Skip to main content

Worldline approach to few-body physics on the Lattice

Publication ,  Conference
Singh, H; Chandrasekharan, S
Published in: Proceedings of Science
January 1, 2018

We study the physics of two species of non-relativistic hard-core bosons with attractive or repulsive delta function interactions on a spacetime lattice using the worldline formulation. By tuning the chemical potential carefully we show that worm algorithms can efficiently sample the worldline configurations in any fixed particle-number sector. Since fermions can be treated as hard-core bosons up to a permutation sign, we also apply this approach to non-relativistic fermions. The fermion permutation sign is treated as an observable in this approach and can be used to extract energies for each particle-number sector. Since in one dimension non-relativistic fermions can only permute due to boundary effects, unlike the auxiliary field method, in many cases our approach does not suffer from sign problems. Using our method we discover limitations of the recently proposed complex Langevin calculations in one dimension.

Duke Scholars

Published In

Proceedings of Science

EISSN

1824-8039

Publication Date

January 1, 2018

Volume

334
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Singh, H., & Chandrasekharan, S. (2018). Worldline approach to few-body physics on the Lattice. In Proceedings of Science (Vol. 334).
Singh, H., and S. Chandrasekharan. “Worldline approach to few-body physics on the Lattice.” In Proceedings of Science, Vol. 334, 2018.
Singh H, Chandrasekharan S. Worldline approach to few-body physics on the Lattice. In: Proceedings of Science. 2018.
Singh, H., and S. Chandrasekharan. “Worldline approach to few-body physics on the Lattice.” Proceedings of Science, vol. 334, 2018.
Singh H, Chandrasekharan S. Worldline approach to few-body physics on the Lattice. Proceedings of Science. 2018.

Published In

Proceedings of Science

EISSN

1824-8039

Publication Date

January 1, 2018

Volume

334