In this paper, we propose the quantized spin Hall effect (SHE) in the vortex state of a rotating p-wave paired Fermi system in an inhomogeneous magnetic field and in a weak periodic potential. It is the three-dimensional extension of the spin Hall effect for a $^{3}\text{H}\text{e}$ -A superfluid film previously studied in the literature. It may also be considered as a generalization of the three-dimensional quantized charge Hall effect of Bloch electrons in the work previously studied in the literature to the spin transport. The A phase of $^{3}\text{H}\text{e}$ or, more generally, the p-wave paired phase of a cold Fermi atomic gas under suitable conditions should be a good candidate to observe the SHE because the system has a conserved spin current (with no spin-orbit couplings).In this paper, we propose the quantized spin Hall effect (SHE) in the vortex state of a rotating p-wave paired Fermi system in an inhomogeneous magnetic field and in a weak periodic potential. It is the three-dimensional extension of the spin Hall effect for a $^{3}\text{H}\text{e}$-A superfluid film previously studied in the literature. It may also be considered as a generalization of the three-dimensional quantized charge Hall effect of Bloch electrons in the work previously studied in the literature to the spin transport. The A phase of $^{3}\text{H}\text{e}$ or, more generally, the p-wave paired phase of a cold Fermi atomic gas under suitable conditions should be a good candidate to observe the SHE because the system has a conserved spin current (with no spin-orbit couplings).

arXiv:cond-mat/0612005Physical Review BApr 2, 20083 citations

Quantum deviation of an atom at coherent scattering

Andrew I. Trubilko

Effects of quantum deviation of a two-level atom at coherent scattering on an inhomogeneous optical potential created by crossed electromagnetic fields are considered. The region of interaction is formed by a lowfrequency quantized standing wave from a micromaser and a coherent traveling optical wave generated by an optical fiber located inside a cavity. The atom interacts with both fields under the conditions of two-photon two-wave resonance. It is shown that two effects of quantum deviation of translational motion of the atom can be observed. Interaction with the standing wave is caused under these conditions by a harmonic potential the character of scattering of the atom on which depends significantly on the initial conditions of preparation of the atom and quantized mode. The other effect—deviation of the atom by the classical traveling wave—is also completely quantum mechanical under these conditions and is produced by the noncommutative contribution of the kinetic energy operator of the atom and the interaction energy.Effects of quantum deviation of a two-level atom at coherent scattering on an inhomogeneous optical potential created by crossed electromagnetic fields are considered. The region of interaction is formed by a lowfrequency quantized standing wave from a micromaser and a coherent traveling optical wave generated by an optical fiber located inside a cavity. The atom interacts with both fields under the conditions of two-photon two-wave resonance. It is shown that two effects of quantum deviation of translational motion of the atom can be observed. Interaction with the standing wave is caused under these conditions by a harmonic potential the character of scattering of the atom on which depends significantly on the initial conditions of preparation of the atom and quantized mode. The other effect—deviation of the atom by the classical traveling wave—is also completely quantum mechanical under these conditions and is produced by the noncommutative contribution of the kinetic energy operator of the atom and the interaction energy.

Journal of Experimental and Theoretical Physics LettersMay 1, 20175 citations

On the quantization of wave fields

L. Rosenfeld

The European Physical Journal HJan 7, 201723 citations

OBSERVATION OF THE TRANSVERSE STERN–GERLACH EFFECT IN NEUTRAL POTASSIUM

Myer Bloom, Eric Enga, Hin Lew

A successful transverse Stern–Gerlach experiment has been performed, using a beam of neutral potassium atoms and an inhomogeneous time-dependent magnetic field of the form[Formula: see text]A classical analysis of the Stern–Gerlach experiment is given for a rotating inhomogeneous magnetic field. In general, when space quantization is achieved, the spins are quantized along the effective magnetic field in the reference frame rotating with angular velocity ω about the z axis. For ω = 0, the direction of quantization is the z axis (conventional Stern–Gerlach experiment), while at resonance (ω = −γH 0 ) the direction of quantization is the x axis in the rotating reference frame (transverse Stern–Gerlach experiment). The experiment, which was performed at 7.2 Mc, is described in detail.A successful transverse Stern–Gerlach experiment has been performed, using a beam of neutral potassium atoms and an inhomogeneous time-dependent magnetic field of the form[Formula: see text]A classical analysis of the Stern–Gerlach experiment is given for a rotating inhomogeneous magnetic field. In general, when space quantization is achieved, the spins are quantized along the effective magnetic field in the reference frame rotating with angular velocity ω about the z axis. For ω = 0, the direction of quantization is the z axis (conventional Stern–Gerlach experiment), while at resonance (ω = −γH 0 ) the direction of quantization is the x axis in the rotating reference frame (transverse Stern–Gerlach experiment). The experiment, which was performed at 7.2 Mc, is described in detail.

Canadian Journal of PhysicsApr 1, 196726 citations

Quantization of the Wave Function

Eduardo V. Flores

Annals of the New York Academy of SciencesApr 1, 19950 citations

^{3}\text{H}\text{e}

-A superfluid film previously studied in the literature. It may also be considered as a generalization of the three-dimensional quantized charge Hall effect of Bloch electrons in the work previously studied in the literature to the spin transport. The A phase of

^{3}\text{H}\text{e}

or, more generally, the p-wave paired phase of a cold Fermi atomic gas under suitable conditions should be a good candidate to observe the SHE because the system has a conserved spin current (with no spin-orbit couplings).