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Ultracold polar molecules possess long-range, anisotropic, and tunable dipolar interactions, providing the opportunities to probe quantum phenomena inaccessible with existing cold gas platforms. However, experimental progress has been…

We formulate a method to study two-body correlations in a system of N identical bosons interacting via central two-body potentials. We use the adiabatic hyperspherical approach and assume a Faddeev-like decomposition of the wave function.…

Condensed Matter · Physics 2009-11-07 O. Sørensen , D. V. Fedorov , A. S. Jensen

We investigate an atomic ensemble of interacting bosons trapped in a symmetric double well potential in contact with a single tightly trapped ion which has been recently proposed [R. Gerritsma et al., Phys. Rev. Lett. 109, 080402 (2012)] as…

Quantum Gases · Physics 2016-06-08 J. M. Schurer , R. Gerritsma , P. Schmelcher , A. Negretti

We consider N trapped bosons in R 3 interacting via a pair potential w which has a long range of dipolar type. We show the convergence of the energy and of the minimizers for the many-body problem towards those of the dipolar…

Mathematical Physics · Physics 2017-03-13 Arnaud Triay

We introduce a density functional formalism to study the ground-state properties of strongly-correlated dipolar and ionic ultracold bosonic and fermionic gases, based on the self-consistent combination of the weak and the strong coupling…

Motivated by recent experimental advances in creating polar molecular gases in the laboratory, we theoretically investigate the many body effects of two-dimensional dipolar systems with the anisotropic and $1/r^3$ dipole-dipole…

Quantum Gases · Physics 2010-12-20 Qiuzi Li , E. H. Hwang , S. Das Sarma

When describing the low-energy physics of bosons in a double-well potential with a high barrier between the wells and sufficiently weak atom-atom interactions, one can to a good approximation ignore the high energy states and thereby obtain…

Quantum Gases · Physics 2018-01-16 Jacek Dobrzyniecki , Xikun Li , Anne E. B. Nielsen , Tomasz Sowiński

We consider dipolar interactions between heteronuclear molecules in a low-dimensional setup consisting of two one-dimensional tubes. We demonstrate that attraction between molecules in different tubes can overcome intratube repulsion and…

Quantum Gases · Physics 2011-08-16 B. Wunsch , N. T. Zinner , I. B. Mekhov , S. -J. Huang , D. -W. Wang , E. Demler

We develop a variational approach at finite temperature that incorporates many-body correlation self-consistently. The grand potential is constructed in terms of Green's function expressed by the variational parameters. We apply this…

Quantum Gases · Physics 2019-05-30 Akimitsu Kirikoshi , Wataru Kohno , Takafumi Kita

Strongly interacting systems of dipolar bosons in three dimensions confined by harmonic traps are analyzed using the exact Path Integral Ground State Monte Carlo method. By adding a repulsive two-body potential, we find a narrow window of…

Quantum Gases · Physics 2016-11-15 A. Macia , J. Sánchez-Baena , J. Boronat , F. Mazzanti

Using the Lindblad approach we develop a general formalism for theoretical description of a spatially inhomogeneous bosonic system with dissipation provided by the interaction of bosons with a phonon bath. We apply our results to model the…

Mesoscale and Nanoscale Physics · Physics 2013-03-15 I. G. Savenko , E. B. Magnusson , I. A. Shelykh

Positron binding energies in halogenated hydrocarbons are calculated \emph{ab initio} using many-body theory. For chlorinated molecules, including planars for which the interaction is highly anisotropic, very good to excellent agreement…

Chemical Physics · Physics 2024-04-24 J. P. Cassidy , J. Hofierka , B. Cunningham , C. M. Rawlins , C. H. Patterson , D. G. Green

We present a theoretical description of the coupling between longitudinal optical phonons and collective excitations of a two-dimensional electron gas. By diagonalizing the Hamiltonian of the system, including Coulomb electron-electron and…

Mesoscale and Nanoscale Physics · Physics 2020-02-21 Sofia Ribeiro , Angela Vasanelli , Yanko Todorov , Carlo Sirtori

Quantum gases of ultracold polar molecules have novel properties because of the strong dipolar forces between molecules. Current experiments shield the molecules from destructive collisions by engineering long-range repulsive interactions…

Quantum Gases · Physics 2025-09-26 Bijit Mukherjee , Luis Santos , Jeremy M. Hutson

Using a separable many-body variational wavefunction, we formulate a self-consistent effective Hamiltonian theory for fermionic many-body system. The theory is applied to the two-dimensional Hubbard model as an example to demonstrate its…

Strongly Correlated Electrons · Physics 2019-10-29 Xindong Wang , Hai-Ping Cheng

We consider a ring-shaped triple-well potential with few polar bosons with in-plane dipole orientation. By diagonalizing the extended Bose-Hubbard Hamiltonian, we investigate the ground state properties of the system as we rotate the dipole…

Introducing low-energy effective Hamiltonians is usual to grasp most correlations in quantum many-body problems. For instance, such effective Hamiltonians can be treated at the mean-field level to reproduce some physical properties of…

Quantum Gases · Physics 2025-01-09 Raphaël Photopoulos , Antoine Boulet

We investigate the many-body behavior of polaritons formed from electron-hole pairs strongly coupled to photons in a two-dimensional semiconductor microcavity. We use a microscopic mean-field BCS theory that describes polariton condensation…

Mesoscale and Nanoscale Physics · Physics 2023-09-27 Ned Goodman , Brendan C. Mulkerin , Jesper Levinsen , Meera M. Parish

The method of many-body Green's functions is developed for arbitrary systems of electrons and nuclei starting from the full (beyond Born-Oppenheimer) Hamiltonian of Coulomb interactions and kinetic energies. The theory presented here…

Other Condensed Matter · Physics 2020-06-23 Ville J. Härkönen , Robert van Leeuwen , E. K. U. Gross

The main properties and methods of describing dipolar and spinor atomic systems, composed of bosonic atoms or molecules, are reviewed. The general approach for the correct treatment of Bose-condensed atomic systems with nonlocal interaction…

Quantum Gases · Physics 2018-05-09 V. I. Yukalov
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