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Related papers: Roton in a few-body dipolar system

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We study the large-N limit of a system of N bosons interacting with a potential of intensity 1/N. When the ground state energy is to the first order given by Hartree's theory, we study the next order, predicted by Bogoliubov's theory. We…

Mathematical Physics · Physics 2014-03-12 Mathieu Lewin , Phan Thành Nam , Sylvia Serfaty , Jan Philip Solovej

Analytic expressions have been derived for the interaction potential between dipolar bright solitons and the binding energy of a two-soliton molecule. The properties of these localized structures are explored with a focus on their behavior…

Quantum Gases · Physics 2019-05-22 B. B. Baizakov , S. M. Al-Marzoug , U. Al Khawaja , H. Bahlouli

We study systems of bosons and fermions in finite periodic boxes and show how the existence and properties of few-body resonances can be extracted from studying the volume dependence of the calculated energy spectra. Using a…

Nuclear Theory · Physics 2018-10-03 P. Klos , S. König , H. -W. Hammer , J. E. Lynn , A. Schwenk

We have studied the collective excitation of Bose-Einstein condensate of short range weak interacting atoms with spin-orbit coupling (SOC) in two dimension in liquid phase. In our study, we have included Rashba, Dresselhaus SOC as well as…

Quantum Gases · Physics 2021-04-02 Saswata Sahu , Dwipesh Majumder

The low-density expansions for the energy, chemical potential, and condensate depletion of the homogeneous dilute dipolar Bose gas are obtained by regularizing the dipole-dipole interaction at long distances. It is shown that the leading…

Quantum Gases · Physics 2020-01-01 Alexander Yu. Cherny

We present the exact diagonalization study of rotating Bose-condensed gas interacting via finite-range Gaussian potential confined in a quasi-2D harmonic trap. The system of many-body Hamiltonian matrix is diagonalized in given subspaces of…

Quantum Gases · Physics 2023-07-19 Mohd. Imran , M. A. H. Ahsan

The presence of strong interactions in a many-body quantum system can lead to a variety of exotic effects. Here we show that even in a comparatively simple setup consisting of a charged impurity in a weakly interacting bosonic medium the…

Quantum Gases · Physics 2021-05-13 G. E. Astrakharchik , L. A. Peña Ardila , R. Schmidt , K. Jachymski , A. Negretti

We consider two-dimensional dipolar bosonic gas with dipoles oriented perpendicularly to the plane in a weak random potential. We investigate analytically and numerically the condensate depletion, the one-body density-matrix, the ground…

Disordered Systems and Neural Networks · Physics 2015-08-25 Abdelaali Boudjemaa

We study universal bosonic few-body systems within the framework of effective field theory at leading order (LO). We calculate binding energies of systems of up to six particles and the atom-dimer scattering length. Convergence to the limit…

Quantum Gases · Physics 2017-01-03 Betzalel Bazak , Moti Eliyahu , Ubirajara van Kolck

We characterize the immiscibility-miscibility transition (IMT) of a two-component Bose-Einstein condensate (BEC) with dipole-dipole interactions. In particular, we consider the quasi-two dimensional geometry, where a strong trapping…

Quantum Gases · Physics 2015-06-11 Ryan M. Wilson , Christopher Ticknor , John L. Bohn , Eddy Timmermans

We consider an ultracold rotating Bose gas in a harmonic trap close to the critical angular velocity so that the system can be considered to be confined to the lowest Landau level. With this assumption we prove that the Gross-Pitaevskii…

Quantum Gases · Physics 2015-05-13 Elliott H. Lieb , Robert Seiringer , Jakob Yngvason

We diagonalize the second-quantized Hamiltonian of a one-dimensional Bose gas with a nonpoint repulsive interatomic potential and zero boundary conditions. At weak coupling the solutions for the ground-state energy $E_{0}$ and the…

Quantum Gases · Physics 2019-04-09 M. D. Tomchenko

Recent advances in optical Feshbach resonance technique have enabled the experimental investigation of atomic gases with time-dependent interaction. In this work, we study the many-body dynamics of weakly interacting bosons subject with an…

Quantum Gases · Physics 2021-08-11 Yanting Cheng , Zhe-Yu Shi

Dipolar Bose-Einstein condensates may present a rotonlike dispersion minimum, which has yet to be observed in experiments. We discuss a simple method to reveal roton excitations, based on the response of quasi-two-dimensional dipolar…

Quantum Gases · Physics 2013-09-04 M. Jona-Lasinio , K. Łakomy , L. Santos

We study a bound system of N identical bosons interacting by model pair potentials of the form V(r) = A sgn(p)r^p + B/r^2, A > 0, B >= 0. By using a variational trial function and the `equivalent 2-body method', we find explicit upper and…

Mathematical Physics · Physics 2009-10-31 Richard L. Hall

We propose an algebraic approach to elucidate the dynamic characteristics of triaxial rotor modes in nuclei by mapping a triaxial rotor Hamiltonian to the interacting boson model (IBM) one within a finite-$N$ framework. Our method unveils…

Nuclear Theory · Physics 2025-09-11 Yu Zhang , ShengNan Wang , Feng Pan , Chong Qi , J P Draayer

We present a theory for the Landau damping of low energy quasi-particles in a collisionless, quasi-2D dipolar Bose gas and produce expressions for the damping rate in uniform and non-uniform systems. Using simple energy-momentum…

Quantum Gases · Physics 2015-06-17 Stefan S. Natu , Ryan M. Wilson

We discuss effective field theory treatments of the problem of three particles interacting via short-range forces (range R >> a_2, with a_2 the two-body scattering length). We show that forming a once-subtracted scattering equation yields a…

Other Condensed Matter · Physics 2009-04-17 L. Platter , D. R. Phillips

In three dimensions, non-interacting bosons undergo Bose-Einstein condensation at a critical temperature, $T_{c}$, which is slightly shifted by $\Delta T_{\mathrm{c}}$, if the particles interact. We calculate the excitation spectrum of…

Quantum Gases · Physics 2011-10-19 Samuel C. Cormack , Dániel Schumayer , David A. W. Hutchinson

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