Transition from Tonks-Girardeau gas to super-Tonks-Girardeau gas as an exact many-body dynamics problem

We investigate transition of a one-dimensional interacting Bose gas from a strongly repulsive regime to a strongly attractive regime, where a stable highly excited state known as the super Tonks-Girardeau gas was experimentally realized very recently. By solving exact dynamics of the integrable Lieb-Liniger Bose gas, we demonstrate that such an excited gas state can be a very stable dynamic state. Furthermore we calculate the breathing mode of the super Tonks-Girardeau gas which is found to be in good agreement with experimental observation. Our results show that the highly excited super Tonks-Girardeau gas phase can be well understood from the fundamental theory of the solvable Bose gas.Comment: 4 pages, 4 figures, version to appear in Phys. Rev. A as a Rapid Communicatio

Realization of effective super Tonks-Girardeau gases via strongly attractive one-dimensional Fermi gases

A significant feature of the one-dimensional super Tonks-Girardeau gas is its metastable gas-like state with a stronger Fermi-like pressure than for free fermions which prevents a collapse of atoms. This naturally suggests a way to search for such strongly correlated behaviour in systems of interacting fermions in one dimension. We thus show that the strongly attractive Fermi gas without polarization can be effectively described by a super Tonks-Girardeau gas composed of bosonic Fermi pairs with attractive pair-pair interaction. A natural description of such super Tonks-Girardeau gases is provided by Haldane generalized exclusion statistics. In particular, we find that they are equivalent to ideal particles obeying more exclusive statistics than Fermi-Dirac statistics.Comment: 4 pages, 2 figure

Role of Trust and Involvement in the Effectiveness of Digital Third-Party Organization Endorsement

In this research, an online experiment was conducted to investigate the effect of the mere presence of digital third-party organization (TPO) endorsement and the quality of information conveyed by a digital TPO, referred to as the endorsement information value effect. Involvement and institution-based trust were tested as moderators of the endorsement information value effect. The results confirm the intuitive belief of managers that the mere presence of a digital TPO endorsement benefits websites by reducing risk perceptions, improving attitudes and increasing choice likelihood. The findings from this research revealed that effectiveness of digital TPO endorsement information value was contingent upon the level of involvement with the effects being found only among high involvement consumers but not among low involvement consumers. Similarly, effectiveness of digital TPO endorsement information value is also contingent on institution-based trust, with the effect of endorsement information value emerging only for low institution-based trust consumers but not for high institution-based trust consumers. Thus, a higher information value digital TPO will increase choice over a low information value digital TPO only if the consumer is highly involved or has low institution-based trust

Bias in Stabilized Sieve Sampling

The stabilized sieve sample selection method (SSM) is considered to be a probability proportional to size (PPS) sampling method with an unbiased estimator (Horgan 1997, 1998). This article demonstrates that SSM does not select items with PPS and that the point estimator is biased