.png){kind=icon}
.png){kind=icon}
Return
Lieb-Liniger model with exponentially decaying interactions: A continuous matrix product state study
.png){kind=icon}
OA
AI
DOI：10.1103/PhysRevB.92.115107.png)
.png){kind=icon}
.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
The Lieb-Liniger model describes one-dimensional bosons interacting through a repulsive contact potential. In this work, we introduce an extended version of this model by replacing the contact potential with a decaying exponential. Using the recently developed continuous matrix product states techniques, we explore the ground-state phase diagram of this model by examining the superfluid and density correlation functions. At weak coupling superfluidity governs the ground state, in a similar way as in the Lieb-Liniger model. However, at strong coupling quasicrystal and super-Tonks-Girardeau regimes are also found, which are not present in the original Lieb-Liniger case. Therefore the presence of the exponentially decaying potential leads to a superfluid/super-Tonks-Girardeau/quasicrystal crossover, when tuning the coupling strength from weak to strong interactions. This corresponds to a Luttinger liquid parameter in the range K is an element of (0,infinity), in contrast with the Lieb-Liniger model, where K is an element of [1,infinity), and the screened long-range potential, where K is an element of (0,1].
Keywords:
RENORMALIZATION-GROUP
ULTRACOLD GASES
ONE-DIMENSION
GROUND-STATE
BOSE-GAS
SYSTEMS
BOSONS
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
3.7
Papers:
15.4W
Citations:
41.0W