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The focus of this work is on the construction of a family of nonlinear absorbing boundary conditions for the Westervelt equation in one and two space dimensions. The principal ingredient used in the design of such conditions is…

Numerical Analysis · Mathematics 2014-08-22 Barbara Kaltenbacher , Igor Shevchenko

A relativistic equation is deduced for the bound state of two particles, by assuming a proper boundary condition for the propagation of the negative-energy states. It reduces to the (one-body)Dirac equation in the infinite limit of one of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hitoshi Ito

The hybrid spectral problem where the field satisfies Dirichlet conditions (D) on part of the boundary of the relevant domain and Neumann (N) on the remainder is discussed in simple terms. A conjecture for the C_1 coefficient is presented…

Spectral Theory · Mathematics 2009-11-10 J. S. Dowker

We consider the response of a uniformly accelerated monopole detector that is coupled non-linearly to the nth power of a quantum scalar field in (D+1)-dimensional flat spacetime. We show that, when (D+1) is even, the response of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Sriramkumar

We study a coupled system that describes the interacting dynamics between a bulk field, confined to a finite region with timelike boundary, and a boundary observable. In our system the dynamics of the boundary observable prescribes…

High Energy Physics - Theory · Physics 2020-04-14 Benito A. Juárez-Aubry , Ricardo Weder

We solve the two-component Dirac equation in the presence of a spatially one dimensional symmetric cusp potential. We compute the scattering and bound states solutions and we derive the conditions for transmission resonances as well as for…

High Energy Physics - Theory · Physics 2009-11-10 Victor M. Villalba , Walter Greiner

A mechanism for localization of quantum fields on a $s$-brane, representing the boundary of a s+2 dimensional bulk space, is investigated. Minkowski and AdS bulk spaces are analyzed. Besides the background geometry, the relevant parameters…

High Energy Physics - Theory · Physics 2015-06-25 Mihail Mintchev , Luigi Pilo

Absorbing boundary condition approach to nuclear breakup reactions is investigated. A key ingredient of the method is an absorbing potential outside the physical area, which simulates the outgoing boundary condition for scattered waves.…

Nuclear Theory · Physics 2009-11-07 Manabu Ueda , Kazuhiro Yabana , Takashi Nakatsukasa

We consider the semi-classical expansion of the Bunch-Davies wavefunction with future boundary condition in position space for a real scalar field, conformally coupled to a classical de Sitter background in the expanding Poincar\'e patch…

High Energy Physics - Theory · Physics 2021-02-18 Till Heckelbacher , Ivo Sachs

We report generation of a new quantum interference effect in spontaneous emission from a resonantly driven system of two identical two-level atoms due to the spatial variation of the laser phase at the positions of the atoms. This…

Quantum Physics · Physics 2008-10-06 Sumanta Das , G. S. Agarwal , Marlan O. Scully

In the framework of the functional renormalization group and of the perturbative, algebraic approach to quantum field theory (pAQFT), in [DDPR23] it has been derived a Lorentian version of a flow equation \`a la Wetterich, which can be used…

Mathematical Physics · Physics 2024-01-17 Claudio Dappiaggi , Filippo Nava , Luca Sinibaldi

We describe a quantum system consisting of a one-dimensional linear chain of n identical harmonic oscillators coupled by a nearest neighbor interaction. Two boundary conditions are taken into account: periodic boundary conditions (where the…

High Energy Physics - Theory · Physics 2008-11-26 S. Lievens , N. I. Stoilova , J. Van der Jeugt

We have investigated the Unruh effect in Anti de-Sitter (AdS) spacetime by examining the response function of an Unruh-DeWitt particle detector with uniform constant acceleration. An exact expression of the detector response function for…

High Energy Physics - Theory · Physics 2021-09-14 Shahnewaz Ahmed , Mir Mehedi Faruk

We provide a framework to build periodic boundary conditions on the pseudosphere (or hyperbolic plane), the infinite two-dimensional Riemannian space of constant negative curvature. Starting from the common case of periodic boundary…

Statistical Mechanics · Physics 2008-11-26 François Sausset , Gilles Tarjus

We examine the Unruh-DeWitt particle detector coupled to a scalar field in an arbitrary Hadamard state in four-dimensional curved spacetime. Using smooth switching functions to turn on and off the interaction, we obtain a regulator-free…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Jorma Louko , Alejandro Satz

We demonstrate that the quantum vacuum, as perceived by a uniformly accelerating observer, can be harnessed to perform a quantum Z-gate. A two-level Unruh-DeWitt detector, prepared in a superposition of its ground and excited states,…

Quantum Physics · Physics 2025-07-30 Arash Azizi

Quantum superposition is often phrased as the ability to add state vectors. In practice, however, the physical quantity is a ray (a rank-one projector), so each input specifies only a projector and leaves a gauge freedom in the phases of…

Quantum Physics · Physics 2026-01-22 Jeongho Bang , Kyoungho Cho , Ki Hyuk Yee

The Unruh effect predicts an astonishing phenomenon that an accelerated detector would detect counts despite being in a quantum field vacuum in the rest frame. Since the required detector acceleration for its direct observation is…

Quantum Physics · Physics 2025-10-29 Xu Cheng , Yue Li , Zehua Tian , Xingyu Zhao , Xi Qin , Yiheng Lin

In this paper, we explore correlation harvesting in quantum superposition, specifically focusing on the entanglement and mutual information extracted by two Unruh-DeWitt detectors interacting with a quantum field in a mass-superposed BTZ…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Yu Tang , Wentao Liu , Zhilong Liu , Jieci Wang

Through a quantitative analysis of an atomic transition driven strongly by quantized electromagnetic fields of various quantum states, we explore the role of quantum fluctuations on the behavior of the system. The emphasis is on fields with…

Quantum Physics · Physics 2020-08-26 G. Mouloudakis , P. Lambropoulos