Rotational properties of a mixture of two Bose gases

Christensson, J.; Bargi, Sara; Kärkkäinen, Kimmo; Yu, Yongle; Kavoulakis, G. M.; Manninen, M.; Reimann, S. M.

doi:10.1088/1367-2630/10/3/033029

Cited by 12 publications

(13 citation statements)

References 25 publications

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“…The second state we find is a giant vortex which has also been predicted thermodynamically [17,18]. We find that this state forms for any set of parameters that fall within the immiscible phase but do not match the requirements for the formation of vortex sheets.…”

Section: Catastrophic and Ripple Instabilitiessupporting

confidence: 53%

“…For rotating TCBECs, interlocking vortex lattices [11] and vortex sheets [12] have been predicted theoretically, with vortex lattices being confirmed experimentally [13]. This has led to much interest in the dynamics, and collective excitations of these systems [14,15,16], and recently a number of papers have also predicted, through thermodynamic arguments, the possibility of forming giant vortices [17,18]. This large number of phenomena is due to the numerous experimental parameters that can be varied.…”

mentioning

confidence: 99%

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Dynamics of two-component Bose-Einstein condensates in rotating traps

2009

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The dynamics of two-component Bose-Einstein condensates in rotating traps is investigated. In the Thomas-Fermi limit, equations of motion are derived showing multiple static solutions for a vortex free condensate. Dynamic stability analysis of these solutions and comparison with Truncated Wigner simulations enables us to identify the regimes for which vortex states will occur. In addition, our analysis predicts centre-of-mass oscillations that are induced by interspecies interactions and affect each component separately. For attractive interspecies interactions, these oscillations lead to a stable symmetry broken state.Comment: v4: more material added. 9 pages, 6 figures v5: figures fixed v6:some rewording v7:fixed figure

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Section: Catastrophic and Ripple Instabilitiessupporting

confidence: 53%

mentioning

confidence: 99%

Dynamics of two-component Bose-Einstein condensates in rotating traps

2009

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“…Examples of the rotating droplet ground states can be seen in Fig. 4(a), and further examples can be found in [22,[36][37][38][39].…”

Section: Rotating Dropletsmentioning

confidence: 97%

Classification of the ground states and topological defects in a rotating two-component Bose-Einstein condensate

2011

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We classify the ground states and topological defects of a rotating two-component condensate when varying several parameters: the intracomponent coupling strengths, the intercomponent coupling strength and the particle numbers. No restriction is placed on the masses or trapping frequencies of the individual components. We present numerical phase diagrams which show the boundaries between the regions of coexistence, spatial separation and symmetry breaking. Defects such as triangular coreless vortex lattices, square coreless vortex lattices and giant skyrmions are classified. Various aspects of the phase diagrams are analytically justified thanks to a non-linear σ-model that describes the condensate in terms of the total density and a pseudo-spin representation.

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“…There has been much recent study of bosonic quantum Hall states. [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39] It has been shown that the vortex lattice that forms at large ν melts and that a series of FQH states appear at various filling factors, which include, for appropriately chosen interactions, Laughlin, 40 Jain, 41 Moore-Read, 42 and Read-Rezayi 43 states. While FQH effect in cold atom systems has not yet been observed in a convincing manner, substantial progress in that direction has been reported.…”

Section: Introductionmentioning

confidence: 99%

Quantum Hall effect of two-component bosons at fractional and integral fillings

Jain

2013

Phys. Rev. B

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We investigate the feasibility of many candidate quantum Hall states for two-component bosons in the lowest Landau level. We identify interactions for which spin-singlet incompressible states occur at filling factors ν = 2/3, 4/5, and 4/3, and partially spin-polarized states at filling factors 3/4 and 3/2, where "spin" serves as a generic label for the two components. We study ground states, excitations, edge states, and entanglement spectrum for systems with up to 16 bosons and construct explicit trial wave functions to clarify the underlying physics. The composite fermion theory very accurately describes the ground states as well as excitations at ν = 2/3, 4/5, and 3/4, although it is less satisfactory for the ν = 3/2 state. For ν = 4/3 a "non-Abelian spin-singlet" state, which is the exact ground state of a three-body contact interaction, has been proposed to occur even for a two-body contact interaction; our trial wave functions are very accurate for the excitations of the three-body interaction, but they do not describe the excitations of the two-body interaction very well. Instead, we find that the ν = 4/3 state is more likely to be a spin-singlet state of reverse-flux-attached composite fermions at filling ν * = 4. We also consider incompressible states at integral filling factors ν = 1 and 2. The incompressible state at ν = 1 is shown to be well described by the parton-based Jain spin-singlet wave function, and the incompressible state at ν = 2 as the spin-singlet state of reverse-flux-attached composite fermions at ν * = 2, which provides an example of the bosonic integer topological phase.

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Rotational properties of a mixture of two Bose gases

Cited by 12 publications

References 25 publications

Dynamics of two-component Bose-Einstein condensates in rotating traps

Dynamics of two-component Bose-Einstein condensates in rotating traps

Classification of the ground states and topological defects in a rotating two-component Bose-Einstein condensate

Quantum Hall effect of two-component bosons at fractional and integral fillings

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