Interspecies tunneling in one-dimensional Bose mixtures

Pflanzer, Anika C.; Zöllner, Sascha; Schmelcher, Peter

doi:10.1103/physreva.81.023612

Cited by 30 publications

(45 citation statements)

References 44 publications

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“…Other relevant phenomena are the presence of a composite fermionized gas [34][35][36], quantum magnetism [37][38][39], or a crossover between composite fermionization and phase separation [40,41]. Also, these small number bosonic mixtures allow for the study of dynamical phenomena, like the tunneling of one species through the barrier formed by the other species [42,43] or the dynamical emergence of orthogonality catastrophe [44]. This latter, extremely appealing phenomena occurs in a system of two atoms in one species and a third atom in a second species.…”

Section: Introductionmentioning

confidence: 99%

Distinguishability, degeneracy, and correlations in three harmonically trapped bosons in one dimension

et al. 2014

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We study a system of two bosons of one species and a third atom of a second species in a one-dimensional parabolic trap at zero temperature. We assume contact repulsive inter-and intraspecies interactions. By means of an exact diagonalization method we calculate the ground and excited states for the whole range of interactions. We use discrete group theory to classify the eigenstates according to the symmetry of the interaction potential. We also propose and validate analytical Ansätze gaining physical insight over the numerically obtained wave functions. We show that, for both approaches, it is crucial to take into account that the distinguishability of the third atom implies the absence of any restriction over the wave function when interchanging this boson with any of the other two. We find that there are degeneracies in the spectra in some limiting regimes, that is, when the interspecies and/or the intraspecies interactions tend to infinity. This is in contrast with the three-identical boson system, where no degeneracy occurs in these limits. We show that, when tuning both types of interactions through a protocol that keeps them equal while they are increased towards infinity, the systems's ground state resembles that of three indistinguishable bosons. Contrarily, the systems's ground state is different from that of three-identical bosons when both types of interactions are increased towards infinity through protocols that do not restrict them to be equal. We study the coherence and correlations of the system as the interactions are tuned through different protocols, which permit us to build up different correlations in the system and lead to different spatial distributions of the three atoms.

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Section: Introductionmentioning

confidence: 99%

Distinguishability, degeneracy, and correlations in three harmonically trapped bosons in one dimension

et al. 2014

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“…The atoms are transversely confined in the y and z directions with the trap frequencies ω ⊥ . The size of the ground-state wave function in the transverse motion is a ⊥ = √h /m α ω ⊥ [26,27], where m e and m g are nearly equal. Since the transverse frequencies are much larger than the trap frequency in the x direction, the transverse motions of the atoms are frozen out.…”

Section: A Two-component Condensate Trapped In a Double-well Potentialmentioning

confidence: 99%

“…(27) in the limit of strong tunnel coupling. We express the Hamiltonian in term of the symmetric-mode and asymmetric-mode operators as H =h( − J e )e † + e + +h( + J e )e † − e − −hJ…”

Section: Appendix : Validity Of the Effective Hamiltonian In The Stromentioning

confidence: 99%

“…This effective Hamiltonian H (1) eff in Eq. (27) describes the interaction between the collective-excitation mode and the single mode of the photon field.…”

Section: A Strong-tunneling Regimementioning

confidence: 99%

“…Since the transverse frequencies are much larger than the trap frequency in the x direction, the transverse motions of the atoms are frozen out. The parametersŨ α and U eg are the effective 1D interaction strengths between the inter-, and the intracomponent condensates, as [26,27] …”

Section: A Two-component Condensate Trapped In a Double-well Potentialmentioning

confidence: 99%

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Steady-state entanglement in a double-well Bose-Einstein condensate through coupling to a superconducting resonator

Chu

2011

Phys. Rev. A

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We consider a two-component Bose-Einstein condensate in a double-well potential, where the atoms are magnetically coupled to a single mode of the microwave field inside a superconducting resonator. We find that the system has different dark-state subspaces in the strong-and weak-tunneling regimes. In the limit of weak tunnel coupling, steady-state entanglement between the two spatially separated condensates can be generated by evolving to a mixture of dark states via the dissipation of the photon field. We show that the entanglement can be faithfully indicated by an entanglement witness. Long-lived entangled states are useful for quantum-information processing with atom-chip devices.

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Solvable model of a trapped mixture of Bose–Einstein condensates

2017

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A mixture of two kinds of identical bosons held in a harmonic potential and interacting by harmonic particle-particle interactions is discussed. This is an exactly-solvable model of a mixture of two trapped Bose-Einstein condensates which allows us to examine analytically various properties.Generalizing the treatment in [Cohen and Lee, J. Math. Phys. 26, 3105 (1985)], closed form expressions for the ground-state energy, wave-function, and lowest-order densities are obtained and analyzed for attractive and repulsive intra-species and inter-species particle-particle interactions. A particular mean-field solution of the corresponding Gross-Pitaevskii theory is also found analytically. This allows us to compare properties of the mixture at the exact, many-body and mean-field levels, both for finite systems and at the limit of an infinite number of particles. We hereby prove that the exact ground-state energy and lowest-order intra-species and inter-species densities converge at the infinite-particle limit (when the products of the number of particles times the intra-species and inter-species interaction strengths are held fixed) to the results of the GrossPitaevskii theory for the mixture. Finally and on the other end, the separability of the mixture's center-of-mass coordinate is used to show that the Gross-Pitaevskii theory for mixtures is unable to describe the variance of many-particle operators in the mixture, even in the infinite-particle limit. Our analytical results show that many-body correlations exist in a mixture of Bose-Einstein condensates made of any number of particles. Implications are briefly discussed.

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Interspecies tunneling in one-dimensional Bose mixtures

Cited by 30 publications

References 44 publications

Distinguishability, degeneracy, and correlations in three harmonically trapped bosons in one dimension

Distinguishability, degeneracy, and correlations in three harmonically trapped bosons in one dimension

Steady-state entanglement in a double-well Bose-Einstein condensate through coupling to a superconducting resonator

Solvable model of a trapped mixture of Bose–Einstein condensates

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