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We investigate the inverse source problem for the wave equation, arising in photo- and thermoacoustic tomography. There exist quite a few theoretically exact inversion formulas explicitly expressing solution of this problem in terms of the…

Analysis of PDEs · Mathematics 2018-08-01 Ngoc Do , Leonid Kunyansky

Using a numerical implementation of the truncated Wigner approximation, we simulate the experiment reported by Ramanathan et al. in Phys. Rev. Lett. 106, 130401 (2011), in which a Bose-Einstein condensate is created in a toroidal trap and…

Quantum Gases · Physics 2014-08-26 Amy C. Mathey , Charles W. Clark , L. Mathey

The normalized non-dimensional von K\'arm\'an-Howarth equation for isotropic homogeneous decaying and forced steady turbulence is integrated to obtain expressions for the dissipation rate coefficient $C_{\epsilon}=(L \epsilon)/< u^2…

Fluid Dynamics · Physics 2011-08-03 Philip Schaefer

Perfectly conducting boundaries, and their Dirichlet counterparts for quantum scalar fields, predict nonintegrable energy densities. A more realistic model with a finite ultraviolet cutoff yields two inconsistent values for the force on a…

High Energy Physics - Theory · Physics 2016-05-18 S. W. Murray , C. M. Whisler , S. A. Fulling , Jef Wagner , H. B. Carter , David Lujan , F. D. Mera , T. E. Settlemyre

We develop a unified approach for establishing rates of decay for the Fourier transform of a wide class of dynamically defined measures. Among the key features of the method is the systematic use of the $L^2$-flattening theorem obtained in…

Dynamical Systems · Mathematics 2024-12-23 Simon Baker , Osama Khalil , Tuomas Sahlsten

The valley structure associated with quantum meta-stability is examined. It is defined by the new valley equation, which enables consistent evaluation of the imaginary-time path-integral. We study the structure of this new valley equation…

High Energy Physics - Theory · Physics 2009-10-28 Hideaki Aoyama , Shinya Wada

Eigenstate multifractality is of significant interest with potential applications in various fields of quantum physics. Most of the previous studies concentrated on fine-tuned quantum models to realize multifractality which is generally…

Disordered Systems and Neural Networks · Physics 2025-07-03 Adway Kumar Das , Anandamohan Ghosh , Ivan M. Khaymovich

A detailed investigation of the scaling properties of the fully finite ${\cal O}(n)$ systems with long-range interaction, decaying algebraically with the interparticle distance $r$ like $r^{-d-\sigma}$, below their upper critical dimension…

Statistical Mechanics · Physics 2009-10-31 H. Chamati , N. S. Tonchev

We propose a new formula that extracts the quantum Hall conductance from a single (2+1)D gapped wavefunction. The formula applies to general many-body systems that conserve particle number, and is based on the concept of modular flow: i.e.,…

Strongly Correlated Electrons · Physics 2022-08-26 Ruihua Fan , Rahul Sahay , Ashvin Vishwanath

We analyze the spontaneous emission of a two-level atom interacting with a special class of structured reservoirs of field modes with band gap edge coinciding with the atomic transition frequency. The exact time evolution of the population…

Quantum Physics · Physics 2011-11-03 Filippo Giraldi , Francesco Petruccione

This paper studies the one-loop effective action for Euclidean Maxwell theory about flat four-space bounded by one three-sphere, or two concentric three-spheres. The analysis relies on Faddeev-Popov formalism and $\zeta$-function…

High Energy Physics - Theory · Physics 2009-10-30 Giampiero Esposito , Alexander Yu. Kamenshchik , Klaus Kirsten

The limiting bubble wall velocity during a first-order electroweak phase transition is of interest in scenarios for electroweak baryogenesis. Khlebnikov has recently proposed an interesting method for computing this velocity based on the…

High Energy Physics - Phenomenology · Physics 2010-02-16 Peter Arnold

We identify a new class of UV-complete instanton solutions that describe the false vacuum\- decay of a real scalar field in a particular curved spacetime background. To this end, we consider a simple scalar theory with a Coleman potential…

High Energy Physics - Theory · Physics 2022-07-18 Mulham Hijazi , Apostolos Pilaftsis

One-loop contributions to the decay $H\rightarrow \nu_l\bar{\nu}_l\gamma$ with $l=e, \mu, \tau$ within standard model framework are revisited in this paper. We derive two representations for the form factors in this calculation. As a…

High Energy Physics - Phenomenology · Physics 2022-03-23 Dzung Tri Tran , Khiem Hong Phan

We consider the vacuum partition function of a 4d scalar QFT in a curved background as function of bare marginal and relevant couplings. A local UV cutoff $\Lambda(x)$ transforming under Weyl rescalings allows to construct Weyl invariant…

High Energy Physics - Theory · Physics 2022-01-19 Ulrich Ellwanger

We revisit recently published high-fidelity implicit large eddy simulation datasets obtained with a high-order discontinuous Galerkin spectral element method and analyse them using Proper Orthogonal Decomposition (POD) as well as Spectral…

Fluid Dynamics · Physics 2024-03-04 Christian Morsbach , Bjoern F. Klose , Michael Bergmann , Felix M. Möller

We consider two-dimensional (2D) "artificial atoms" confined by an axially symmetric potential $V(\rho)$. Such configurations arise in circular quantum dots and other systems effectively restricted to a 2D layer. Using the semiclassical…

Mesoscale and Nanoscale Physics · Physics 2014-07-28 Yu. N. Ovchinnikov , Avik Halder , Vitaly V. Kresin

We study the dynamic structure factor of fluctuating elastic thin sheets subject to conservative (athermal) random forcing. In Steinbock, Katzav & Boudaoud, Phys. Rev. Research 4, 033096 (2022), the static structure factor of such a sheet…

Soft Condensed Matter · Physics 2023-02-09 Chanania Steinbock , Eytan Katzav

We present a novel method for calculating the fundamental gap. To this end, reduced-density-matrix-functional theory is generalized to fractional particle number. For each fixed particle number, $M$, the total energy is minimized with…

Strongly Correlated Electrons · Physics 2009-11-11 N. Helbig , N. N. Lathiotakis , M. Albrecht , E. K. U. Gross

We investigate the time-dependent variance of the fidelity with which an initial narrow wavepacket is reconstructed after its dynamics is time-reversed with a perturbed Hamiltonian. In the semiclassical regime of perturbation, we show that…

Quantum Physics · Physics 2009-11-10 Cyril Petitjean , Philippe Jacquod
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