Freiburg 2024 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 26: Ultracold Molecules (joint session Q/MO)

Q 26.3: Talk

Wednesday, March 13, 2024, 11:45–12:00, HS 1015

Quantum Dynamics of Two Composite Bosons on a One-Dimensional Lattice — •Caroline Stier, Andreas Buchleitner, and Gabriel Dufour — Physikalisches Institut der Albert-Ludwigs-Universität Freiburg

We study how the dynamics of two composite bosons on a one-dimensional lattice are affected by their constituents' quantum statistics as well as their initial state. We formulate an effective Hamiltonian assuming that the two composites -- consisting either of two elementary fermions or two elementary bosons -- are tightly bound objects. The contact interactions between the elementary constituents are chosen such that the resulting composite particles do not interact when they are located on the same site. However, due to the exchange of identical constituents, the composites experience an effective nearest-neighbor interaction if they are located on adjacent sites. We solve the Schrödinger equation analytically and perform numerical simulations of the dynamics from several initial configurations. In particular, we find that the composites can form a bound state whose group velocity depends strongly on the nature of their constituents.

Keywords: quantum walk; quantum statistics; bosons; fermions; composite particles