Redistribution of particle and anti-particle entanglement in non-inertial frames

We analyse the entanglement tradeoff between particle and anti-particle modes of a Dirac field from the perspective of inertial and uniformly accelerated observers. Our results show that a redistribution of entanglement between particle and anti-particle modes plays a key role in the survival of fermionic field entanglement in the infinite acceleration limit.Comment: 10 pages, 5 figures, revtex4. Added journal referenc

Dynamical Casimir effect in curved spacetime

A boundary undergoing relativistic motion can create particles from quantum vacuum fluctuations in a phenomenon known as the dynamical Casimir effect. We examine the creation of particles, and more generally the transformation of quantum field states, due to boundary motion in curved spacetime. We provide a novel method enabling the calculation of the effect for a wide range of trajectories and spacetimes. We apply this to the experimental scenario used to detect the dynamical Casimir effect, now adopting the Schwarzschild metric, and find novel resonances in particle creation as a result of the spacetime curvature. Finally, we discuss a potential enhancement of the effect for the phonon field of a Bose-Einstein condensate.Comment: 17 pages, 0 figures, 2 appendice

Foreword: Reflections on our Founding

Law Journals have been under heavy criticism for as long as we can remember. The criticisms come from all quarters, including judges, law professors, and even commentators at large. In an address at the Fourth Circuit Judicial Conference almost a decade ago, for example, Chief Justice Roberts complained about the “disconnect between the academy and the profession.” More pointedly, he continued, “[p]ick up a copy of any law review that you see, and the first article is likely to be, you know, the influence of Immanuel Kant on evidentiary approaches in 18th Century Bulgaria, or something, which I’m sure was of great interest to the academic that wrote it, but isn’t of much help to the bar.” Similarly, law professors have developed what Lawrence Friedman calls “a literature of invective” against law reviews. Adam Liptak summarized one line of criticism with a question: “[W]hy are law reviews, the primary repositories of legal scholarship, edited by law students?

Race, Federalism, and Voting Rights

In Shelby County v. Holder, the Court struck down an important provision of the Voting Rights Act, section 4, on federalism grounds. The Court argued that Congress no longer had the power to enact section 4 because of the “federalism costs” imposed by the Act and because the Act violated basic principles of federalism. Unfortunately, the Court failed to articulate the costs to federalism imposed by the Act, much less conduct a cost-benefit analysis in order to determine whether the benefits of the Act outweighed its costs. Moreover, the Court failed to discuss whether the Reconstruction Amendments ought to matter at all to the federalism debate. In this Essay, we ask three basic questions in response to Shelby County. First, what does the Court mean by “federalism costs,” and why have these costs undermined the constitutionality of the VRA? Second, does the failure to discuss Reconstruction and the Reconstruction Amendments undermine the Court’s decision in Shelby County? And third, we ask how should we understand the utility of federalism in the context of race and voting. We suggest that if one purpose of federalism is that it enables minorities to engage in self-rule, we should ask whether federalism enables racial minorities to engage in self-rule

Foreword: Reflections on our Founding

Law Journals have been under heavy criticism for as long as we can remember. The criticisms come from all quarters, including judges, law professors, and even commentators at large. In an address at the Fourth Circuit Judicial Conference almost a decade ago, for example, Chief Justice Roberts complained about the “disconnect between the academy and the profession.” More pointedly, he continued, “[p]ick up a copy of any law review that you see, and the first article is likely to be, you know, the influence of Immanuel Kant on evidentiary approaches in 18th Century Bulgaria, or something, which I’m sure was of great interest to the academic that wrote it, but isn’t of much help to the bar.” Similarly, law professors have developed what Lawrence Friedman calls “a literature of invective” against law reviews. Adam Liptak summarized one line of criticism with a question: “[W]hy are law reviews, the primary repositories of legal scholarship, edited by law students?

Coronal Loop Expansion Properties Explained Using Separators

One puzzling observed property of coronal loops is that they are of roughly constant thickness along their length. Various studies have found no consistent pattern of width variation along the length of loops observed by TRACE and SOHO. This is at odds with expectations of magnetic flux tube expansion properties, which suggests that loops are widest at their tops, and significantly narrower at their footpoints. Coronal loops correspond to areas of the solar corona which have been preferentially heated by some process, so this observed property might be connected to the mechanisms that heat the corona. One means of energy deposition is magnetic reconnection, which occurs along field lines called separators. These field lines begin and end on magnetic null points, and loops forming near them can therefore be relatively wide at their bases. Thus, coronal energization by magnetic reconnection may replicate the puzzling expansion properties observed in coronal loops. We present results of a Monte Carlo survey of separator field line expansion properties, comparing them to the observed properties of coronal loops.Comment: 16 pages, 9 figures, to be submitted to Ap