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The Debye-H\" uckel formula for ionic activity coefficients is extended for concentrated solutions by solving a simple model of many-body Coulomb correlations and adding the Born solvation energy. Given the bulk permittivity, our formula is…

Chemical Physics · Physics 2017-09-12 Sven Schlumpberger , Martin Z. Bazant

While the treatment of chemically relevant systems containing hundreds or even thousands of electrons remains beyond the reach of quantum devices, the development of quantum-classical hybrid algorithms to resolve electronic correlation…

The interaction of electromagnetic fields with a solid is characterized by several interconnected response functions: the dielectric function $\varepsilon(\omega)$, index of refraction $N(\omega)$, conductivity $\sigma(\omega)$, and optical…

Classical Physics · Physics 2018-06-14 D. Mark Riffe

We investigate the optical conductivity of a Hubbard ring in presence of an impurity by means of exact diagonalization using the Lanczos algorithm. We concentrate thereby on the first excited, open shell state, i.e. on twisted boundary…

Strongly Correlated Electrons · Physics 2009-09-29 Cosima Schuster , Philipp Brune

A density functional theory for colloidal dynamics is presented which includes hydrodynamic interactions between the colloidal particles. The theory is applied to the dynamics of colloidal particles in an optical trap which switches…

Soft Condensed Matter · Physics 2009-11-13 M. Rex , H. Loewen

The analysis of the Helmholtz equation is shown to lead to an exact Hamiltonian system of equations describing in terms of ray trajectories a very wide family of wave-like phenomena (including diffraction and interference) going much beyond…

Quantum Physics · Physics 2008-09-16 A. Orefice , R. Giovanelli , D. Ditto

Here, we propose a platform based on ultra-cold fermionic molecules trapped in optical lattices to simulate nonadiabatic effects, as they appear in certain molecular dynamical problems. The idea consists of a judicious choice of two…

Quantum Gases · Physics 2025-09-25 Javier Argüello-Luengo , Alejandro González-Tudela , J. Ignacio Cirac

We study a generalized cold atom Bose Hubbard model, where the periodic optical potential is formed by a cavity field with quantum properties. On the one hand the common coupling of all atoms to the same mode introduces cavity mediated long…

Quantum Physics · Physics 2009-11-11 Christoph Maschler , Helmut Ritsch

We have analytically determined the attenuation constant of the Drude metal for the entire range of frequency ($0<\omega<\infty$) of an electromagnetic (plane) wave incident on it within a single framework of classical electrodynamics.…

Strongly Correlated Electrons · Physics 2026-05-12 Bikram Keshari Behera , Rhitabrata Bhattacharyya , Shyamal Biswas

Scattering of photons at an atom with a dynamical nucleus is studied on the subspace of states of the system with a total energy below the threshold for ionization of the atom (Rayleigh scattering). The kinematics of the electron and the…

Mathematical Physics · Physics 2007-05-23 J. Froehlich , M. Griesemer , B. Schlein

The Dicke model -- a paradigmatic example of superradiance in quantum optics -- describes an ensemble of atoms which are collectively coupled to a leaky cavity mode. As a result of the cooperative nature of these interactions, the system's…

Quantum Gases · Physics 2019-12-16 Bihui Zhu , Jamir Marino , Norman Y. Yao , Mikhail D. Lukin , Eugene A. Demler

We study the force that non-interacting point-like active particles apply to a symmetric inert object in the presence of a gradient of activity and particle sources and sinks. We consider two simple patterns of sources and sinks that are…

Statistical Mechanics · Physics 2018-03-06 Nitzan Razin , Raphael Voituriez , Jens Elgeti , Nir S. Gov

The optical conductivity contains information about energy absorption and the underlying physical processes. In finite-dimensional systems, vertex corrections to the bare bubble need to be considered, which is a computationally challenging…

Strongly Correlated Electrons · Physics 2021-12-22 Olivier Simard , Martin Eckstein , Philipp Werner

This chapter summarizes the recent progress in the theory and analytical tools of quadratic optomechanical interactions, as one of the prominent domains of contemporary nonlinear quantum optics. Emphasis has been put here first to show what…

Quantum Physics · Physics 2018-10-25 Sina Khorasani

Euler's elastica model has a wide range of applications in Image Processing and Computer Vision. However, the non-convexity, the non-smoothness and the nonlinearity of the associated energy functional make its minimization a challenging…

Numerical Analysis · Mathematics 2020-01-10 Liang-Jian Deng , Roland Glowinski , Xue-Cheng Tai

The behavior of classical and quantum wave beams in stationary media is shown to be ruled by a "Wave Potential" function encoded in Helmholtz-like equations, determined by the structure itself of the beam and taking, in the quantum case,…

Quantum Physics · Physics 2011-11-01 A. Orefice , R. Giovanelli , D. Ditto

Classical and quantum physics represent two distinct theories; however, quantum physics is regarded as the more fundamental of the two. It is posited that classical mechanics should arise from quantum mechanics under certain limiting…

Quantum Physics · Physics 2026-01-21 Abdul Rahaman Shaikh , Tabish Qureshi

The motion of a free quantum particle in a thermal environment is usually described by the quantum Langevin equation, where the effect of the bath is encoded through a dissipative and a noise term, related to each other via the fluctuation…

Statistical Mechanics · Physics 2020-12-16 Avijit Das , Abhishek Dhar , Ion Santra , Urbashi Satpathi , Supurna Sinha

We present a microscopic approach for the coupling of cortical activity, as resulting from proper dipole currents of pyramidal neurons, to the electromagnetic field in extracellular fluid in presence of diffusion and Ohmic conduction.…

Neurons and Cognition · Quantitative Biology 2013-10-08 Peter beim Graben , Serafim Rodrigues

For a free particle, the coupling to its environment can be the relevant mechanism to induce quantum behavior as the temperature is lowered. We study general linear environments with a spectral density proportional to {\omega}^s at low…

Quantum Physics · Physics 2013-10-16 Benjamin Spreng , Gert-Ludwig Ingold , Ulrich Weiss