RELATIVISTIC LANDAU–AHARONOV–CASHER QUANTIZATION IN TOPOLOGICAL DEFECT SPACE–TIME

2010 ◽  
Vol 19 (01) ◽  
pp. 85-96 ◽  
Author(s):  
K. BAKKE ◽  
C. FURTADO
Keyword(s):  
Dipole Moment ◽  
Electric Field ◽  
Magnetic Dipole Moment ◽  
Neutral Particle ◽  
Topological Defect ◽  
Nonrelativistic Limit ◽  
Space Time ◽  
Landau Levels ◽  
Relativistic Dynamics ◽  
Curved Space

In this paper we study the Landau levels arising within the relativistic dynamics of a neutral particle which possesses a permanent magnetic dipole moment interacting with an external electric field in the curved space–time background with the presence of a torsion field. We use the Aharonov–Casher effect to couple this neutral particle with the electric field in this curved background. The eigenfunction and eigenvalues of the Hamiltonian are obtained. We show that the presence of the topological defect breaks the infinite degeneracy of the relativistic Landau levels arising in this system. We study the nonrelativistic limit of the eigenvalues and compare these results with cases studied earlier.

LANDAU QUANTIZATION FOR A NEUTRAL PARTICLE IN THE PRESENCE OF TOPOLOGICAL DEFECTS

2012 ◽  
Vol 18 ◽  
pp. 101-104
Author(s):  
L. R. RIBEIRO ◽  
K. BAKKE ◽  
C. FURTADO
Keyword(s):  
Dipole Moment ◽  
Electric Field ◽  
Quantum Dynamics ◽  
Magnetic Dipole Moment ◽  
Short Communication ◽  
Neutral Particle ◽  
Topological Defect ◽  
Relativistic Quantum ◽  
Topological Defects ◽  
Landau Levels

In this short communication, we study the Landau levels in the non-relativistic quantum dynamics of a neutral particle which possesses a permanent magnetic dipole moment interacting with an external electric field in curved spacetime background with the presence or absence of a torsion field. We show that the presence of the topological defect breaks the infinite degeneracy of the Landau levels.

HQC with the AC setup associated with topological defects

2011 ◽  
Vol 11 (5&6) ◽  
pp. 444-455
Author(s):  
Knut Bakke ◽  
Cláudio Furtado
Keyword(s):  
Dipole Moment ◽  
Electric Field ◽  
Magnetic Dipole ◽  
Magnetic Dipole Moment ◽  
Topological Defect ◽  
Dipole Moments ◽  
Topological Defects ◽  
Quantum Phases ◽  
Neutral Particles ◽  
New Formulation

In this work, we propose a new formulation allowing to realize the holonomic quantum computation with neutral particles with a permanent magnetic dipole moments interacting with an external electric field in the presence of a topological defect. We show that both the interaction of the electric field with the magnetic dipole moment and the presence of topological defect generate independent contributions to the geometric quantum phases which can be used to describe any arbitrary rotation on the magnetic dipole moment without using the adiabatic approximation.

Particle Immobilization Stiffness in Dielectrophoresis Trap Depending on the Geometry

2020 ◽  
Author(s):  
Mohammad Rizwen Ur Rahman ◽  
Tae Joon Kwak ◽  
Jörg C. Woehl ◽  
Woo-Jin Chang
Keyword(s):  
Dipole Moment ◽  
Electric Field ◽  
Single Particle ◽  
Charge Separation ◽  
Trajectory Analysis ◽  
Neutral Particle ◽  
Trapping Efficiency ◽  
Uniform Electric Field ◽  
Partial Charge ◽  
Translational Movement

Abstract In dielectrophoresis, a neutral particle experiences a partial charge separation, i.e. induced net dipole moment, when exposed to a non-uniform electric field, and this leads translational movement of the particle. This induced attractive or repulsive motion of the particle suspended in a fluid is known as dielectrophoresis (DEP). In this paper, we have characterized the strength of DEP traps depending on geometry. Three different micro-trap geometries, i.e. triangle, square and circle, were tested to characterize the effect of trap shape on trap stiffness experimentally and numerically using single particle immobilized in the trap. The maximum DEP force generated in triangular μ-trap was found largest among tested geometries. The maximum DEP force of square and circular trap was found around 68.4% and 79.1% of triangular μ-trap, respectively. The trajectory analysis using trapped single particle revealed that the stiffness of circular μ-trap is 1.23 and 1.34 times stronger than the triangular and square μ-trap, respectively. These results will provide useful information in DEP trap geometry designing to enhance trapping efficiency.

