Some effects on quantum systems due to the gravitational field of a topological defect

Marques, Geusa de A.; Bezerra, V. B.

doi:10.1590/s0103-97332005000700021

Cited by 3 publications

(2 citation statements)

References 8 publications

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“…The so-called Schroedinger-Newton equation, involving nonlinear and non-local gravitational contributions, has been discussed by Bahrami et al [5], while Gallegos and Matos [6] have written the Klein-Gordon equation in an arbitrary spacetime, subsequently transforming it into a generalized Schroedinger equation. Marques and Bezerra [7] have studied the effects on quantum systems due to the gravitational field of a topological defect. Last but not least, mesoscopic quantum systems in presence of gravitational fields have been extensively investigated by Kiefer and Weber [8] and by Gallerati et al [9], while the influence of a weak gravitational wave on the Josephson effect has been considered in [10].…”

Section: Introductionmentioning

confidence: 99%

Jaynes–Cummings model in a weak gravitational wave background

Sorge

2023

Class. Quantum Grav.

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Working in the framework of the linearized theory, we analyze the influence of a weak gravitational wave on the dynamics of the Jaynes–Cummings model, describing the interaction between a two-level quantum system and the electromagnetic field in a cavity. We show that the gravitational wave induces a small, time-dependent modulation in the generalized Rabi frequency Ω of the system. Such a modulation has the same frequency as the incoming gravitational wave. We also find that the atomic inversion acquires a similar time-dependent modulation. After a π / 2 − pulse of the electromagnetic driving field in the cavity, an atomic population N 0, previously prepared in its excited state, ends showing a small unbalance Δ N = N e − N g between the excited and the de-excited atoms. The unbalance amplitude is proportional to HN 0, with H being the gravitational strain. We briefly comment about possible astrophysical implications.

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Section: Introductionmentioning

confidence: 99%

Jaynes–Cummings model in a weak gravitational wave background

Sorge

2023

Class. Quantum Grav.

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“…These potential classes can also give physical results in the successful union of quantum mechanics and special relativity where the Dirac equation has a successfully explanation on the antimatter, spin, and the realistic behavior of atoms [1]. On the other hand, the gravitational field effects on some quantum mechanical systems have been studied as an exciting research field [2], [3], [4]. From the symmetries of the Dirac equation [5], Hermiticity and uniqueness [6], to the factorization and pseudo-supersymmetry [7], [8], covariant form of the Dirac equation and its aspects are studied.…”

Section: Introductionmentioning

confidence: 99%

Dirac Equation on the Torus and Rationally Extended Trigonometric Potentials within Supersymmetric QM

Yeşiltaş

2018

Advances in High Energy Physics

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The exact solutions of the (2 + 1) dimensional Dirac equation on the torus and the new extension and generalization of the trigonometric Pöschl-Teller potential families in terms of the torus parameters are obtained. Supersymmetric quantum mechanical techniques are used to get the extended potentials when the inner and outer radii of the torus are both equal and inequal. In addition, using the aspects of the Lie algebraic approaches, the iso(2, 1) algebra is also applied to the system where we have arrived at the spectrum solutions of the extended potentials using the Casimir operator that matches with the results of the exact solutions.

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Harmonic oscillator problem in the background of a topologically charged Ellis-Bronnikov–type wormhole(a)

Ahmed

2023

EPL

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In this paper, we study the quantum dynamics of non-relativistic particles in the background of a topological chagred Ellis-Bronnikov-type wormhole space-time. We derived the radial wave equation and obtain the eigenvalue solution through the confluent Heun equation. Afterwards, we study the harmonic oscillator problem in the same wormhole background and solve the wave equation using the same technique. In both cases, the ground state energy level $E_{1,l}$ and the wave function $ψ_{1,l}$ are presented. Finally, we analyze the results and show that the eigenvalue solutions are influenced by the topological defect parameter α and the wormhole throat radius a = const and get them modified.

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Some effects on quantum systems due to the gravitational field of a topological defect

Cited by 3 publications

References 8 publications

Jaynes–Cummings model in a weak gravitational wave background

Jaynes–Cummings model in a weak gravitational wave background

Dirac Equation on the Torus and Rationally Extended Trigonometric Potentials within Supersymmetric QM

Harmonic oscillator problem in the background of a topologically charged Ellis-Bronnikov–type wormhole(a)

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