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Grand Rapids, MI, United States

Pozsgay B.,Momentum
Journal of Statistical Mechanics: Theory and Experiment | Year: 2013

We consider the generalized Gibbs ensemble (GGE) in the context of global quantum quenches in XXZ Heisenberg spin chains. Embedding the GGE into the quantum transfer matrix formalism, we develop an iterative procedure to fix the Lagrange multipliers and to calculate predictions for the long-time limit of short-range correlators. The main idea is to consider truncated GGEs with only a finite number of charges and to investigate the convergence of the numerical results as the truncation level is increased. As an example we consider a quantum quench situation where the system is initially prepared in the Néel state and then evolves with an XXZ Hamiltonian with anisotropy Δ > 1. We provide predictions for short-range correlators and gather numerical evidence that the iterative procedure indeed converges. The results show that the system retains memory of the initial condition, and there are clear differences between the numerical values of the correlators as calculated from the purely thermal and generalized Gibbs ensembles. © 2013 IOP Publishing Ltd and SISSA Medialab srl. Source


Pozsgay B.,Momentum
Journal of High Energy Physics | Year: 2013

We derive an exact formula for finite volume excited state mean values of local operators in 1+1 dimensional Integrable QFT with diagonal scattering. Our result is a non-trivial generalization of the LeClair-Mussardo series, which is a form factor expansion for finite size ground state mean values. © 2013 SISSA, Trieste, Italy. Source


Patent
Momentum | Date: 2013-09-19

An air freshener system includes a roll paper assembly and an air freshener assembly coupled with the roll paper assembly. The air freshener assembly includes an integrated air freshener element in the form of a single, continuous gel component.


Hybrid hydrogels formed of a plurality of peptides that are capable of self-assembling into a hydrogel in an aqueous solution and a biocompatible polymer that is characterized by high swelling capability, high elasticity and low mechanical strength are disclosed, with exemplary hybrid hydrogels being formed of a plurality of aromatic dipeptides and hyaluronic acid. The hybrid hydrogels are characterized by controllable mechanical and biological properties which can be adjusted by controlling the concentration ratio of the peptides and the polymer, and which average the mechanical and biological properties of the peptides and the polymer. Processes of preparing the hydrogels and uses thereof in pharmaceutical, cosmetic or cosmeceutic applications such as tissue engineering and/or regeneration are further disclosed.


An energy dissipator for use in a sumped manhole includes a sheet member. The sheet member defines a downstream surface, an upstream surface opposite the downstream surface, and opposing side edges each extending between the downstream surface and the upstream surface. The sheet member includes a plurality of apertures. Each of the plurality of apertures extends through both the downstream surface and the upstream surface. The sheet member extends in an arcuate manner between the opposing side edges. The dissipator is configured to intercept fluid flow within the manhole to decrease energy and control flow dynamics within the manhole.

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