scholarly journals A proof of the Biswas–Mitra–Bhattacharyya conjecture for the ideal quantum gas trapped under the generic power law potential $U=\sum\nolimits_{i=1}^{d}{{c}_{i}}\left\vert \frac{{{x}_{i}}}{{{a}_{i}}}\right\vert^{{{n}_{i}}}$ inddimensions

2016 ◽  
Vol 2016 (3) ◽  
pp. 033117 ◽  
Author(s):  
Mir Mehedi Faruk ◽  
Md Muktadir Rahman
Keyword(s):  
Power Law ◽  
Quantum Gas ◽  
Ideal Quantum ◽  
The Ideal

scholarly journals A kinetic beam scheme for ideal quantum gas dynamics

2006 ◽  
Vol 462 (2069) ◽  
pp. 1553-1572 ◽  
Author(s):  
Jaw-Yen Yang ◽  
Yu-Hsin Shi
Keyword(s):  
Excited States ◽  
Gas Dynamics ◽  
Local Thermodynamic Equilibrium ◽  
Spatial Dimension ◽  
Quantum Gas ◽  
Quantum Distribution ◽  
Spatial Dimensions ◽  
Ideal Quantum ◽  
Bose Einstein ◽  
The Ideal

A novel kinetic beam scheme for the ideal quantum gas is presented for the computation of quantum gas dynamical flows. The quantum Boltzmann equation approach is adopted and the local thermodynamic equilibrium quantum distribution is assumed. Both Bose–Einstein and Fermi–Dirac gases are considered. Formulae for one spatial dimension is first derived and the resulting beam scheme is tested for shock tube flows. Implementation of high-order methods is also outlined. We only consider the system in the normal phase consisting of particles in excited states and both the classical limit and the nearly degenerate limit are computed. The flow structures can all be accurately captured by the present beam scheme. Formulations for multiple spatial dimensions are also included.

The Ideal Quantum Gas

2001 ◽  
pp. 141-159
Author(s):  
Ragnar Ekholm ◽  
Leonard D. Kohn ◽  
Seymour H. Wollman
Keyword(s):  
Quantum Gas ◽  
Ideal Quantum ◽  
The Ideal

Optical demonstrations of statistical decision theory for quantum systems

2004 ◽  
Vol 4 (6&7) ◽  
pp. 450-459
Author(s):  
S.M. Barnett
Keyword(s):  
Information Theory ◽  
Communication Systems ◽  
Quantum Information Theory ◽  
Quantum Systems ◽  
Quantum Limit ◽  
Statistical Decision Theory ◽  
Statistical Decision ◽  
Ideal Quantum ◽  
Optical Polarisation ◽  
The Ideal

The work of Holevo and other pioneers of quantum information theory has given us limits on the performance of communication systems. Only recently, however, have we been able to perform laboratory demonstrations approaching the ideal quantum limit. This article presents some of the known limits and bounds together with the results of our experiments based on optical polarisation.

The Effects of Geometry and Inertia on Face Seal Performance—Turbulent Flow

1968 ◽  
Vol 90 (2) ◽  
pp. 342-350 ◽  
Author(s):  
H. J. Sneck
Keyword(s):  
Laminar Flow ◽  
Turbulent Flow ◽  
Velocity Distribution ◽  
Power Law ◽  
Apparent Viscosity ◽  
Lubrication Theory ◽  
Inertial Effects ◽  
Face Seal ◽  
Geometric Deviations ◽  
The Ideal

The “short bearing” equation of lubrication theory, modified to include the inertial effects, is used to study the influence of geometric deviations from the ideal. The turbulent nature of the flow is described by an isotropic apparent viscosity and a power-law velocity distribution. It is found that geometric deviations from the ideal are less influential than in laminar flow.

scholarly journals Adiabatic Swimming in an Ideal Quantum Gas

2006 ◽  
Vol 96 (13) ◽  
Author(s):  
J. E. Avron ◽  
B. Gutkin ◽  
D. H. Oaknin
Keyword(s):  
Quantum Gas ◽  
Ideal Quantum

IDEAL QUANTUM READING OF OPTICAL MEMORIES

2012 ◽  
Vol 10 (08) ◽  
pp. 1241010 ◽  
Author(s):  
MICHELE DALL'ARNO ◽  
ALESSANDRO BISIO ◽  
GIACOMO MAURO D'ARIANO
Keyword(s):  
Optical Memory ◽  
Optimal Strategies ◽  
High Accuracy ◽  
Classical Information ◽  
Minimal Error ◽  
Quantum Properties ◽  
Optical Memories ◽  
Ideal Quantum ◽  
Perfect Discrimination ◽  
The Ideal

Quantum reading is the art of exploiting the quantum properties of light to retrieve classical information stored in an optical memory with low energy and high accuracy. Focusing on the ideal scenario where noise and loss are negligible, we review previous works on the optimal strategies for minimal-error retrieving of information (ambiguous quantum reading) and perfect but probabilistic retrieving of information (unambiguous quantum reading). The optimal strategies largely overcome the optimal coherent protocols (reminiscent of common CD readers), further allowing for perfect discrimination. Experimental proposals for optical implementations of optimal quantum reading are provided.

scholarly journals Thermodynamics of ideal quantum gas with fractional statistics inDdimensions

2007 ◽  
Vol 75 (6) ◽  
Author(s):  
Geoffrey G. Potter ◽  
Gerhard Müller ◽  
Michael Karbach
Keyword(s):  
Quantum Gas ◽  
Fractional Statistics ◽  
Ideal Quantum
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