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Semi-classical approaches approximate fully quantum descriptions with partially classical ones. Here we use a toy model to highlight the failings of the standard mean-field semi-classical approach, and show how including environmental…

Quantum Physics · Physics 2026-04-10 Isaac Layton

Response functions are key observables for probing the structure and dynamics of many-body systems. We introduce and demonstrate a quantum-classical framework for computing response functions of general many-fermion systems that also…

Quantum Physics · Physics 2026-02-10 Weijie Du , Yangguang Yang , Zixin Liu , Chao Yang , James P. Vary

I study the zero-temperature phase behavior of bosonic particles living on the nodes of a regular spherical mesh ("Platonic mesh") and interacting through an extended Bose-Hubbard Hamiltonian. Only the hard-core version of the model is…

Quantum Gases · Physics 2021-03-18 Santi Prestipino

In this work, we investigate the semiclassical limit of a simple bosonic quantum many-body system exhibiting both integrable and chaotic behavior. A classical Hamiltonian is derived using coherent states. The transition from regularity to…

A quantum model is considered for $N$ bosons populating two orthogonal single-particle modes with tunable energy separation in the presence of flavour-changing contact interaction. The quantum ground state is well approximated as a coherent…

Quantum Gases · Physics 2022-09-01 Andreas Hemmerich

We present a generic transfer matrix approach for the description of the interaction of atoms possessing multiple ground state and excited state sublevels with light fields. This model allows us to treat multi-level atoms as classical…

Quantum Physics · Physics 2011-01-24 André Xuereb , Peter Domokos , Peter Horak , Tim Freegarde

Properties of bosonic atoms in small systems with a periodic quasi one-dimensional circular toroidal lattice potential subjected to rotation are examined by performing exact diagonalization in a truncated many body space. The expansion of…

Quantum Gases · Physics 2015-06-12 Fernanda Pinheiro , A. F. R. de Toledo Piza

A new semiclassical approach to ionization by an oscillating field is presented. For a delta-function atom, an asymptotic analysis is performed with respect to a quantity h, defined as the ratio of photon energy to ponderomotive energy.…

Quantum Physics · Physics 2009-10-30 Klaus Ergenzinger

In quantum/classical (QM/CM) partitioning methods for multi-scale modeling, one is often forced to introduce uncontrolled phenomenological effects of the environment (CM) in the quantum (QM) domain as ab initio quantum calculations are…

Chemical Physics · Physics 2007-05-23 Aditi Mallik , Carlos E. Taylor , Keith Runge , James W. Dufty

A classical field theory is proposed for the electric current and the electromagnetic field interpolating between microscopic and macroscopic domains. It represents a generalization of the density functional for the dynamics of the current…

High Energy Physics - Theory · Physics 2008-11-26 Janos Polonyi

We study interaction effects on the orbital magnetism of diffusive mesoscopic quantum systems. By combining many-body perturbation theory with semiclassical techniques, we show that the interaction contribution to the ensemble averaged…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. Ullmo , K. Richter , H. U. Baranger , F. von Oppen , R. A. Jalabert

It is an open fundamental question how the classical appearance of our environment arises from the underlying quantum many-body theory. We propose that phenomena involved in the quantum-to-classical transition can be probed in collisions of…

Quantum Physics · Physics 2024-04-02 A. Sreedharan , S Kuriyattil , S. Choudhury , R. Mukherjee , A. Streltsov , S. Wüster

The goal of this article is to investigate the dynamics of semi-relativistic or non-relativistic charged particles in interaction with a scalar meson field. Our main contribution is the derivation of the classical dynamics of a…

Mathematical Physics · Physics 2024-05-22 Shahnaz Farhat

We study bosonic atoms near a Feshbach resonance, and predict that in addition to a standard normal and atomic superfluid phases, this system generically exhibits a distinct phase of matter: a molecular superfluid, where molecules are…

Superconductivity · Physics 2009-11-10 Leo Radzihovsky , Jae Park , Peter Weichman

The application of a classical approach to various quantum problems - the secular perturbation approach to quantization of a hydrogen atom in external fields and a helium atom, the adiabatic switching method for calculation of a…

Quantum Physics · Physics 2015-05-18 Evgeni A. Solov'ev

A recent experimental breakthrough allowed to probe electronic parametric resonance of a single magnetic atom in an STM setup. The results present intriguing features, such as an asymmetric lineshape and unusually large ratio of the…

Mesoscale and Nanoscale Physics · Physics 2019-05-28 Gal Shavit , Baruch Horovitz , Moshe Goldstein

The relation between the dynamical properties of a coupled quasiparticle-oscillator system in the mixed quantum-classical and fully quantized descriptions is investigated. The system is considered to serve as a model system for applying a…

chao-dyn · Physics 2009-10-28 Holger Schanz , Bernd Esser

A microscopic theory of linear response based on the Vlasov equation is extended to systems having spheroidal equilibrium shape. The solution of the linearized Vlasov equation, which gives a semiclassical version of the random phase…

Mesoscale and Nanoscale Physics · Physics 2009-02-05 A. Dellafiore , F. Matera , F. A. Brieva

Ultracold atoms provide an ideal system for the realization of quantum technologies, but also for the study of fundamental physical questions such as the emergence of decoherence and classicality in quantum many-body systems. Here, we study…

Quantum Physics · Physics 2015-03-13 Holger Hennig , Dirk Witthaut , David K. Campbell

We present a new approach for the analysis of Bose-Einstein condensates in a few mode approximation. This method has already been used to successfully analyze the vibrational modes in various molecular systems and offers a new perspective…

Quantum Physics · Physics 2009-11-13 S. Mossmann , C. Jung