Dimensional Reduction of Two-Dimensional Anyons to a One-Dimensional Interacting Bose Gas

Diptiman Sen

Dimensional Reduction of Two-Dimensional Anyons to a One-Dimensional Interacting Bose Gas

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv cond-mat/9412013 v1 pith:I33HPKOC submitted 1994-12-02 cond-mat hep-th

Diptiman Sen This is my paper · ORCID

classification cond-mathep-th

keywords one-dimensionalanyonsbosebosonschannelconjecturesystemtwo-dimensional

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

abstract

We conjecture that a two-dimensional anyon system reduces, when confined to a narrow channel, to a one-dimensional bose gas with a repulsive two-body $\delta$-function interaction. We verify this conjecture in first-order perturbation theory near bosons. If the channel width is reduced to zero, the one-dimensional system is fermionic for all anyons other than bosons.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Encoding a topological gauge theory on a ring-shaped Raman-coupled Bose gas
cond-mat.quant-gas 2025-10 accept novelty 6.0 of 10

A ring-shaped Raman-coupled Bose gas is shown to encode the chiral BF topological gauge theory, with density-dependent magnetic flux producing quantized currents and chiral sound.

Pith tools