Entanglement generation due to the background electric field and curvature of space–time

2015 ◽  
Vol 30 (07) ◽  
pp. 1550031 ◽  
Author(s):  
Zahra Ebadi ◽  
Behrouz Mirza
Keyword(s):  
Electric Field ◽  
Constant Electric Field ◽  
Entanglement Entropy ◽  
Space Time ◽  
Quantum Vacuum ◽  
De Sitter ◽  
Entanglement Generation ◽  
Curved Space ◽  
Scalar Particles ◽  
Vacuum Instability

In Schwinger effect, quantum vacuum instability under the influence of an electric field leads to decay of vacuum into pairs of charged particles. We consider the entanglement of pair produced particles. We will show that the measure of entanglement depends on the geometry of space–time. Using the Schwinger pair production in curved space–time, dS2 and AdS2, we propose and demonstrate that the electric field can generate entanglement. In dS2 space–time, we study entanglement for scalar particles with zero spin in the absence and presence of a constant electric field. We show that the entanglement entropy depends on the choice of the α-vacua. But, for some values of the related parameters (mass, charge, scalar curvature, electric field), the entanglement entropy is independent of α. Also, we consider the generation of entanglement in the presence of a constant electric field for anti-de Sitter space–time. We will show that the positive (negative) curvature of space–time upgrades (degrades) the generated entanglement.

scholarly journals SCALAR–SCALAR BOUND STATE IN NONCOMMUTATIVE SPACE

2001 ◽  
Vol 16 (22) ◽  
pp. 1435-1438 ◽  
Author(s):  
M. HAGHIGHAT ◽  
F. LORAN
Keyword(s):  
Dipole Moment ◽  
Magnetic Dipole ◽  
Magnetic Dipole Moment ◽  
Bound State ◽  
Nonrelativistic Limit ◽  
Noncommutative Space ◽  
As If

Bethe–Salpeter equation in the noncommutative space for a scalar–scalar bound state is considered. It is shown that in the nonrelativistic limit, the effect of spatial noncommutativity appears as if there exists a magnetic dipole moment coupled to each particle.

Magnetization of disclinated graphene in nonuniform magnetic field

2017 ◽  
Vol 31 (04) ◽  
pp. 1750013 ◽  
Author(s):  
M. Roshanzamir-Nikou ◽  
H. Goudarzi
Keyword(s):  
Magnetic Field ◽  
Topological Defect ◽  
Energy Levels ◽  
Persistent Current ◽  
Landau Levels ◽  
Nonuniform Magnetic Field ◽  
Explicit Dependence ◽  
Curved Space ◽  
Aharonov Bohm ◽  
Physical Quantities

Two-dimensional disclinated atomic graphene layer in curved space–time is exactly discussed, and the explicit dependence of Landau levels on the topological defect and external magnetic field are obtained in the presence of nonuniform magnetic field. It is worth mentioning that the presence of topological defect reduces the degeneracy of energy levels. The persistent current, magnetization, susceptibility and the magnetoresistance of structure are investigated. It can be shown that the curvature of the conical surface affects the pattern of oscillations of persistent current and, of course, corresponding magnetoresistance. The behavior of the above physical quantities as a function of magnetic flux is explicitly found for various defects. We observe that increasing magnetic field leads to a aperiodic oscillation. The large Aharonov–Bohm flux gives rise to vanish the magnetization oscillations.

Semiclassical treatment of an attractive inverse-square potential in an elastic medium with a disclination

2020 ◽  
Vol 17 (12) ◽  
pp. 2050178
Author(s):  
K. Bakke ◽  
C. Furtado
Keyword(s):  
Dipole Moment ◽  
Electric Field ◽  
Elastic Medium ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
Bound States ◽  
Neutral Particle ◽  
Point Of View ◽  
Centrifugal Term ◽  
Radial Equation

We analyze the interaction of the induced electric dipole moment of a neutral particle with an electric field in elastic medium with a charged disclination from a semiclassical point of view. We show that the interaction of the induced electric dipole moment of a neutral particle with an electric field can yield an attractive inverse-square potential, where it is influenced by the topology of the disclination. Then, by using the Wentzel, Kramers and Brillouin approximation based on the Langer transformation, we show that the centrifugal term of the radial equation must be modified due to the influence of the topology of the disclination. Besides, we obtain the bound states solutions to the Schrödinger equation.

scholarly journals HOLOGRAPHIC SPACE–TIME AND ITS PHENOMENOLOGICAL IMPLICATIONS

2010 ◽  
Vol 25 (26) ◽  
pp. 4875-4887 ◽  
Author(s):  
T. BANKS
Keyword(s):  
Dark Matter ◽  
Dipole Moment ◽  
Cosmological Constant ◽  
Magnetic Dipole Moment ◽  
Space Time ◽  
Susy Breaking ◽  
Gauge Mediation ◽  
Cosmological Constant Problem ◽  
Hidden Sector ◽  
Unique Model

I briefly review the theory of holographic space–time and its relation to the cosmological constant problem, and the breaking of supersymmetry (SUSY). When combined with some simple phenomenological requirements, these ideas lead to a fairly unique model for Tera-scale physics, which implies direct gauge mediation of SUSY breaking and a model for dark matter as a hidden sector baryon, with nonzero magnetic dipole moment.

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