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We study $d$-dimensional Conformal Field Theories (CFTs) on the cylinder, $S^{d-1}\times \mathbb{R}$, and its deformations. In $d=2$ the Casimir energy (i.e. the vacuum energy) is universal and is related to the central charge $c$. In $d=4$…

High Energy Physics - Theory · Physics 2015-07-21 Benjamin Assel , Davide Cassani , Lorenzo Di Pietro , Zohar Komargodski , Jakob Lorenzen , Dario Martelli

We compute the leading radiative correction to the Casimir force between two parallel plates in the $\lambda\Phi^4$ theory. Dirichlet and periodic boundary conditions are considered. A heuristic approach, in which the Casimir energy is…

High Energy Physics - Theory · Physics 2013-05-29 Luiz C. de Albuquerque , R. M. Cavalcanti

The complex-scaling method can be used to calculate molecular resonances within the Born-Oppenheimer approximation, assuming the electronic coordinates are dilated independently of the nuclear coordinates. With this method, one will…

Quantum Physics · Physics 2021-06-16 Teng Bian , Sabre Kais

In the present study, the zeroth- and first-order radiative correction of the Casimir energy for massive and massless scalar fields, confined with mixed boundary conditions (Dirichlet- Neumann) between two parallel plates in $\phi^4$…

High Energy Physics - Theory · Physics 2019-12-18 M. A. Valuyan

Quantum machine learning could possibly become a valuable alternative to classical machine learning for applications in High Energy Physics by offering computational speed-ups. In this study, we employ a support vector machine with a…

A theoretical model of a quantum device which can factorize any number N in two steps i.e. by preparing an input state and performing a measurement is discussed. The analysis reveals that the duration of state preparation and measurement is…

Quantum Physics · Physics 2007-05-23 Robert Alicki

Quantum computing brings a promise of new approaches into computational quantum chemistry. While universal, fault-tolerant quantum computers are still not available, we want to utilize today's noisy quantum processors. One of their flagship…

In this work, we investigate the violation of Lorentz symmetry through the Casimir effect. The Casimir effect is one of the most intriguing aspects of modern physics, representing a macroscopic quantum-origin force between two neutral…

High Energy Physics - Theory · Physics 2024-10-29 E. R. Bezerra de Mello , M. B. Cruz

We derive a trace formula for the spectra of quantum mechanical systems in hyperbolic polygons which are the fundamental domains of discrete isometry groups acting in the two dimensional hyperboloid. Using this trace formula and the point…

High Energy Physics - Theory · Physics 2008-11-26 H. Ahmedov

We present our recent studies on thermal field theories using quantum algorithms. We first delve into the representation of quantum fields via qubits on general digital quantum computers alongside the quantum algorithms employed to evaluate…

Quantum Physics · Physics 2024-12-04 Iván Cuntín , Wenyang Qian , Bin Wu

In this paper, we extend previous results on the quantum vacuum or Casimir energy, for a noninteracting rotating system and for an interacting nonrotating system, to the case where both rotation and interactions are present. Concretely, we…

High Energy Physics - Theory · Physics 2023-02-02 Antonino Flachi , Matthew Edmonds

We present experimental quantum computation of the ground-state energy in a 103-site flat Kagome lattice under the antiferromagnetic Heisenberg model (KAFH), with IBM's Heron r1 and Heron r2 quantum processors. For spin-1/2 KAFH, our…

Quantum Physics · Physics 2025-07-18 Muhammad Ahsan

Estimating the ground state energy of a multiparticle system with relative error $\e$ using deterministic classical algorithms has cost that grows exponentially with the number of particles. The problem depends on a number of state…

Quantum Physics · Physics 2013-07-23 Anargyros Papageorgiou , Iasonas Petras , Joseph F. Traub , Chi Zhang

We consider the quantization of a scalar kappa-deformed field up to the point of obtaining an expression for its vacuum energy. The expression is given by the half sum of the field frequencies, as in the non-deformed case, but with the…

High Energy Physics - Theory · Physics 2015-06-26 M. V. Cougo-Pinto , C. Farina , J. F. M. Mendes

We use zeta function techniques to give a finite definition for the Casimir energy of an arbitrary ultrastatic spacetime with or without boundaries. We find that the Casimir energy is intimately related to, but not identical to, the…

High Energy Physics - Theory · Physics 2010-11-01 Steven K. Blau , Matt Visser , Andreas Wipf

We review the framework we and our collaborators have developed for the study of one-loop quantum corrections to extended field configurations in renormalizable quantum field theories. We work in the continuum, transforming the standard…

High Energy Physics - Theory · Physics 2009-11-07 Noah Graham , Robert L. Jaffe , Herbert Weigel

The Lifshitz formula is well known as a theoretical approach to investigate the Casimir effect at finite temperature. In this Letter, we generalize the Lifshitz formula to the Casimir effect originating from quantum fields at finite…

Quantum Physics · Physics 2025-10-01 Daisuke Fujii , Katsumasa Nakayama , Kei Suzuki

In this paper, we study the synchronization of qubits induced by the dynamical Casimir effect in an atom-cavity quantum electrodynamics system. Our investigation revolves around a pragmatic configuration of a quantum system, where two…

Quantum Physics · Physics 2024-11-25 Haruki Mitarai , Yoshihiko Hasegawa

Using recently developed techniques based on scattering theory, we find the electromagnetic Casimir energy for geometries involving semi-infinite planes, a case that is of particular interest in the design of microelectromechanical devices.…

Quantum Physics · Physics 2011-06-20 Mohammad F. Maghrebi , Noah Graham

We calculate the gravitational self-energy of vacuum quantum field fluctuations using a Casimir approach. We find that the Casimir gravitational self-energy density can account for the measured dark energy density when the SUSY-breaking…

High Energy Physics - Theory · Physics 2007-05-23 Allan Rosencwaig
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