Sunbeam: A Ray of Hope for Trademark Licensees

In the 1985 decision Lubrizol Enterprises v. Richmond Metal Finishers, the Fourth Circuit established that a licensor’s rejection of an intellectual property license under § 365 of the U.S. Bankruptcy Code terminates the licensee’s right to continue using the license. Concerned about the detrimental effects that Lubrizol would have on technological development in the United States, Congress responded swiftly by enacting the Intellectual Property Licenses in Bankruptcy Act (IPLBA), which exempted certain forms of intellectual property, such as copyrights, patents, and trade secrets, from rejection under § 365 of the Code. Trademarks, however, are notably absent from Congress’s definition of “intellectual property,” causing the trademark licensing community to question the reach of the IPLBA’s protections. Recently, the Seventh Circuit held that a trademark licensee may continue using a licensed trademark following rejection, despite Congress’s omission of trademarks from its listed definition of “intellectual property.” This Note examines the divide between the Fourth and Seventh Circuits, and it contends that careful consideration of existing executory contract doctrine and the IPLBA’s legislative history, as well as the balance of equities, suggests that trademark licensees should retain their rights to continue utilizing licensed trademarks following rejection

Passive interferometric symmetries of multimode Gaussian pure states

As large-scale multimode Gaussian states begin to become accessible in the laboratory, their representation and analysis become a useful topic of research in their own right. The graphical calculus for Gaussian pure states provides powerful tools for their representation, while this work presents a useful tool for their analysis: passive interferometric (i.e., number-conserving) symmetries. Here we show that these symmetries of multimode Gaussian states simplify calculations in measurement-based quantum computing and provide constructive tools for engineering large-scale harmonic systems with specific physical properties, and we provide a general mathematical framework for deriving them. Such symmetries are generated by linear combinations of operators expressed in the Schwinger representation of U(2), called nullifiers because the Gaussian state in question is a zero eigenstate of them. This general framework is shown to have applications in the noise analysis of continuous-various cluster states and is expected to have additional applications in future work with large-scale multimode Gaussian states.Comment: v3: shorter, included additional applications, 11 pages, 7 figures. v2: minor content revisions, additional figures and explanation, 23 pages, 18 figures. v1: 22 pages, 16 figure

Coexistence of glassy antiferromagnetism and giant magnetoresistance (GMR) in Fe/Cr multilayer structures

Using temperature-dependent magnetoresistance and magnetization measurements on Fe/Cr multilayers that exhibit pronounced giant magnetoresistance (GMR), we have found evidence for the presence of a glassy antiferromagnetic (GAF) phase. This phase reflects the influence of interlayer exchange coupling (IEC) at low temperature (T < 140K) and is characterized by a field-independent glassy transition temperature, Tg, together with irreversible behavior having logarithmic time dependence below a "de Almeida and Thouless" (AT) critical field line. At room temperature, where the GMR effect is still robust, IEC plays only a minor role, and it is the random potential variations acting on the magnetic domains that are responsible for the antiparallel interlayer domain alignment.Comment: 5 pages, 4 figure

Phase diagram of hole doped two-leg Cu-O ladders

In the weak coupling limit, we establish the phase diagram of a two-leg ladder with a unit cell containing both Cu and O atoms, as a function of doping. We use bosonization and design a specific RG procedure to handle the additional degrees of freedom. Significant differences are found with the single orbital case; for purely repulsive interactions, a completely massless quantum critical region is obtained at intermediate carrier concentrations (well inside the bands) where the ground state consists of an incommensurate pattern of orbital currents plus a spin density wave (SDW) structure.Comment: 4 pages, 2 figures, accepted to Phys. Rev. B, Rapid Com

Bounday Condition histograms for modulated phases

Boundary conditions strongly affect the results of numerical computations for finite size inhomogeneous or incommensurate structures. We present a method which allows to deal with this problem, both for ground state and for critical properties: it combines fluctuating boundary conditions and specific histogram techniques. Our approach concerns classical systems possessing a continuous symmetry as well as quantum systems. In particular, current-current correlation functions, which probe large scale coherence of the states, can be accurately evaluated. We illustrate our method on a frustrated two dimensional XY model.Comment: 31 pages, 8 figure