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The accurate computational determination of chemical, materials, biological, and atmospheric properties has critical impact on a wide range of health and environmental problems, but is deeply limited by the computational scaling of…

Chemical Physics · Physics 2021-06-09 Debadrita Saha , Srinivasan S. Iyengar , Philip Richerme , Jeremy M. Smith , Amr Sabry

A common approach to modeling dispersion interactions and overcoming the inaccurate description of long-range correlation effects in electronic structure calculations is the use of pairwise-additive potentials, as in the…

Materials Science · Physics 2024-07-10 Heikki Muhli , Tapio Ala-Nissila , Miguel A. Caro

We present an arbitrarily high-order, conditionally stable, partitioned spectral deferred correction (SDC) method for solving multiphysics problems using a sequence of pre-existing single-physics solvers. This method extends the work in [1,…

Numerical Analysis · Mathematics 2020-04-07 Daniel Z. Huang , Will Pazner , Per-Olof Persson , Matthew J. Zahr

In this study, a variety of methods are tested and compared for the numerical solution of the Schr\"odinger equation for few-body systems with explicitely time-dependent Hamiltonians, with the aim to find the optimal one. The configuration…

Quantum Physics · Physics 2013-02-01 Jonas C. Cremon

Accurate exchange-correlation (XC) potentials are essential for density functional theory, yet reliable approximations remain challenging for strongly correlated systems. In this work, we present a quantum algorithmic framework to determine…

Strongly Correlated Electrons · Physics 2026-03-18 H. Arslan Hashim , Volodymyr M. Turkowski , Eduardo R. Mucciolo

We derive a novel lattice Hamiltonian, the \emph{Molecular Hubbard Hamiltonian} (MHH), which describes the essential many body physics of closed-shell ultracold heteronuclear molecules in their absolute ground state in a…

Other Condensed Matter · Physics 2010-05-06 M. L. Wall , L. D. Carr

Many chemical systems cannot be described by quantum chemistry methods based on a singlereference wave function. Accurate predictions of energetic and spectroscopic properties require a delicate balance between describing the most important…

Chemical Physics · Physics 2018-06-12 Erik Donovan Hedegård , Julien Toulouse , Hans Jørgen Aagaard Jensen

A self-contained pedagogical introduction to the functional Schr\"{o}dinger picture method of many-body theory is given at a level suitable for graduate students and also for many-body physicists who have not been exposed to the functional…

Strongly Correlated Electrons · Physics 2007-05-23 Chul Koo Kim , Sang Koo You

Variational quantum algorithms have emerged as a powerful tool for harnessing the potential of near-term quantum devices to address complex challenges across quantum science and technology. Yet, the robust and scalable quantification of…

Quantum Physics · Physics 2025-10-21 Vahid Azimi-Mousolou , Prashant Singh

Accurate electronic structure calculations might be one of the most anticipated applications of quantum computing.The recent landscape of quantum simulations within the Hartree-Fock approximation raises the prospect of substantial theory…

Quantum Physics · Physics 2023-08-04 Junxu Li , Xingyu Gao , Manas Sajjan , Ji-Hu Su , Zhao-Kai Li , Sabre Kais

We developed a general theoretical approach and a user-ready computer code that permit to study the dynamics of collisional energy transfer and ro-vibrational energy exchange in complex molecule-molecule collisions. The method is a mixture…

Chemical Physics · Physics 2024-02-06 Carolin Joy , Bikramaditya Mandal , Dulat Bostan , Marie-Lise Dubernet , Dmitri Babikov

Quantum chemistry and condensed matter physics are among the most promising applications of quantum computers. Further, estimating properties of a material is crucial to evaluate its industrial applications. To investigate charge…

Quantum Physics · Physics 2026-02-19 Erik Schultheis , Alexander Rehn , Gabriel Breuil

Understanding and characterising quantum many-body dynamics remains a significant challenge due to both the exponential complexity required to represent quantum many-body Hamiltonians, and the need to accurately track states in time under…

Quantum Physics · Physics 2024-08-19 Timothy Heightman , Edward Jiang , Antonio Acín

Computing excited states of many-body quantum Hamiltonians is a fundamental challenge in computational physics and chemistry, with state-of-the-art methods broadly classified into variational (critical point search) and linear response…

Chemical Physics · Physics 2026-02-27 Laura Grazioli , Yukuan Hu , Eric Cancès

The growing interest in using x-ray spectroscopy for refined materials characterization calls for accurate electronic-structure theory to interpret x-ray near-edge fine structure. In this work, we propose an efficient and unified framework…

Materials Science · Physics 2018-05-30 Yufeng Liang , David Prendergast

The ab-initio many-body method suggested in the preceding paper is applied to the 3d transition metals Fe, Co, Ni, and Cu. We use a linearized muffin-tin orbital calculation to determine Bloch functions for the Hartree one-particle…

Condensed Matter · Physics 2007-05-23 I. Schnell , G. Czycholl , R. C. Albers

This paper proposes a new multiple-scattering frequency-time hybrid (FTH-MS) integral equation solver for problems of wave scattering by obstacles in two dimensional space, including interior problems in closed cavities and problems…

Numerical Analysis · Mathematics 2025-07-09 Shuai Pan , Gang Bao , Tao Yin , Oscar P. Bruno

The out-of-equilibrium quantum dynamics of a Bose gas trapped in an asymmetric double well and interacting with a finite-range interaction has been studied in real space by solving the time-dependent many-body Schr\"odinger equation…

Quantum Gases · Physics 2019-05-21 Sudip Kumar Haldar , Ofir E Alon

Here we study the dynamics of many-body quantum systems using time dependent quantum Monte Carlo method where the evolution is described by ensembles of particles and guide waves. The exponential-time scaling inherent to the quantum…

Atomic Physics · Physics 2025-01-28 Ivan P. Christov

We introduce a method to simulate open quantum many-body dynamics by combining time-dependent variational Monte Carlo (tVMC) with quantum trajectory techniques. Our approach unravels the Lindblad master equation into an ensemble of…

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