Interferometric signature of non-Abelian anyons

We consider the tunneling current through a double point-contact Fabry-Pérot interferometer such as used in recent experimental studies of the fractional quantum Hall plateau at filling fraction v=5/2. We compare the predictions of several different models of the state of the electrons at this plateau: the Moore-Read, anti-Pfaffian, SU(2)_2 NAF, K=8 strong pairing, and (3,3,1) states. All of these predict the existence of charge e/4 quasiparticles, but the first three are non-Abelian while the last two are Abelian. We give explicit formulas for the scaling of charge e/2 and charge e/4 quasiparticle contributions to the current as a function of temperature, gate voltage, and distance between the two point contacts for all three models. Based on these, we analyze several possible explanations of two phenomena reported for recent experiments by Willett et al., namely, halving of the period of the observed resistance oscillations with rising temperature and alternation between the same two observed periods at low temperatures as the area of the interference loop is varied with a side gate. We conclude that the most likely explanation is that the observed alternation is due to switching between even and odd numbers of charge e/4 quasiparticles enclosed within the loop as a function of side-gate voltage, which is a clear signature of the presence of non-Abelian anyons. However, there are important features of the data which do not have a simple explanation within this picture. We suggest further experiments which could help rule out some possible scenarios. We make the corresponding predictions for future tunneling and interference experiments at the other observed second Landau level fractional quantum Hall states

Understanding Noncompetition Agreements: The 2014 Noncompete Survey Project

In recent years, scholars and policymakers have devoted considerable attention to the potential consequences of employment noncompetition agreements and to whether legislatures ought to reform the laws that govern the enforcement of these controversial contractual provisions. Unfortunately, much of this interest—and the content of proposed reforms—derives from anecdotal tales of burdensome noncompetes among low-wage workers and from scholarship that is either limited to slivers of the population (across all studies, less than 1%) or relies on strong assumptions about the incidence of noncompetition agreements. Better understanding of the use of noncompetes and effective noncompetition law reform requires a more complete picture of the frequency and distribution of noncompetes at the individual employee level. Accordingly, in 2014, we administered a nationwide survey of individuals in the labor force to ask them about their employment status, history, and future expectations—including their experience with and understanding of noncompetition agreements. In this Article, we describe the methods we used to carry out this survey and refine the data for analysis in hopes of encouraging other researchers to use survey approaches to fill other, similarly important gaps in our knowledge. To illustrate the value of the survey project, we present a surprising empirical finding from our data, one that raises questions about existing scholarship and theories about why employers use noncompetes: We find little evidence that the incidence of noncompetition agreements in a state (after controlling for potentially confounding factors) has any relationship to the level of enforcement of such agreements in that state. In other words, an employee in California (where noncompetes are prohibited) appears to be just as likely to labor under a noncompete as an employee in Florida (where noncompetes are much more likely to be enforced)

The non-Abelian Interferometer

We consider the tunneling current through a double point-contact Fabry-Perot interferometer such as used in recent experimental studies of the fractional quantum Hall plateau at filling fraction nu=5/2. We compare the predictions of several different models of the state of the electrons at this plateau: the Moore-Read, anti-Pfaffian, SU(2)_2 NAF, K=8 strong pairing, and (3,3,1) states. All of these predict the existence of charge e/4 quasiparticles, but the first three are non-Abelian while the last two are Abelian. We give explicit formulas for the scaling of charge e/2 and charge e/4 quasiparticle contributions to the current as a function of temperature, gate voltage and distance between the two point contacts for all three models. Based on these, we analyze several possible explanations of two phenomena reported for recent experiments by Willett et al., namely halving of the period of the observed resistance oscillations with rising temperature and alternation between the same two observed periods at low temperatures as the area of the interference loop is varied with a side gate. We conclude that the most likely explanation is that the observed alternation is due to switching between even and odd numbers of charge e/4 quasiparticles enclosed within the loop as a function of side gate voltage, which is a clear signature of the presence of non-Abelian anyons. However, there are important features of the data which do not have a simple explanation within this picture. We suggest further experiments which could help rule out some possible scenarios. We make the corresponding predictions for future tunneling and interference experiments at the other observed second Landau level fractional quantum Hall states.Comment: 15 pages, 1 figure; v2: additional discussions and references added; v3: clarifications and references updated; Appendix C has been removed and incorporated in arXiv:0909.1056; this paper has been given the more clear, accurate, and informative title "Interferometric signature of non-Abelian anyons" in PRB by its editor

The role of FDG-PET/CT imaging in early detection of extra-cardiac complications of infective endocarditis

AbstractThe exact incidence of extra-cardiac complications (ECC) in patients with infective endocarditis (IE) is unknown but presumed to be high. These patients, although mostly asymptomatic, may require a more aggressive therapeutic approach. 18fluorodeoxyglucose–positron emission tomography/computed tomography (FDG-PET/CT) is used for the diagnosis of infections, but its role in the early diagnosis of IE complications is still unclear. This study aimed to evaluate the role of FDG-PET/CT in the early diagnosis of ECC in IE and its implications for medical management. We prospectively studied 40 consecutive patients with a confirmed diagnosis of IE (according to the modified Duke criteria) who underwent a whole body FDG-PET/CT study within 14 days from diagnosis. The FDG-PET/CT demonstrated ECC in 17 (42.5%) patients, while 8 (38.1%) of them were asymptomatic. The most frequent embolic sites were musculoskeletal and splenic. Owing to the FDG-PET/CT findings, treatment planning was modified in 14 (35%) patients. This included antibiotic treatment prolongation (27.5%), referral to surgical procedures (15%) and, most substantially, prevention of unnecessary device extraction (17.7%). According to our experiences, FDG-PET/CT imaging was useful in the detection of embolic and metastatic infections in IE. This clinical information had a significant diagnostic and therapeutic impact in managing IE disease

Non-competition covenants in acquisition deals

We study the changes in the consumers’ and producers’ surplus associated with acquisition deals where there is a non-competition covenant that forbids the seller from re-entering the market over a given time period. We find that these cquisition deals can lead to significant negative (positive) changes in the producers’ consumers’) surplus, which decrease significantly with the time period of the covenant. We also show that the effect of the time period of the covenant on the welfare change can be positive or negative. It depends largely on the market conditions, such as the profit uncertainty and growth rate

Local Charge of the nu=5/2 Fractional Quantum Hall State

Electrons in two dimensions and strong magnetic fields effectively lose their kinetic energy and display exotic behavior dominated by Coulomb forces. When the ratio of electrons to magnetic flux quanta in the system is near 5/2, the unique correlated phase that emerges is predicted to be gapped with fractionally charged quasiparticles and a ground state degeneracy that grows exponentially as these quasiparticles are introduced. Interestingly, the only way to transform between the many ground states would be to braid the fractional excitations around each other, a property with applications in quantum information processing. Here we present the first observation of localized quasiparticles at nu=5/2, confined to puddles by disorder. Using a local electrometer to compare how quasiparticles at nu=5/2 and nu=7/3 charge these puddles, we are able to extract the ratio of local charges for these states. Averaged over several disorder configurations and samples, we find the ratio to be 4/3, suggesting that the local charges are e/3 at seven thirds and e/4 at five halves, in agreement with theoretical predictions. This confirmation of localized e/4 quasiparticles is necessary for proposed interferometry experiments to test statistics and computational ability of the state at nu=5/2.Comment: 6 pages, 4 figures corrected titl