scholarly journals Observation of Laughlin states made of light

Nature ◽  
2020 ◽  
Vol 582 (7810) ◽  
pp. 41-45 ◽  
Author(s):  
Logan W. Clark ◽  
Nathan Schine ◽  
Claire Baum ◽  
Ningyuan Jia ◽  
Jonathan Simon
Keyword(s):  
Laughlin States

scholarly journals LAUGHLIN STATES ON THE SPHERE AS REPRESENTATIONS OF ${\mathcal U}_q({\rm sl}2))$

1995 ◽  
Vol 10 (11) ◽  
pp. 853-858 ◽  
Author(s):  
NARUHIKO AIZAWA ◽  
SEBASTIAN SACHSE ◽  
HARU-TADA SATO
Keyword(s):  
Deformation Parameter ◽  
Magnetic Monopole ◽  
Filling Ratio ◽  
Algebraic Structures ◽  
Laughlin States

We discuss quantum algebraic structures of the systems of electrons or quasiparticles on a sphere on whose center a magnetic monopole is located. We verify that the deformation parameter is related to the filling ratio of the particles in each case.

scholarly journals Thermometry for Laughlin States of Ultracold Atoms

2017 ◽  
Vol 118 (11) ◽  
Author(s):  
P. T. Raum ◽  
V. W. Scarola
Keyword(s):  
Ultracold Atoms ◽  
Laughlin States

Laughlin states in higher Landau levels

1984 ◽  
Vol 30 (6) ◽  
pp. 3550-3553 ◽  
Author(s):  
A. H. MacDonald
Keyword(s):  
Landau Levels ◽  
Laughlin States

scholarly journals SLATER DECOMPOSITION OF LAUGHLIN STATES

1993 ◽  
Vol 07 (28) ◽  
pp. 4783-4813 ◽  
Author(s):  
GERALD V. DUNNE
Keyword(s):  
Density Operator ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Expectation Values ◽  
Filling Fraction ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Laughlin States ◽  
Expansion Coefficients ◽  
Slater Basis

The second-quantized form of the Laughlin states for the fractional quantum Hall effect is discussed by decomposing the Laughlin wavefunctions into the N-particle Slater basis. A general formula is given for the expansion coefficients in terms of the characters of the symmetric group, and the expansion coefficients are shown to possess numerous interesting symmetries. For expectation values of the density operator it is possible to identify individual dominant Slater states of the correct uniform bulk density and filling fraction in the physically relevant N→∞ limit.

scholarly journals Entanglement Entropy in Fermionic Laughlin States

2007 ◽  
Vol 98 (6) ◽  
Author(s):  
Masudul Haque ◽  
Oleksandr Zozulya ◽  
Kareljan Schoutens
Keyword(s):  
Entanglement Entropy ◽  
Laughlin States
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