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We extend the theory of weakly coupled oscillators to incorporate slowly varying inputs and parameters. We employ a combination of regular perturbation and an adiabatic approximation to derive equations for the phase-difference between a…

Dynamical Systems · Mathematics 2016-03-09 Youngmin Park , Bard Ermentrout

The process of pair creation by a photon in a constant and homogeneous electromagnetic field of an arbitrary configuration is investigating. At high energy the correction to the standard quasiclassical approximation (SQA) has been…

High Energy Physics - Phenomenology · Physics 2022-03-02 V. M. Katkov

We study the quantum-classical correspondence of an experimentally accessible system of interacting bosons in a tilted triple-well potential. With the semiclassical analysis, we get a better understanding of the different phases of the…

Quantum Physics · Physics 2021-10-20 E. R. Castro , Jorge Chavez-Carlos , I. Roditi , Lea F. Santos , Jorge G. Hirsch

We study the nontrivial interplay of the well known \emph{pairing} and the more complex \emph{quarteting} correlations in the particular case of $N>Z$ atomic nuclei. Within the new Analytical Disentangled Condensate model, by implementing…

Nuclear Theory · Physics 2019-10-01 V. V. Baran , D. S. Delion

We consider an optomechanical system composed by a trapped ion dispersively coupled to a single mode of a pumped optical cavity. We focus in a parameter range for which the semiclassical description predicts two clearly distinct equilibrium…

Quantum Physics · Physics 2021-10-27 Alan Kahan , Leonardo Ermann , Cecilia Cormick

Theories which have been used to describe the quantized electromagnetic field interacting with a nonlinear dielectric medium are either phenomenological or derived by quantizing the macroscopic Maxwell equations. Here we take a different…

atom-ph · Physics 2016-08-31 Mark Hillery , Leonard Mlodinow

In this paper we study the application of four-mode squeezed states in the cosmological context, studying two weakly coupled scalar fields in the planar patch of the de Sitter space. We construct the four-mode squeezed state formalism and…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Sayantan Choudhury , Sudhakar Panda , Nilesh Pandey , Abhishek Roy

In this work, we demonstrate the importance of considering correlations between degenerate Zeeman sublevels that develop in dense atomic ensembles. In order to do this, we develop a set of equations capable of simulating large numbers of…

Atomic Physics · Physics 2017-11-29 R. T. Sutherland , F. Robicheaux

We present a formalism that enables the analytic calculation of the interaction of a spin-half particle with a polychromatic electromagnetic field. This powerful new approach provides a clear physical picture even for cases with highly…

Quantum Physics · Physics 2019-07-03 Ben Yuen , Christopher J. Foot

We study solutions of the collisionless Boltzmann equation (CBE) in a functional Koopman representation. This facilitates the use of linear spectral techniques characteristic of the analysis of Schrodinger-type equations. For illustrative…

Astrophysics of Galaxies · Physics 2024-06-25 Keir Darling , Lawrence M. Widrow

Phase space tomography estimates correlation functions entirely from snapshots in the evolution of the wave function along a time or space variable. In contrast, traditional interferometric methods require measurement of multiple two-point…

Optics · Physics 2015-06-16 Lei Tian , Justin Lee , Se Baek Oh , George Barbastathis

We propose the use of an orthogonal wave packet basis to analyze the low-energy physics of interacting electron systems with short range order. We give an introduction to wave packets and the related phase space representation of fermion…

Strongly Correlated Electrons · Physics 2013-05-14 M. Ossadnik

We analyze the phase conjugate coupling of a pair of optomechanical oscillator modes driven by the time-dependent beat-note due to a two-color optical field. The dynamics of the direct and phase conjugate modes exhibit familiar…

Quantum Physics · Physics 2015-06-15 L. F. Buchmann , E. M. Wright , P. Meystre

Mean-field mixed quantum--classical dynamics could provide a much-needed means to inexpensively model quantum electrodynamical phenomena, by describing the optical field and its vacuum fluctuations classically. However, this approach is…

Chemical Physics · Physics 2023-12-11 Ming-Hsiu Hsieh , Alex Krotz , Roel Tempelaar

In this study we consider the Hamiltonian approach for the construction of a map for a system with nonlinear resonant interaction, including phase trapping and phase bunching effects. We derive basic equations for a single resonant…

We model a system of ultracold fermionic dipolar molecules on a two-dimensional square lattice. Assuming that the molecules are in their nondegenerate hyperfine ground state, and that the dipole moment is polarized perpendicular to the…

Quantum Gases · Physics 2011-04-15 K. Mikelsons , J. K. Freericks

Squeezing of optical fields, used as a powerful resource for many applications, and the radiation properties in the process of high harmonic generation have thus far been considered separately. In this Letter, we want to clarify that the…

We study the phase-sensitivity of collisional phase-diffusion between weakly coupled Bose-Einstein condensates, using a semiclassical picture of the two-mode Bose-Hubbard model. When weak-coupling is allowed, zero relative phase locking is…

Other Condensed Matter · Physics 2015-05-13 Erez Boukobza , Maya Chuchem , Doron Cohen , Amichay Vardi

We present a Lagrangian-Hamiltonian formalism of a moving dielectric sphere interacting with radiation fields. By including the interaction up to the first order in the speed of the sphere, we derive the Hamiltonian and perform quantization…

Quantum Physics · Physics 2012-09-06 H. K. Cheung , C. K. Law

We present a quantum theory for a fully coupled hybrid optomechanical system where all mutual couplings between a two-level atom, a confined photon mode and a mechanical oscillator mode are considered. In such a configuration, new quantum…

Quantum Physics · Physics 2017-03-01 Juan Restrepo , Ivan Favero , Cristiano Ciuti