arXiv subjects

Anom Trenggana

Publications and source records attributed to Anom Trenggana.

4 recordsLinked to original sources

arXiv2026

Quantum Gravity Induced Entanglement from Propagating Gravitons

In this work, we show how the interaction between propagating modes of the quantized gravitational field and two massive particles trapped in a harmonic oscillator potential can cause the two particles to become entangled. To demonstrate this, we employ an operator-based approach within the framework of the Feynman-Vernon influence functional. Through this method, we find that the effect of the gravitational field on the generated entanglement is encoded in the commutation relations of the gravitational field. This result indicates that, within the framework of the model considered, entanglement arises through the quantum contributions of the gravitational field. Furthermore, this work also shows that entanglement is not formed instantaneously after the two particles interact with the gravitational field. Instead, there exists a time delay, proportional to the distance between the particles, before entanglement is established. This result reflects the causal propagation nature of gravitational interactions. In general, the entanglement generated through this mechanism is extremely small. Nevertheless, if the initial quantum states of the two massive particles are chosen to be squeezed states, the amount of generated entanglement can be enhanced, although the resulting effect remains very small.

hep-th↗

arXiv2025

Quantum Response of a Harmonically Trapped Detector to Classical and Non-classical Gravitational Fields

In this work, we study the response of a detector confined in a harmonic oscillator potential when interacting with classical and quantum gravitational fields. The detector response is characterized through transition probabilities between its energy levels, with the aim of investigating how non-classical properties of the gravitational field affect the detector dynamics. The quantum states of the gravitational field considered include coherent states and squeezed states. Our results show that the influence of the gravitational field on the detector transition probabilities is encoded in the two-time correlation function of the field. For coherent states, the structure of this two-time correlation function can be reproduced by an appropriately modeled classical gravitational field, particularly when the classical field is stationary. In contrast, for squeezed states, the two-time correlation function contains additional contributions that cannot be replicated within a classical description when the classical field is stationary, leading to a non-linear time dependence of the detector transition probabilities.

gr-qc↗

arXiv2024

Decoherence Induced by the Noise of Primordial Graviton with Minimum Uncertainty Initial States

We have investigated the decoherence induced by the primordial graviton, using the influence functional method, to show whether this method is still effective in detecting graviton if the initial state is not a Bunch-Davies vacuum but rather a minimum uncertainty state. This minimum uncertainty condition allows the initial state of the primordial graviton to be an entanglement state between the polarization or, more generally, a superposition state between a vacuum and that entanglement. Both of those states have a non-classical correlation between the two polarization modes. We found that this method is still effective for detecting gravitons if the density matrix of the initial state does not have non-diagonal elements, where the maximum decoherence time is about 20 seconds, and the dimensions of the interferometer could be reduced if the total graviton increases.

hep-th↗

arXiv2023

Non-classicality of Primordial Gravitational Waves in Three-mode Representation Through Quantum Poincare Sphere

In this research, we generalize the transformation of the vacuum state that generated gravitational waves in the early universe which is usually transformed using a two-mode into a three-mode Bogoliubov transformation. Based on the calculation of quantum discord this transformation allows the universe to be classical when the squeezed parameter is large if only of the three possible modes, only two are considered. We also studied the quantum characteristics of those gravitational waves by calculating an observable quantity named the quantum Poincare sphere. The result will be the same as the two-mode transformation, where quantum characteristics appear if the squeezed parameter is greater than zero. However, if the initial state is coherent, different results will be obtained, the quantum Poincare sphere will not depend on the squeezed parameter and will be non-classical if $\cos\theta$ or $\sin\theta$ is not zero.

gr-qc↗