Journal
EUROPEAN PHYSICAL JOURNAL D
Volume 71, Issue 2, Pages -Publisher
SPRINGER
DOI: 10.1140/epjd/e2017-70650-8
Keywords
-
Categories
Funding
- Danish Council for Independent Research DFF Natural Sciences
- DFF Sapere Aude program
- Villum Kann Rasmussen foundation
Ask authors/readers for more resources
We investigate one-dimensional harmonically trapped two-component systems for repulsive interaction strengths ranging from the non-interacting to the strongly interacting regime for Fermi-Fermi mixtures. A new and powerful mapping between the interaction strength parameters from a continuous Hamiltonian and a discrete lattice Hamiltonian is derived. As an example, we show that this mapping does not depend neither on the state of the system nor on the number of particles. Energies, density profiles and correlation functions are obtained both numerically (density matrix renormalization group (DMRG) and exact diagonalization) and analytically. Since DMRG results do not converge as the interaction strength is increased, analytical solutions are used as a benchmark to identify the point where these calculations become unstable. We use the proposed mapping to set a quantitative limit on the interaction parameter of a discrete lattice Hamiltonian above which DMRG gives unrealistic results.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available