Statics and dynamics of a one-dimensional quantum many-body system
Eugene B. Kolomeisky, Joseph P. Straley
TL;DR
This paper investigates the static and dynamic properties of a one-dimensional quantum many-body system at zero temperature, focusing on soliton behavior and interface solutions that describe phase boundaries and soliton-antisoliton interactions.
Contribution
It introduces a theoretical framework for understanding soliton density equations and their singular solutions in one-dimensional quantum systems.
Findings
Identification of boundary solutions between zero and finite soliton density regions
Description of annihilation fronts separating solitons and antisolitons
Analysis of moving and stationary interface solutions in the system
Abstract
The macroscopic zero-temperature behavior of weakly- incommensurate systems in one dimension is described in terms of solitons. The soliton density n obeys equations displaying several types of singular interface-like solutions: (i) equilibrium or moving boundary between the n = 0 and finite n regions, and (ii) stationary or moving annihilation front separating solitons from antisolitons.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates