
to the schedule:
https://docs.google.com/spreadsheets/d/15hcUWC4JCZFbuLtyj0yYVNDGqw5Nqm0d4vD…
<https://docs.google.com/spreadsheets/d/15hcUWC4JCZFbuLtyj0yYVNDGqw5Nqm0d4vD4GYbdIWc/edit?usp=sharing>
Kind regards,
Richard and Swati
ITAMP Topical Lunch Discussion
Date: Friday, May 29th
Time: 12:00-1:30 pm
Pizza will be served.
Location: B-106 @ Center for Astrophysics (60 Garden Street)
Directions: after entering the lobby of the CfA, turn right to enter the hallway of the B
building. In the hallway, turn right again, and B-106 is there.
Speaker: Jesper Levinsen, Monash University, Melbourne
Title: Strong-coupling ansatz for the one-dimensional Fermi gas in a harmonic potential
Abstract: The one-dimensional (1D) Fermi gas with repulsive short-range interactions
provides an important model of strong correlations and is often amenable to exact methods.
However, in the presence of confinement, no exact solution is known for an arbitrary
number of strongly interacting fermions. Here, we propose a novel ansatz for generating
the lowest-energy wavefunctions of the repulsive 1D Fermi gas in a harmonic potential near
the Tonks-Girardeau limit of infinite interactions. We specialize to the case of a single
impurity particle interacting with N majority particles, where we may derive analytic
forms of the approximate wavefunctions. Comparing with exact numerics, we show that the
overlap between the wavefunctions from our ansatz and the exact ones in the ground-state
manifold exceeds 0.9997 for N<8. Moreover, the overlap for the ground-state
wavefunction at strong repulsion extrapolates to ~0.9999 in the thermodynamic limit. Thus,
our ansatz is essentially indistinguishable from "numerically exact" results in
both the few- and many-body limits.
---------------------------
Dr. Richard Schmidt
Institute for Theoretical Atomic, Molecular, and Optical Physics (ITAMP)
Harvard-Smithsonian Center for Astrophysics MS-14
60 Garden St.
Cambridge, MA 02138
U.S.A.
richard.schmidt(a)cfa.harvard.edu
Tel. +1 (617) 496-7610
Fax +1 (617) 496-7668