Article
Astronomy & Astrophysics
T. Rick Perche, Jonas Neuser
Summary: We simplified Dirac's spinor formalism to describe a spin 1/2 particle in curved spacetimes using complex wavefunctions. By expanding around the center of mass in terms of acceleration and curvature, we generalized previous results and obtained a quantum description in a Hilbert space of complex wavefunctions. The evolution of the wavefunction is governed by a modified Schrodinger equation associated with a symmetric Hamiltonian, introducing corrections due to the acceleration and curvature of spacetime.
CLASSICAL AND QUANTUM GRAVITY
(2021)
Article
Astronomy & Astrophysics
Susmita Jana, S. Shankaranarayanan
Summary: The gravitational memory effect and its electromagnetic analog are potential probes in the strong gravity regime. Researchers evaluated the electromagnetic (EM) memory effect for comoving observers in arbitrary curved spacetimes, providing a transparent and easily applicable expression for the EM memory in general curved spacetimes. The master equation derived in this study allows for a physical understanding of the contribution to the EM memory and demonstrates the advantages of this approach in obtaining EM memory for specific spacetime geometries.
Article
Optics
Marcos L. W. Basso, Jonas Maziero
Summary: The study indicates that in curved spacetimes, complementarity aspects are connected as the quanton travels through its world line. Specifically in the Schwarzschild spacetime, the behavior of complementary properties of massive spin-1/2 particles varies with different types of orbits.
Article
Physics, Mathematical
William Borrelli, Andrea Malchiodi, Ruijun Wu
Summary: By exploring the conformal covariance of the Dirac equation, we have proven a classification result for ground state solutions of the critical Dirac equation on R-n, where these solutions are related to Killing spinors and the Yamabe equation for the sphere. This relationship is crucially based on some known classification results.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2021)
Article
Mathematics, Applied
Fabio Ciolli, Roberto Longo, Alessio Ranallo, Giuseppe Ruzzi
Summary: The study demonstrates the convexity of the entropy function associated with standard subspaces under a half-sided modular inclusion, as well as its application in quantum field theory.
JOURNAL OF GEOMETRY AND PHYSICS
(2022)
Article
Astronomy & Astrophysics
Bertrand Berche, Sebastien Fumeron, Fernando Moraes
Summary: We propose to develop the Kalb-Ramond theory in a four-dimensional spacetime using classical field theory methods similar to those in Maxwell theory. The solutions of the Kalb-Ramond theory with static sources in curved spacetimes are analyzed, focusing on the potential Kalb-Ramond polarization effect in these spacetimes.
Article
Astronomy & Astrophysics
Ali Rida Khalifeh, Raul Jimenez
Summary: The study explores the interaction between a spinor and a scalar field describing dark energy in general curved spacetime. It focuses on the dominant dimension 5 operator, which causes different energy shifts for neutrino states, similar to the Aharonov-Bohm effect. The research also predicts observational possibilities of detecting dark energy interactions in laboratory settings.
PHYSICS OF THE DARK UNIVERSE
(2021)
Article
Astronomy & Astrophysics
Simon Jacobsson, Thomas Baeckdahl
Summary: Employing the covariant language of two-spinors, we determine the conditions for the existence of a second order symmetry operator for the massive Dirac equation in a curved four-dimensional Lorentzian spacetime. These conditions are formulated as the existence of a set of Killing spinors satisfying a set of covariant linear differential equations. Using these Killing spinors, we derive the most general form of such an operator. Partial results for the zeroth and first order are presented and interpreted. Computer algebra tools from the Mathematica package suite xAct were utilized for the calculations.
CLASSICAL AND QUANTUM GRAVITY
(2023)
Article
Astronomy & Astrophysics
Panagiotis Mavrogiannis, Christos G. Tsagas
Summary: This paper discusses the evolution of electromagnetic potentials in different spacetimes and their wave equations, focusing on the impact of non-Euclidean geometry on the vector potential and the evolutionary differences in Friedmann universes. The study reveals that the different spatial geometries have a significant effect on the evolution of potentials.
CLASSICAL AND QUANTUM GRAVITY
(2021)
Article
Astronomy & Astrophysics
Marcos L. W. Basso, Jonas Maziero
Summary: The research demonstrates that gravity can affect interferometric visibility, not necessarily due to the proper time concept. The unitary representation of the local Lorentz transformation in the Newtonian limit can explain this phenomenon, and this effect persists in different spacetime geometries.
CLASSICAL AND QUANTUM GRAVITY
(2021)
Article
Physics, Multidisciplinary
J. M. Hoff da Silva, R. J. Bueno Rogerio, N. C. R. Quinquiolo
Summary: In this article, we investigate the construction of spinorial duals using discrete symmetry operators. By examining algebraic and physical constraints, we aim to determine the combinations of discrete symmetries that can form well-posed spinorial duals. The Lounesto classification is related to other spinor classification possibilities in order to establish connections between classes and physical constraints.
Review
Mathematics
Zhirayr Avetisyan, Matteo Capoferri
Summary: "This review paper discusses the relationship between recent advances in partial differential equations theory and their applications to quantum field theory on curved spacetimes. It focuses on hyperbolic propagators and the construction of physically admissible quantum states, known as Hadamard states, on globally hyperbolic spacetimes. The paper reviews the concept of a propagator, its construction on Riemannian and Lorentzian manifolds, and the connection between Hadamard states and hyperbolic propagators through the wavefront set."
