Dr. Prosen Replies

Prosen, Harry

doi:10.1177/070674378002500229

Cited by 9 publications

(31 citation statements)

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“…Then, using the quasi-orthogonality relation (3) the norm of the scar wave function in the domain is 1 to order k −1 . Our aim is to describe this subspace in terms of states constructed on periodic orbits, as in (13). This is not dissimilar to the task of describing them in terms of plane or cylindrical waves.…”

Section: The Scar Function On the Boundarymentioning

confidence: 99%

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Quantitative study of scars in the boundary section of the stadium billiard

1997

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We construct a semiclassically invariant function on the boundary of the billiard, taken as the Poincaré section in Birkhoff coordinates, based on periodic orbit information, as an ansatz for the normal derivative of the eigenfunction. Defining an appropriate scalar product on the section, we can compute the scar intensity of a given periodic orbit on an eigenstate, as the overlap between the constructed function and the normal derivative on the section of the eigenstate. In this way, we are able to investigate how periodic orbits scar the spectrum and how a given eigenstate decomposes into scar functions. We use this scheme on the Bunimovich stadium. ͓S1063-651X͑97͒11509-4͔

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Section: The Scar Function On the Boundarymentioning

confidence: 99%

“…To eliminate spurious behaviour of the Fourier transform due to end effects of the k-interval, we multiply the scar intensity in ( 16) by a function vanishing at the ends; typically a quadratic function [13]. The scar length spectrum still shows large fluctuations with very clear local average peaks at certain lengths.…”

Section: The Scar Function On the Boundarymentioning

confidence: 99%

Quantitative study of scars in the boundary section of the stadium billiard

1997

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“…In equation (2) we introduced the spin− 1 2 operators s x,y,z , anisotropy ∆, hopping amplitude J, the magnetic field h, and the integrability breaking parameter α, which is set to 0 except when otherwise specified. One of the crucial aspects of the Heisenberg model, which has a paramount effect on physical properties are the extensive conservation laws [67][68][69][70]. These conservation laws are extensive operators that commute with the Hamiltonian and have an overlap with physical local quantities.…”

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confidence: 99%

The isolated Heisenberg magnet as a quantum time crystal

Medenjak,

Buca,

Jaksch

2019

Preprint

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We demonstrate analytically and numerically that the paradigmatic model of quantum magnetism, the Heisenberg XXZ spin chain, does not relax to stationarity and hence constitutes a genuine time crystal that does not rely on external driving or coupling to an environment. We trace this phenomenon to the existence of extensive dynamical symmetries and find their frequency to be a no-where continuous (fractal) function of the anisotropy parameter of the chain. We discuss how the ensuing persistent oscillations that violate one of the most fundamental laws of physics could be observed experimentally and identify potential metrological applications.

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“…The flexural strength of the rings was determined by testing ring segments in three-point bending as described in Ref. [14]. The support span for all tests was set such that a 16:1 or greater span to depth ratio was maintained and the specimens were placed with the concave side down to reduce the effect of geometric nonlinearities [15].…”

Section: Mechanical Testingmentioning

confidence: 99%

Properties of Composite Cylinders Fabricated by Bladder Assisted Composite Manufacturing

Anderson¹,

Altan

2012

Journal of Engineering Materials and Technology

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An innovative manufacturing method, bladder assisted composite manufacturing (BACM), to fabricate geometrically complex, hollow parts made of polymeric composite materials is presented. Unlike the conventional bladder or diaphragm assisted curing processes, BACM uses an internally heated bladder to provide the consolidation pressure at the required cure temperature. The feasibility of this manufacturing method is demonstrated by fabricating laminated composite cylinders using multiple cure pressures and number of plies. The elastic moduli, failure strength, fiber volume fraction, and void contents of the cylinders were found to be comparable to the values obtained fi-om fiat laminates produced by hot plate molding of the same material. Compared to conventional bladder manufacturing methods, the BACM process reduced the energy required to cure the cylinders by almost 50% due to internal heating and insulatedmold.

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Dr. Prosen Replies

Cited by 9 publications

References 0 publications

Quantitative study of scars in the boundary section of the stadium billiard

Quantitative study of scars in the boundary section of the stadium billiard

The isolated Heisenberg magnet as a quantum time crystal

Properties of Composite Cylinders Fabricated by Bladder Assisted Composite Manufacturing

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