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Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B

Quantum mechanics as a consequence of the dipole interaction

Sergei P. Efimov

Published Jul 1, 1995• 0 citations
Publisher
DOI
10.1007/bf02820148

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Van der Waals interactions are interactions between dipoles. Similarly, quadrupole-quadrupole interactions are interactions between quadrupoles. In this article, we focus on the interactions between two dipoles or two quadrupoles. Classically, we treat one Rydberg atom as a dipole; an outer excited electron and an ion core are the two poles of a dipole. Quantum mechanically, we consider Rydberg transition dipoles. Therefore, dipole-dipole interactions are the interactions between two Rydberg atoms. Rydberg atoms have quadrupole components; consequently, the interactions between two Rydberg atoms have quadrupole-quadrupole interaction components. In this article, we examine the dipole-dipole and quadrupole-quadrupole contribution to the interactions between ultracold Rydberg atoms. It is shown that the evidence of quadrupole-blockade has been observed, which is essential for fabricating more compact quantum computers, quantum electronics, as well as quantum sensing.

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For a hvo electron hopping system we work the spin parts within the framework of quantum mechanics by taking the spin-flip operators as a part of the Hamiltonian. The system of two electrons hopping in a magnetic field with the dipole-dipole interaction each other and with a spin-flip perturbation is modelled. For the positive dipole-dipole interactions, we have derived a formula to determine the magnitude of the spin-flip operators. For free spin systems without the dipole-dipole interactions, we find also the solutions for the systems obeying the nowadays Pauli exclusion principle as recalled in this paper. When the spin-flips are tuned off mathematically, the system is not able to return back to usual no spin-flip case by possibly leaving with some residual effects or results in the wave function descriptions of the system. We find that these effects are even not satisfied by the so-called extended symmetrization principle as defined and proposed in this paper. This is a new consequence.

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Dipole blockade without dipole-dipole interaction

Chengjie Zhu, Wei Li, Yaping Yang +1 more

The dipole blockade phenomenon is a direct consequence of strong dipole-dipole interaction, where only single atom can be excited because the doubly excited state is shifted out of resonance. The corresponding two-body entanglement with non-zero concurrence induced by the dipole blockade effect is an important resource for quantum information processing. Here, we propose a novel physical mechanism for realizing dipole blockade without the dipole-dipole interaction, where two qubits coupled to a cavity, are driven by a coherent field. By suitably chosen placements of the qubits in the cavity and by adjusting the relative decay strengths of the qubits and cavity field, we kill many unwanted excitation pathways. This leads to dipole blockade. In addition, we show that these two qubits are strongly entangled over a broad regime of the system parameters. We show that a strong signature of this dipole blockade is the bunching property of the cavity photons which thus provides a possible measurement of the dipole blockade. We present dynamical features of the dipole blockade without dipole-dipole interaction. The proposal presented in this work can be realized not only in traditional cavity QED, but also in non-cavity topological photonics involving edge modes.

arXiv:2106.11268•Jun 21, 2021•1 citation

The Phenomena of Quantum Mechanics

WORLD SCIENTIFIC eBooks•Mar 1, 1998•0 citations
Van der Waals interactions are interactions between dipoles. Similarly, quadrupole-quadrupole interactions are interactions between quadrupoles. In this article, we focus on the interactions between two dipoles or two quadrupoles. Classically, we treat one Rydberg atom as a dipole; an outer excited electron and an ion core are the two poles of a dipole. Quantum mechanically, we consider Rydberg transition dipoles. Therefore, dipole-dipole interactions are the interactions between two Rydberg atoms. Rydberg atoms have quadrupole components; consequently, the interactions between two Rydberg atoms have quadrupole-quadrupole interaction components. In this article, we examine the dipole-dipole and quadrupole-quadrupole contribution to the interactions between ultracold Rydberg atoms. It is shown that the evidence of quadrupole-blockade has been observed, which is essential for fabricating more compact quantum computers, quantum electronics, as well as quantum sensing.
For a hvo electron hopping system we work the spin parts within the framework of quantum mechanics by taking the spin-flip operators as a part of the Hamiltonian. The system of two electrons hopping in a magnetic field with the dipole-dipole interaction each other and with a spin-flip perturbation is modelled. For the positive dipole-dipole interactions, we have derived a formula to determine the magnitude of the spin-flip operators. For free spin systems without the dipole-dipole interactions, we find also the solutions for the systems obeying the nowadays Pauli exclusion principle as recalled in this paper. When the spin-flips are tuned off mathematically, the system is not able to return back to usual no spin-flip case by possibly leaving with some residual effects or results in the wave function descriptions of the system. We find that these effects are even not satisfied by the so-called extended symmetrization principle as defined and proposed in this paper. This is a new consequence.
The dipole blockade phenomenon is a direct consequence of strong dipole-dipole interaction, where only single atom can be excited because the doubly excited state is shifted out of resonance. The corresponding two-body entanglement with non-zero concurrence induced by the dipole blockade effect is an important resource for quantum information processing. Here, we propose a novel physical mechanism for realizing dipole blockade without the dipole-dipole interaction, where two qubits coupled to a cavity, are driven by a coherent field. By suitably chosen placements of the qubits in the cavity and by adjusting the relative decay strengths of the qubits and cavity field, we kill many unwanted excitation pathways. This leads to dipole blockade. In addition, we show that these two qubits are strongly entangled over a broad regime of the system parameters. We show that a strong signature of this dipole blockade is the bunching property of the cavity photons which thus provides a possible measurement of the dipole blockade. We present dynamical features of the dipole blockade without dipole-dipole interaction. The proposal presented in this work can be realized not only in traditional cavity QED, but also in non-cavity topological photonics involving edge modes.