Article
Physics, Multidisciplinary
R. J. Bueno Rogerio, J. M. Hoff da Silva, C. H. Coronado Villalobos
Summary: This paper connects the expansion coefficients of well behaved fermionic quantum field with a specific subclass of Type-2 spinors according to Lounesto's classification. Theoretical possibilities and physical outcomes for other cases are also discussed.
Article
Astronomy & Astrophysics
Joshua Foo, Robert B. Mann, Magdalena Zych
Summary: This research explores an entanglement harvesting protocol between two Unruh-deWitt detectors in quantum superpositions of static trajectories, showing that spatial superposition allows entanglement to be harvested in regimes inaccessible to detectors on classical trajectories. Surprisingly, the amount of harvested entanglement for detectors on delocalized trajectories in a thermal bath increases with the field's temperature, violating a previously derived no-go theorem. The study also reveals interesting effects for mutual information harvesting, which depend on the nonlocal correlations between superposed trajectories and the paths of the detectors.
Article
Mathematics, Applied
Joas Venancio, Carlos Batista
Summary: This article discusses various aspects of the two-component spinorial formalism for six-dimensional spacetimes, including the representation of chiral spinors by objects with two quaternionic components and the identification of the spin group as SL(2, H). It explores the fundamental representations of this group, the representation of vectors, bivectors, and 3-vectors in this spinorial formalism, as well as the complexification of spacetime to handle other signatures. The article also addresses the lack of group representation in objects built from tensor products of the fundamental representations of SL(2, H) due to the non-commutativity of quaternions. Additionally, it establishes a connection between quaternionic spinorial formalism for six-dimensional spacetimes and the four-component spinorial formalism over the complex field.
ADVANCES IN APPLIED CLIFFORD ALGEBRAS
(2021)
Article
Astronomy & Astrophysics
Gonzalo Martin-Vazquez, Carlos Sabin
CLASSICAL AND QUANTUM GRAVITY
(2020)
Article
Physics, Multidisciplinary
C. W. Sandbo Chang, Carlos Sabin, P. Forn-Diaz, Fernando Quijandria, A. M. Vadiraj, I Nsanzineza, G. Johansson, C. M. Wilson
Article
Physics, Multidisciplinary
A. Agusti, C. W. Sandbo Chang, F. Quijandria, G. Johansson, C. M. Wilson, C. Sabin
PHYSICAL REVIEW LETTERS
(2020)
Article
Astronomy & Astrophysics
Carlos Sabin
Article
Astronomy & Astrophysics
Adrian Terrones, Carlos Sabin
Summary: The research proposes quantum simulations of 1 + 1D radial sections of different black hole spacetimes, using a dc-SQUID array on an open transmission line. The generation of event horizons and Hawking radiation in the simulator can be achieved for non-rotating black holes, with limitations related to quantum phase fluctuations discussed. However, the simulation of ergospheres in rotating black holes seems to be beyond reach.
Article
Astronomy & Astrophysics
Carlos Sabin
Summary: We introduce a qubit-based version of the quantum switch, consisting of a variation of the Fermi problem. The excited state of one qubit in a superposition state can be determined by detecting a photon, but the ordering of excitation events by both qubits cannot be determined. The probability of excitation of each atom is independent of the other one when photon exchange is prevented.
Article
Astronomy & Astrophysics
Carlos Sabin
Summary: We propose an analogue quantum simulator that can simulate a 1+1D spacetime with non-causal curves, specifically null geodesics going back in time. This is achieved by mimicking the spatial dependence of the metric using the propagation speed of the electromagnetic field in the simulator, which can be controlled by an external magnetic flux. While it is possible to simulate a spacetime region containing non-causal null geodesics, it is not possible to simulate a full spacetime with a chronological horizon separating regions with and without non-causal null geodesics, in agreement with recent suggestions of an analogue-gravity chronology protection mechanism by Barcelo et al.
Article
Quantum Science & Technology
Carlos Sabin
Summary: We report a digital quantum simulation of a hamiltonian that generates quantum entanglement through gravitational means. Specifically, we focus on a pair of quantum harmonic oscillators, which interact via a quantum gravitational field to produce single-mode squeezing simultaneously in both modes, a non-standard process in quantum optics. By employing a boson-qubit mapping and a digital gate decomposition tailored for IBM quantum devices, we mitigate errors and use post-selection to achieve high-fidelity simulations in a parameter regime that is beyond direct experimental reach.
EPJ QUANTUM TECHNOLOGY
(2023)
Article
Optics
Paula Cordero Encinar, Andres Agusti, Carlos Sabin
Summary: Results are presented on digital quantum simulations of beam-splitter and squeezing interactions, achieving high fidelity through error mitigation and postselection techniques. Fidelities above 90% are achieved for single-mode squeezing with low values, ranging from 60% to 90% for large squeezing and more complex two-mode interactions.
Article
Optics
A. Agusti, L. Garcia-Alvarez, E. Solano, C. Sabin
Summary: This research explores a microscopic model of the dynamical Casimir effect, demonstrating that under certain conditions, a large number of photons can be generated without changing the state of the qubit.
Correction
Optics
Nadir Samos Saenz de Buruaga, Carlos Sabin
Article
Optics
Andres Agusti, Enrique Solano, Carlos Sabin
Article
Astronomy & Astrophysics
Javier Faba Garcia, Carlos Sabin
Article
Astronomy & Astrophysics
Carlos Sabin
Article
Astronomy & Astrophysics
Jesus Mateos, Carlos Sabin
