scholarly journals Entanglement in noncritical inhomogeneous quantum chains

2021 ◽  
Vol 104 (19) ◽  
Author(s):  
Nadir Samos Sáenz de Buruaga ◽  
Silvia N. Santalla ◽  
Javier Rodríguez-Laguna ◽  
Germán Sierra
Keyword(s):  
Inhomogeneous Quantum

QUANTUM REFLECTION, EVAPORATION, AND TRANSPORT CURRENTS AT 4He SURFACES

2006 ◽  
Vol 20 (30n31) ◽  
pp. 5047-5056
Author(s):  
V. APAJA ◽  
E. KROTSCHECK ◽  
A. RIMNAC ◽  
R. E. ZILLICH
Keyword(s):  
Excited States ◽  
Theoretical Study ◽  
Transport Phenomena ◽  
Microscopic Theory ◽  
Second Order ◽  
Quantum Liquid ◽  
Quantum Reflection ◽  
Quantum Liquids ◽  
Inhomogeneous Quantum

In this work, we study transport currents in excited states. This requires the calculation of particle currents [Formula: see text] to second order in the excitation amplitudes. For that purpose, we take a well-tested microscopic theory of inhomogeneous quantum liquids and extend it to find the mass currents created when atoms scatter off a surface or when excitations evaporate atoms. This is the first theoretical study of transport phenomena in a quantum liquid based on a quantitative microscopic theory.

Quantum Homomorphisms of Associative Algebras

1997 ◽  
Vol 12 (38) ◽  
pp. 2963-2974
Author(s):  
A. E. F. Djemai
Keyword(s):  
Quantum Group ◽  
Associative Algebra ◽  
Associative Algebras ◽  
Type Formula ◽  
Algebra Of Functions ◽  
Inhomogeneous Quantum

Given an associative algebra A generated by {ek, k=1, 2,…} and with an internal law of type: [Formula: see text], we first show that it is possible to construct a quantum bi-algebra [Formula: see text] with unit and generated by (non-necessarily commutative) elements [Formula: see text] satisfying the relations: [Formula: see text]. This leads one to define a quantum homomorphism[Formula: see text]. We then treat the example of the algebra of functions on a set of N elements and we show, for the case N=2, that the resulting bihyphen;algebra is an inhomogeneous quantum group. We think that this method can be used to construct quantum inhomogeneous groups.

Novel Electronic Structure of Inhomogeneous Quantum Wires on a Si Surface

2004 ◽  
Vol 92 (9) ◽  
Author(s):  
H. S. Yoon ◽  
S. J. Park ◽  
J. E. Lee ◽  
C. N. Whang ◽  
I.-W. Lyo
Keyword(s):  
Electronic Structure ◽  
Quantum Wires ◽  
Inhomogeneous Quantum

scholarly journals A New Inflationary Universe Scenario with Inhomogeneous Quantum Vacuum

2018 ◽  
Vol 2018 ◽  
pp. 1-15
Author(s):  
Yilin Chen ◽  
Jin Wang
Keyword(s):  
Green’S Function ◽  
Potential Barrier ◽  
Green's Function ◽  
Inflationary Universe ◽  
Quantum Vacuum ◽  
Vacuum Fluctuations ◽  
Inflationary Scenario ◽  
Slowing Down ◽  
The Universe ◽  
Inhomogeneous Quantum

We investigate the quantum vacuum and find that the fluctuations can lead to the inhomogeneous quantum vacuum. We find that the vacuum fluctuations can significantly influence the cosmological inhomogeneity, which is different from what was previously expected. By introducing the modified Green’s function, we reach a new inflationary scenario which can explain why the Universe is still expanding without slowing down. We also calculate the tunneling amplitude of the Universe based on the inhomogeneous vacuum. We find that the inhomogeneity can lead to the penetration of the Universe over the potential barrier faster than previously thought.

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