scholarly journals Quantum Gas of Deeply Bound Ground State Molecules

Science ◽  
2008 ◽  
Vol 321 (5892) ◽  
pp. 1062-1066 ◽  
Author(s):  
J. G. Danzl ◽  
E. Haller ◽  
M. Gustavsson ◽  
M. J. Mark ◽  
R. Hart ◽  
...  
Keyword(s):  
Ground State ◽  
Quantum Gas

scholarly journals Asymptotic Growth of the Local Ground-State Entropy of the Ideal Fermi Gas in a Constant Magnetic Field

2020 ◽  
Author(s):  
Hajo Leschke ◽  
Alexander V. Sobolev ◽  
Wolfgang Spitzer
Keyword(s):  
Magnetic Field ◽  
Ground State ◽  
Constant Magnetic Field ◽  
Chemical Potential ◽  
Fermi Gas ◽  
Von Neumann Entropy ◽  
Zero Field ◽  
Quantum Gas ◽  
Asymptotic Growth ◽  
The Ideal

AbstractWe consider the ideal Fermi gas of indistinguishable particles without spin but with electric charge, confined to a Euclidean plane $${{\mathbb {R}}}^2$$ R 2 perpendicular to an external constant magnetic field of strength $$B>0$$ B > 0 . We assume this (infinite) quantum gas to be in thermal equilibrium at zero temperature, that is, in its ground state with chemical potential $$\mu \ge B$$ μ ≥ B (in suitable physical units). For this (pure) state we define its local entropy $$S(\Lambda )$$ S ( Λ ) associated with a bounded (sub)region $$\Lambda \subset {{\mathbb {R}}}^2$$ Λ ⊂ R 2 as the von Neumann entropy of the (mixed) local substate obtained by reducing the infinite-area ground state to this region $$\Lambda $$ Λ of finite area $$|\Lambda |$$ | Λ | . In this setting we prove that the leading asymptotic growth of $$S(L\Lambda )$$ S ( L Λ ) , as the dimensionless scaling parameter $$L>0$$ L > 0 tends to infinity, has the form $$L\sqrt{B}|\partial \Lambda |$$ L B | ∂ Λ | up to a precisely given (positive multiplicative) coefficient which is independent of $$\Lambda $$ Λ and dependent on B and $$\mu $$ μ only through the integer part of $$(\mu /B-1)/2$$ ( μ / B - 1 ) / 2 . Here we have assumed the boundary curve $$\partial \Lambda $$ ∂ Λ of $$\Lambda $$ Λ to be sufficiently smooth which, in particular, ensures that its arc length $$|\partial \Lambda |$$ | ∂ Λ | is well-defined. This result is in agreement with a so-called area-law scaling (for two spatial dimensions). It contrasts the zero-field case $$B=0$$ B = 0 , where an additional logarithmic factor $$\ln (L)$$ ln ( L ) is known to be present. We also have a similar result, with a slightly more explicit coefficient, for the simpler situation where the underlying single-particle Hamiltonian, known as the Landau Hamiltonian, is restricted from its natural Hilbert space $$\text{ L}^2({{\mathbb {R}}}^2)$$ L 2 ( R 2 ) to the eigenspace of a single but arbitrary Landau level. Both results extend to the whole one-parameter family of quantum Rényi entropies. As opposed to the case $$B=0$$ B = 0 , the corresponding asymptotic coefficients depend on the Rényi index in a non-trivial way.

PRODUCTION OF A QUANTUM GAS OF ROVIBRONIC GROUND-STATE MOLECULES IN AN OPTICAL LATTICE

2010 ◽  
Author(s):  
JOHANN G. DANZL ◽  
MANFRED J. MARK ◽  
ELMAR HALLER ◽  
MATTIAS GUSTAVSSON ◽  
RUSSELL HART ◽  
...  
Keyword(s):  
Ground State ◽  
Optical Lattice ◽  
Quantum Gas

scholarly journals A new quantum gas apparatus for ultracold mixtures of K and Cs and KCs ground-state molecules

2016 ◽  
Vol 63 (18) ◽  
pp. 1829-1839 ◽  
Author(s):  
M. Gröbner ◽  
P. Weinmann ◽  
F. Meinert ◽  
K. Lauber ◽  
E. Kirilov ◽  
...  
Keyword(s):  
Ground State ◽  
Quantum Gas

Renilla Bioluminescence: A Morphologic Approach to the Location of Photocytes

1974 ◽  
Vol 32 ◽  
pp. 208-209
Author(s):  
Ben O. Spurlock ◽  
Milton J. Cormier
Keyword(s):  
Excited State ◽  
Ground State ◽  
Molecular Basis ◽  
Light Emission ◽  
Chemical Basis ◽  
Electronic Excited State ◽  
Colonial Form ◽  
The Common ◽  
Eighteenth And Nineteenth Centuries ◽  
Catalyzed Oxidation

The phenomenon of bioluminescence has fascinated layman and scientist alike for many centuries. During the eighteenth and nineteenth centuries a number of observations were reported on the physiology of bioluminescence in Renilla, the common sea pansy. More recently biochemists have directed their attention to the molecular basis of luminosity in this colonial form. These studies have centered primarily on defining the chemical basis for bioluminescence and its control. It is now established that bioluminescence in Renilla arises due to the luciferase-catalyzed oxidation of luciferin. This results in the creation of a product (oxyluciferin) in an electronic excited state. The transition of oxyluciferin from its excited state to the ground state leads to light emission.

The ground state energy of the ±J spin glass from the genetic algorithm

1994 ◽  
Vol 4 (9) ◽  
pp. 1281-1285 ◽  
Author(s):  
P. Sutton ◽  
D. L. Hunter ◽  
N. Jan
Keyword(s):  
Genetic Algorithm ◽  
Spin Glass ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy

Ground State and Excited State H-Atom Temperatures in a Microwave Plasma Diamond Deposition Reactor

1996 ◽  
Vol 6 (9) ◽  
pp. 1167-1180 ◽  
Author(s):  
A. Gicquel ◽  
M. Chenevier ◽  
Y. Breton ◽  
M. Petiau ◽  
J. P. Booth ◽  
...  
Keyword(s):  
Excited State ◽  
Ground State ◽  
Microwave Plasma ◽  
Diamond Deposition
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