Stationary states of trapped spin-orbit-coupled Bose-Einstein condensates

Ruokokoski, Emmi; Huhtamäki, Jukka; Möttönen, Mikko

doi:10.1103/physreva.86.051607

Cited by 56 publications

(69 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The oscillator lengths for 23 Na with these parameters are l 0 = 4.69 µm and l yz = 1.05 µm, whereas those for 87 Rb are l 0 = 2.41 µm and l yz = 0.54 µm. We use these values of l 0 for writing the dimensionless GP equations (6)- (7) for the trapped states, whereas for solitons l 0 = 4.69 µm in this letter.…”

Section: Results and Conclusionmentioning

confidence: 95%

“…In these two cases, wavefunctions are either purely real or imaginary and not complex. On the other hand, the component wavefunctions in the ground state solution for 23 Na obtained by using α 1 = 1/ √ 2, α 2 = i/ √ 2 are complex with non-zero real and imaginary parts. The real and imaginary parts of the component wavefunctions in this case are shown in figures 1 (c) and (d), respectively.…”

Section: Results and Conclusionmentioning

confidence: 99%

“…In a quasi-two-dimensional BEC with Rashba or Dresselhaus SO coupling, there is a circular degeneracy in the energy eigen functions of the single particle Hamiltonian [22]. Hence, depending upon the interaction parameters, more than two plane waves can also superpose resulting in different types of lattice structures in ground state density profiles [23].…”

Section: Spin-orbit-coupled Bec In Quasi-1d Trapmentioning

confidence: 99%

See 2 more Smart Citations

Mobile vector soliton in a spin–orbit coupled spin-1 condensate

Gautam¹,

Adhikari²

2015

Laser Phys. Lett.

View full text Add to dashboard Cite

Abstract. We study the formation of bound states and three-component bright vector solitons in a quasi-one-dimensional spin-orbit-coupled hyperfine spin f = 1 Bose-Einstein condensate using numerical solution and variational approximation of a mean-field model. In the antiferromagnetic domain, the solutions are timereversal symmetric, and the component densities have multi-peak structure. In the ferromagnetic domain, the solutions violate time-reversal symmetry, and the component densities have single-peak structure. The dynamics of the system is not Galelian invariant. From an analysis of Galelian invariance, we establish that the single-peak ferromagnetic vector solitons are true solitons and can move maintaining constant component densities, whereas the antiferromagnetic solitons cannot move with constant component densities.

show abstract

Section: Results and Conclusionmentioning

confidence: 95%

Section: Results and Conclusionmentioning

confidence: 99%

Section: Spin-orbit-coupled Bec In Quasi-1d Trapmentioning

confidence: 99%

See 1 more Smart Citation

Mobile vector soliton in a spin–orbit coupled spin-1 condensate

Gautam¹,

Adhikari²

2015

Laser Phys. Lett.

View full text Add to dashboard Cite

show abstract

“…Implementation of the 2D or 3D Rashba SOC would allow for the study of rich ground state physics proposed in systems of manybody fermions [56,218,[221][222][223][224][225][226][227][228][229][230][231] and bosons [130,165,219,[232][233][234][235][236][237][238][239][240][241], of which many properties have no solid-state physics analogue. This will be considered in the next Section.…”

Section: Experimental Realisation Of Spin-orbit Couplingmentioning

confidence: 99%

Light-induced gauge fields for ultracold atoms

et al. 2014

View full text Add to dashboard Cite

Abstract. Gauge fields are central in our modern understanding of physics at all scales. At the highest energy scales known, the microscopic universe is governed by particles interacting with each other through the exchange of gauge bosons. At the largest length scales, our universe is ruled by gravity, whose gauge structure suggests the existence of a particle -the graviton-that mediates the gravitational force. At the mesoscopic scale, solid-state systems are subjected to gauge fields of different nature: materials can be immersed in external electromagnetic fields, but they can also feature emerging gauge fields in their low-energy description. In this review, we focus on another kind of gauge field: those engineered in systems of ultracold neutral atoms. In these setups, atoms are suitably coupled to laser fields that generate effective gauge potentials in their description. Neutral atoms "feeling" laser-induced gauge potentials can potentially mimic the behavior of an electron gas subjected to a magnetic field, but also, the interaction of elementary particles with non-Abelian gauge fields. Here, we review different realized and proposed techniques for creating gauge potentials -both Abelian and non-Abelian -in atomic systems and discuss their implication in the context of quantum simulation. While most of these setups concern the realization of background and classical gauge potentials, we conclude with more exotic proposals where these synthetic fields might be made dynamical, in view of simulating interacting gauge theories with cold atoms.arXiv:1308.6533v3 [cond-mat.quant-gas]

show abstract

“…In the other phase, the condensate wave function is a standing wave, and it forms a spin stripe. In [16], low-energy stationary states of pseudospin-1 BECs in the presence of Rashba-Dresselhaus-type SO coupling were numerically investigated. The quantum tricriticality and phase transitions in SO coupled BECs were studied by considering a SO coupled configuration of spin-1/2 interacting bosons with equal Rashba and Dresselhaus couplings in a mean-field approximation [17].…”

Section: Introductionmentioning

confidence: 99%

Matter-waves in Bose–Einstein condensates with spin-orbit and Rabi couplings

Chiquillo¹

2015

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

Abstract. We investigate the one-dimensional (1D) and two-dimensional (2D) reduction of a quantum field theory starting from the three-dimensional (3D) manybody Hamiltonian of interacting bosons with spin-orbit (SO) and Rabi couplings. We obtain the effective time-dependent 1D and 2D nonpolynomial Heisenberg equations for both repulsive and attractive signs of the inter-atomic interaction. Our findings show that in case in which the many-body state coincides with the Glauber coherent state, the 1D and 2D Heisenberg equations become 1D and 2D nonpolynomial Schrödinger equations (NPSEs). These models were derived in a mean-field approximation from 3D Gross-Pitaevskii equation (GPE), describing a Bose-Einstein condensate (BEC) with SO and Rabi couplings. In the present work self-repulsive and self-attractive localized solutions of the 1D NPSE and the 1D GPE are obtained in a numerical form. The combined action of SO and Rabi couplings produces conspicuous sidelobes on the density profile, for both signs of the interaction. In the case of the attractive nonlinearity, an essential result is the possibility of getting an unstable condensate by increasing of SO coupling.

show abstract

Stationary states of trapped spin-orbit-coupled Bose-Einstein condensates

Cited by 56 publications

References 35 publications

Mobile vector soliton in a spin–orbit coupled spin-1 condensate

Mobile vector soliton in a spin–orbit coupled spin-1 condensate

Light-induced gauge fields for ultracold atoms

Matter-waves in Bose–Einstein condensates with spin-orbit and Rabi couplings

Contact Info

Product

Resources

About