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A time-dependent multiconfigurational self-consistent field theory is presented to describe the many-body dynamics of a gas of identical bosonic atoms confined to an external trapping potential at zero temperature from first principles. A…

Other Condensed Matter · Physics 2007-10-16 David J. Masiello , William P. Reinhardt

We propose a new approach for the study of the time evolution of a factorized $N$-particle bosonic wave function with respect to a mean-field dynamics with a bounded interaction potential. The new technique, which is based on the control of…

Mathematical Physics · Physics 2009-11-13 Laszlo Erdos , Benjamin Schlein

A novel lattice Boltzmann (LB) model for multiphase flows is developed that complies with the thermodynamic foundations of kinetic theory. By directly devising the collision term for LB equation at the discrete level, a self-tuning equation…

Computational Physics · Physics 2019-02-13 Rongzong Huang , Huiying Wu , Nikolaus A. Adams

Molecular quantum magnets adsorbed on surfaces exhibit rich spin and orbital excitations that can be probed by scanning tunneling microscopy with inelastic electron tunneling spectroscopy (STM-IETS). However, the quantitative extraction of…

Mesoscale and Nanoscale Physics · Physics 2026-01-28 Greta Lupi , Adolfo O. Fumega , Mohammad Amini , Robert Drost , Peter Liljeroth , Jose L. Lado

We report successful implementation of the time-dependent second-order many-body perturbation theory using optimized orthonormal orbital functions called time-dependent optimized second-order many-body perturbation theory [TD-OMP2] to reach…

Chemical Physics · Physics 2020-08-26 Himadri Pathak , Takeshi Sato , Kenichi L. Ishikawa

We present a new paradigm for the dynamical simulation of interacting many-boson open quantum systems. The method relies on a variational ansatz for the $n$-boson density matrix, in terms of a superposition of photon-added coherent states.…

Quantum Physics · Physics 2023-06-27 David S. Schlegel , Fabrizio Minganti , Vincenzo Savona

Modeling the non-equilibrium dissipative dynamics of strongly interacting quantized degrees of freedom is a fundamental problem in several branches of physics and chemistry. We implement a quantum state trajectory scheme for solving…

Quantum Physics · Physics 2023-03-17 Johan F. Triana , Felipe Herrera

A model of two-species bosons moving on the sites of a lattice is studied at nonzero temperature, focusing on magnetic order and superfluid-insulator transitions. Firstly, Landau theory is used to find the general structure of the phase…

Statistical Mechanics · Physics 2009-05-10 Stephen Powell

We develop a variational method to obtain many-body ground states of the Bose-Hubbard model using feedforward artificial neural networks. A fully-connected network with a single hidden layer works better than a fully-connected network with…

Disordered Systems and Neural Networks · Physics 2018-01-17 Hiroki Saito , Masaya Kato

Hamiltonian and Schrodinger evolution equations on finite-dimensional projective space are analyzed in detail. Hartree-Fock (HF) manifold is introduced as a submanifold of many electron projective space of states. Evolution equations, exact…

Chemical Physics · Physics 2011-11-10 A. I. Panin

In distributed quantum sensing the correlations between multiple modes, typically of a photonic system, are utilized to enhance the measurement precision of an unknown parameter. In this work we investigate the metrological potential of a…

Quantum Physics · Physics 2023-03-29 Jose Carlos Pelayo , Karol Gietka , Thomas Busch

Recently, the use of neural quantum states for describing the ground state of many- and few-body problems has been gaining popularity because of their high expressivity and ability to handle intractably large Hilbert spaces. In particular,…

Disordered Systems and Neural Networks · Physics 2020-11-09 Vladimir Vargas-Calderón , Herbert Vinck-Posada , Fabio A. González

Multivariate long-term time series forecasting (LTSF) supports critical applications such as traffic-flow management, solar-power scheduling, and electricity-transformer monitoring. The existing LTSF paradigms follow a three-stage pipeline…

Machine Learning · Computer Science 2026-02-03 Hyekyung Yoon , Minhyuk Lee , Imseung Park , Myungjoo Kang

We determine the ground-state properties of a gas of interacting bosonic atoms in a one-dimensional optical lattice. The system is modelled by the Bose-Hubbard Hamiltonian. We show how to apply the time-evolving block decimation method to…

Other Condensed Matter · Physics 2013-07-16 Ippei Danshita , Pascal Naidon

We introduce an individually fitted screened-exchange interaction for the time-dependent Hartree-Fock (TDHF) method and show that it resolves the missing binding energies in polymethine organic dye molecules compared to time-dependent…

Chemical Physics · Physics 2024-06-21 Nadine C. Bradbury , Barry Y. Li , Tucker Allen , Justin R. Caram , Daniel Neuhauser

In the present work, we consider multi-scale computation and convergence for nonlinear time-dependent thermo-mechanical equations of inhomogeneous shells possessing temperature-dependent material properties and orthogonal periodic…

Numerical Analysis · Mathematics 2023-08-23 Hao Dong , Xiaofei Guan , Yufeng Nie

This work develops a quantum control application of many-body quantum chaos for ultracold bosonic gases trapped in optical lattices. It is long known how to harness exponential sensitivity to changes in initial conditions for control…

Describing time-dependent many-body systems where correlation effects play an important role remains a major theoretical challenge. In this paper we develop a time-dependent many-body theory that is based on the two-particle reduced density…

On the base of a Feynman-Kac--type formula involving Poisson stochastic processes, recently a Monte Carlo algorithm has been introduced, which describes exactly the real- or imaginary-time evolution of many-body lattice quantum systems. We…

Other Condensed Matter · Physics 2011-07-19 Massimo Ostilli , Carlo Presilla

We use the Bose-Hubbard model with an effective infinite-range interaction to describe the correlated lattice bosons in an optical cavity. We study both static and spectral properties of such system within the bosonic dynamical mean-field…

Quantum Gases · Physics 2017-03-08 Jaromir Panas , Anna Kauch , Krzysztof Byczuk