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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…

数值分析 · 数学 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…

高能物理 - 唯象学 · 物理学 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…

谱理论 · 数学 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…

广义相对论与量子宇宙学 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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.…

核理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

量子物理 · 物理学 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…

数学物理 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

统计力学 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 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,…

量子物理 · 物理学 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…

量子物理 · 物理学 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…

量子物理 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 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…

量子物理 · 物理学 2020-08-26 G. Mouloudakis , P. Lambropoulos