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We report on the electronic properties of few interacting electrons confined in a parabolic quantum dot based on a theoretical approach developed to investigate the influence of Bychkov-Rashba spin-orbit (SO) interaction on such a system.…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Pekka Pietilainen , Tapash Chakraborty

We describe the properties of a pair of ultracold bosonic atoms in a one-dimensional harmonic trapping potential with a tunable zero-ranged barrier at the trap centre. The full characterisation of the ground state is done by calculating the…

Quantum Physics · Physics 2009-11-13 D. S. Murphy , J. F. McCann , J. Goold , Th. Busch

The electronic states of a parabolic quantum dot in a magnetic field are studied with the inclusion of the spin-orbit interaction. The analitycal formulae for the ground state energy of the interacting system are derived. The spin-orbit…

Condensed Matter · Physics 2009-10-28 L. Jacak , J. Krasnyj , A. Wojs

Starting from a microscopic tight-binding model and using second order perturbation theory, we derive explicit expressions for the intrinsic and Rashba spin-orbit interaction induced gaps in the Dirac-like low-energy band structure of an…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Hongki Min , J. E. Hill , N. A. Sinitsyn , B. R. Sahu , Leonard Kleinman , A. H. MacDonald

We theoretically study harmonically trapped one-dimensional Bose gases (e.g., Li, Na, K, Rb, etc.) with multibands occupied, focusing on effects of higher-energy bands. Combining the Ginzburg-Landau theory with the bosonization techniques,…

Other Condensed Matter · Physics 2008-07-22 Akiyuki Tokuno , Masahiro Sato

We consider systems of interacting bosons confined to one-dimensional harmonic traps. In the limit of perturbatively weak two-body interactions the system exhibits several universal states that are exact solutions for a large class of…

Condensed Matter · Physics 2007-05-23 Thomas Papenbrock

A spin-orbit-coupled Bose-Einstein-condensed cloud of atoms confined in an annular trapping potential shows a variety of phases that we investigate in the present study. Starting with the non-interacting problem, the homogeneous phase that…

Quantum Gases · Physics 2016-02-17 E. Ö. Karabulut , F. Malet , A. L. Fetter , G. M. Kavoulakis , S. M. Reimann

One-dimensional quantum rings with Rashba and Dresselhaus spin-orbit couplings are studied analytically and are in perfect agreement with the numerical results. The topological charge of the spin field defined by the winding number along…

Mesoscale and Nanoscale Physics · Physics 2019-11-06 Shenglin Peng , Wenchen Luo , Fangping Ouyang , Tapash Chakraborty

In this work we study interacting electrons on square lattice in the presence of strong Rashba spin-orbit interaction. The spin-orbit term forces the time-reversal electron states to be paired in even Cooper channels. For concreteness, we…

Strongly Correlated Electrons · Physics 2019-03-27 Rasoul Ghadimi , Mehdi Kargarian , S. Akbar Jafari

We study two-component Bose gases with Raman induced spin-orbit coupling via a perturbation approach at finite temperature. For weak coupling, free energy is expanded in terms of Raman coupling strength up to the second order, where the…

Quantum Gases · Physics 2016-04-01 Zeng-Qiang Yu

We derive an effective ring model in momentum space for trapped bosons with synthetic spin-orbit coupling. This effective model is characterized by a peculiar form of the inter particle interactions, which is crucially modified by the…

Quantum Gases · Physics 2014-12-31 Xing Chen , Michael Rabinovic , Brandon M. Anderson , Luis Santos

The paper studies spin-orbit interaction (i.e. the effect the spin has on the particle's trajectory in a magnetic field) as a model of quantum computation. The two-level spin quantum system is examined using the stochastic mechanics…

Mathematical Physics · Physics 2011-02-11 Gerasimos G. Rigatos

The ground state property of Yukawa Bose fluid confined in a radial harmonic trap is studied. The calculation was carried out using the density functional theory formalism within the Kohn-Sham scheme. The excess-correlation energy for this…

Other Condensed Matter · Physics 2007-09-06 K. K. Rajagopal

We study systems of a few charged bosons contained within a strongly anisotropic harmonic trap. A detailed examination of the ground-state correlation properties of two-, three-, and four-particle systems is carried out within the framework…

Quantum Physics · Physics 2012-03-15 Przemyslaw Koscik , Anna Okopinska

We study two spinless bosons interacting via two-body Gaussian potential subjected to an externally impressed rotation about an axis confined in a harmonic trap in two-spatial dimensions. We obtain a transcendental equation for the relative…

Quantum Gases · Physics 2025-12-25 Md Hamid , M. A. H. Ahsan

The Rashba spin-orbit coupling arising from structure inversion asymmetry couples spin and momentum degrees of freedom providing a suitable (and very intensively investigated) environment for spintronic effects and devices. Here we show…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Goetz Seibold , Sergio Caprara , Marco Grilli , Roberto Raimondi

Numerically we investigate the ground state of effective one-dimensional spin-orbit (SO) and Rabi coupled two pseudo-spinor Bose-Einstein condensates (BECs) under the effect of harmonic traps. For both signs of the interaction, density…

Quantum Gases · Physics 2018-01-17 Emerson Chiquillo

We investigate the weak excitations of a system made up of two condensates trapped in a Bose-Hubbard ring and coupled by an interspecies repulsive interaction. Our approach, based on the Bogoliubov approximation scheme, shows that one can…

Quantum Gases · Physics 2017-11-30 Vittorio Penna , Andrea Richaud

The fragmentation of spin-orbit coupled spin-1 Bose gas with a weak interaction in external harmonic trap is explored by both exact diagonalization and mean-field theory. This fragmentation tendency, which originates from the total angular…

Quantum Gases · Physics 2015-06-19 Shu-Wei Song , Yi-Cai Zhang , Hong Zhao , Xuan Wang , Wu-Ming Liu

We review recent theoretical developments about the role of spins, electron-electron interactions, and spin-orbit coupling in metal nanoparticles and semiconductor quantum dots. For a closed system, in the absence of spin-orbit coupling or…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuval Oreg , P. W. Brouwer , X. Waintal , Bertrand I. Halperin