1,363 research outputs found
The Black Hole Quantum Entropy and Its Minimal Value
In the paper it is demonstrated that the Schwarzschild black-hole quantum
entropy computed within the scope of the Generalized Uncertainty Principle has
a nonzero minimum under the assumption that for a radius of the black hole the
lower limit is placed, whose value is twice the minimal length. Such a limit is
quite natural when using, as a proper deformation parameter in a quantum theory
with a minimal length, the dimensionless small parameter introduced previously
by one of the authors in co-authorship with his colleagues and caused by
modification of the density matrix at Planck scales. The results obtained have
been compared to the results of other authors and analyzed from the viewpoint
of their compatibility with the well-known facts and the holographic principle
in particular.Comment: 11 pages 2 figure
The Universe as a Nonuniform Lattice in the Finite-Dimensional Hypercube II.Simple Cases of Symmetry Breakdown and Restoration
This paper continues a study of field theories specified for the nonuniform
lattice in the finite-dimensional hypercube with the use of the earlier
described deformation parameters. The paper is devoted to spontaneous breakdown
and restoration of symmetry in simple quantum-field theories with scalar
fields. It is demonstrated that an appropriate deformation opens up new
possibilities for symmetry breakdown and restoration. To illustrate, at low
energies it offers high-accuracy reproducibility of the same results as with a
nondeformed theory. In case of transition from low to higher energies and vice
versa it gives description for new types of symmetry breakdown and restoration
depending on the rate of the deformation parameter variation in time, and
indicates the critical points of the previously described lattice associated
with a symmetry restoration. Besides, such a deformation enables one to find
important constraints on the initial model parameters having an explicit
physical meaning.Comment: 9 pages,Revte
Pure States, Mixed States and Hawking Problem in Generalized Quantum Mechanics
This paper is the continuation of a study into the information paradox
problem started by the author in his earlier works. As previously, the key
instrument is a deformed density matrix in quantum mechanics of the early
universe. It is assumed that the latter represents quantum mechanics with
fundamental length. It is demonstrated that the obtained results agree well
with the canonical viewpoint that in the processes involving black holes pure
states go to the mixed ones in the assumption that all measurements are
performed by the observer in a well-known quantum mechanics. Also it is shown
that high entropy for Planck remnants of black holes appearing in the
assumption of the Generalized Uncertainty Relations may be explained within the
scope of the density matrix entropy introduced by the author previously. It is
noted that the suggested paradigm is consistent with the Holographic Principle.
Because of this, a conjecture is made about the possibility for obtaining the
Generalized Uncertainty Relations from the covariant entropy bound at high
energies in the same way as R. Bousso has derived Heisenberg uncertainty
principle for the flat space.Comment: 12 pages,no figures,some corrections,new reference
Non-ergodic Intensity Correlation Functions for Blinking Nano Crystals
We investigate the non-ergodic properties of blinking nano-crystals using a
stochastic approach. We calculate the distribution functions of the time
averaged intensity correlation function and show that these distributions are
not delta peaked on the ensemble average correlation function values; instead
they are W or U shaped. Beyond blinking nano-crystals our results describe
non-ergodicity in systems stochastically modeled using the Levy walk framework
for anomalous diffusion, for example certain types of chaotic dynamics,
currents in ion-channel, and single spin dynamics to name a few.Comment: 5 pages, 3 figure
EMPOWERMENT, INNOVATION, AND SERVICE: LAW SCHOOL PROGRAMS PROVIDE ACCESS TO JUSTICE AND INSTILL A COMMITMENT TO SERVE
Law schools around the country seek to fill the legal needs of their communities in ways that are both innovative and mutually beneficial to clients and students. This article describes five pro bono and clinical programs, at the University of Richmond School of Law, The Earle Mack School of Law at Drexel University, Catholic University Columbus School of Law, the Thomas Jefferson School of Law, and Vermont Law School, where law students, under the supervision of law professors or community professionals, provide assistance or legal representation to underserved and often marginalized populations needing help with family law problems, including parents accused of abuse and neglect, youth aging out of foster care, homeless families, survivors of domestic violence, homeless veterans with addiction problems, and female prisoners. To develop their programs, the five law schools from the outset collaborated with partners in the community, and they continue to do so as their programs expand and evolve. In addition to helping and empowering clients, these law schools are providing experiential learning opportunities that are transformative for their students. The authors hope that these programs will be instructive for law schools, other academic institutions, the legal community, and community organizations in developing creative collaborations to ensure better access to justice
Chow's theorem and universal holonomic quantum computation
A theorem from control theory relating the Lie algebra generated by vector
fields on a manifold to the controllability of the dynamical system is shown to
apply to Holonomic Quantum Computation. Conditions for deriving the holonomy
algebra are presented by taking covariant derivatives of the curvature
associated to a non-Abelian gauge connection. When applied to the Optical
Holonomic Computer, these conditions determine that the holonomy group of the
two-qubit interaction model contains . In particular, a
universal two-qubit logic gate is attainable for this model.Comment: 13 page
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