Nonadiabatic geometric phase in a textured mesoscopic ring subject to a crown-like magnetic field

A homonuclear linear [Formula: see text] coupling spin cluster with the middle particle driven by an external time-dependent magnetic field is investigated by using the method of algebraic dynamics. The exact analytical solutions of the time-dependent Schrodinger equation of the spin cluster system are derived and employed to study the geometric phase. An alternative expression of the geometric phase in each eigenstate is obtained. It is shown that the geometric phase is related to the external magnetic-field parameter θ (the angle between the magnetic field and the Z axis) and the effective coupling strength Jn. Based on the relation, how the geometric phase depends on the coupling strength Jn in different reducible subspace is discussed.PACS Nos.: 33.20.Wr, 03.65.Fd, 03.65.Vf

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Geometric Phase of the Gyromotion for Charged Particles in a Time-dependent Magnetic Field

10.2172/1028186 ◽

2011 ◽

Author(s):

Jian Liu and Hong Qin

Keyword(s):

Magnetic Field ◽

Geometric Phase ◽

Charged Particles ◽

Time Dependent

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Geometric phase of the gyromotion for charged particles in a time-dependent magnetic field

Physics of Plasmas ◽

10.1063/1.3609830 ◽

2011 ◽

Vol 18 (7) ◽

pp. 072505 ◽

Cited By ~ 11

Author(s):

Jian Liu ◽

Hong Qin

Keyword(s):

Magnetic Field ◽

Geometric Phase ◽

Charged Particles ◽

Time Dependent

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GEOMETRIC PHASE IN THE CONDENSED VAPOR OF Rb UNDER PRESSURE AND EXTERNAL MAGNETIC FIELD

Modern Physics Letters B ◽

10.1142/s0217984910024249 ◽

2010 ◽

Vol 24 (17) ◽

pp. 1869-1875

Author(s):

ZHAO-XIAN YU ◽

ZHI-YONG JIAO ◽

XIANG-GUI LI

Keyword(s):

Magnetic Field ◽

Atomic Nucleus ◽

External Magnetic Field ◽

Invariant Theory ◽

Geometric Phase ◽

Time Dependent ◽

Coupling Constant ◽

External Time

By using the Lewis–Riesenfeld invariant theory, we have studied the geometric phase in the condensed vapor of Rb under pressure and external time-dependent magnetic field. We find that the geometric phase in the cycle case has nothing to do with the coupling constant between electron and atomic nucleus, and the external time-dependent magnetic field.

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THE EFFECT OF GATE ON PERSISTENT CURRENT IN MESOSCOPIC OPEN RING

International Journal of Modern Physics B ◽

10.1142/s0217979213610055 ◽

2013 ◽

Vol 27 (07) ◽

pp. 1361005

Author(s):

L. G. WANG ◽

Y. L. HUANG

Keyword(s):

Magnetic Field ◽

Potential Energy ◽

Fermi Energy ◽

Transport Current ◽

Persistent Current ◽

Quantum Waveguide ◽

Impurity Potential ◽

Open Ring ◽

Mesoscopic Ring ◽

The Right

The transport property of electrons in a mesoscopic ring with one arm subject to gate is investigated through the quantum waveguide theory. The persistent current is produced and controlled by tuning the strength of potential energy even in the absence of magnetic field. The persistent current can not only be observed if one tunes the Fermi energy nearing the antiresonance or the Fano resonance of the transport current in the weak strength of potential energy, but also can be detected at the resonance of the transport current in the strong strength of potential energy. An impurity is embedded in the right lead of the ring was also investigated and the large persistent current can be produced by varying the strength of the impurity potential and the length between the impurity and ring.

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