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We report a quantum Monte Carlo (QMC) study, on a very simple but nevertheless very instructive model system of four hydrogen atoms, recently proposed in Ref. 1. We find that the Jastrow correlated Antisymmetrized Geminal Power (JAGP) is…

Chemical Physics · Physics 2019-05-22 Claudio Genovese , Antonella Meninno , Sandro Sorella

A new variational technique is developed to investigate the polaronic features of the Holstein Molecular Crystal Model. It is based on a linear superposition of Bloch states that describe large and small polaron wave functions. It is shown…

Materials Science · Physics 2009-10-31 V. Cataudella , G. De Filippis , G. Iadonisi

We show that two-component Bose-Einstein condensed mixtures, in presence of a persistent current, exhibit a non trivial Doppler shift of the sound velocities. The peculiarity is due to the inter-species interaction and the possibility of…

Quantum Gases · Physics 2025-12-16 Tomasz Zawiślak , Sandro Stringari , Alessio Recati

We perform a theoretical analysis of atomic four-wave mixing via a collision of two Bose-Einstein condensates of metastable helium atoms, and compare the results to a recent experiment. We calculate atom-atom pair correlations within the…

Transcorrelated coupled cluster and distinguishable cluster methods are presented. The Hamiltonian is similarity transformed with a Jastrow factor in the first quantisation, which results in up to three-body integrals. The coupled cluster…

Chemical Physics · Physics 2021-12-22 Thomas Schraivogel , Aron J. Cohen , Ali Alavi , Daniel Kats

Quantum mechanical few-body systems in reduced dimensionalities can exhibit many interesting properties such as scale-invariance and universality. Analytical descriptions are often available for integer dimensionality, however, numerical…

Quantum Gases · Physics 2019-07-24 F. S. Møller , D. V. Fedorov , A. S. Jensen , N. T. Zinner

We demonstrate the accuracy of ground-state energies of the transcorrelated Hamiltonian, employing sophisticated Jastrow factors obtained from variational Monte Carlo, together with the coupled cluster and distinguishable cluster methods at…

The combination of two-dimensional materials into heterostructures offers new opportunities for the design of optoelectronic devices with tunable properties. However, computing electronic and optical properties of such systems using…

Materials Science · Physics 2025-07-25 Maximilian Schebek , Ignacio Gonzalez Oliva , Claudia Draxl

The dielectric properties of molecules or nanostructures are usually modified in a complex manner, when assembled into a condensed phase. We propose a first-principles method to compute polarizabilities of sub-entities of solids and…

Chemical Physics · Physics 2018-09-10 Ding Pan , Marco Govoni , Giulia Galli

We introduce a method for solving a self consistent electronic calculation within localized atomic orbitals, that allows us to converge to the complete basis set (CBS) limit in a stable, controlled, and systematic way. We compare our…

Strongly Correlated Electrons · Physics 2015-05-19 S. Azadi , C. Cavazzoni , S. Sorella

We show that for both single-Slater-Jastrow and Jastrow geminal power wave functions, the formal cost scaling of Hilbert space variational Monte Carlo can be reduced from fifth to fourth order in the system size, thus bringing it in line…

Strongly Correlated Electrons · Physics 2018-12-05 Haochuan Wei , Eric Neuscamman

A method to study weakly bound three-body quantum systems in two dimensions is formulated in coordinate space for short-range potentials. Occurrences of spatially extended structures (halos) are investigated. Borromean systems are shown to…

Quantum Physics · Physics 2009-10-30 E. Nielsen , D. V. Fedorov , A. S. Jensen

In this paper we study a mixed system of bosons and fermions with up to six particles in total. All particles are assumed to have the same mass. The two-body interactions are repulsive and are assumed to have equal strength in both the…

Quantum Gases · Physics 2017-06-20 A. S. Dehkharghani , F. F. Bellotti , N. T. Zinner

Modern quantum Monte Carlo (QMC) methods often capture electron correlation through both explicitly correlating Jastrow factors and small to mid-sized configuration interaction (CI) expansions. Here, we study the additional optimization…

Chemical Physics · Physics 2023-02-08 Scott M. Garner , Eric Neuscamman

The ground state properties and low-lying excitations of a (quasi) one-dimensional system of longitudinally confined interacting bosons are studied. This is achieved by extending Haldane's harmonic-fluid description to open boundary…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. A. Cazalilla

One-dimensional Bose gases present an interesting setting to study the physics of Bose polarons, as density fluctuations play an enhanced role due to reduced dimensionality. Theoretical descriptions of this system have predominantly relied…

Quantum Gases · Physics 2025-10-06 T. Alper Yoğurt , Matthew T. Eiles

We introduce time-dependent variational Monte Carlo for continuous-space Bose gases. Our approach is based on the systematic expansion of the many-body wave-function in terms of multi-body correlations and is essentially exact up to…

Quantum Gases · Physics 2017-08-16 Giuseppe Carleo , Lorenzo Cevolani , Laurent Sanchez-Palencia , Markus Holzmann

The well-known results concerning a dilute Bose gas with the short-range repulsive interaction should be reconsidered due to a thermodynamic inconsistency of the method being basic to much of the present understanding of this subject and…

Statistical Mechanics · Physics 2007-05-23 A. Yu. Cherny , A. A. Shanenko

We report on the Bose-Einstein condensation of metastable Helium-4 atoms using a hybrid approach, consisting of a magnetic quadrupole and a crossed optical dipole trap. In our setup we cross the phase transition with 2x10^6 atoms, and we…

Quantum Gases · Physics 2015-06-23 Q. Bouton , R. Chang , A. L. Hoendervanger , F. Nogrette , A. Aspect , C. I. Westbrook , D. Clément

A method is developed that allows analysis of quantum Monte Carlo simulations to identify errors in trial wave functions. The purpose of this method is to allow for the systematic improvement of variational wave functions by identifying…

Strongly Correlated Electrons · Physics 2016-08-03 Kiel T. Williams , Lucas K. Wagner