Strongly Correlated Quantum Droplets in Quasi-1D Dipolar Bose Gas

Ołdziejewski, Rafał; Górecki, Wojciech; Pawłowski, Krzysztof; Rza̧żewski, Kazimierz

doi:10.1103/physrevlett.124.090401

Cited by 30 publications

(24 citation statements)

References 40 publications

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“…Knowledge of the dependence of the variational ground state energy on the density will permit to consider the effect of longitudinal harmonic trapping, in particular to compute the frequencies of the breathing modes. [68][69][70][71] This will be the object of a future work. The variational method can be applied to other systems of interest such as atoms interacting via shoulder potentials 72 or power law interactions.…”

Section: Discussionmentioning

confidence: 99%

Variational Bethe ansatz approach for dipolar one-dimensional bosons

Palo¹,

Citro²,

Orignac³

2020

Phys. Rev. B

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We propose a variational approximation to the ground state energy of a one-dimensional gas of interacting bosons on the continuum based on the Bethe Ansatz ground state wavefunction of the Lieb-Liniger model. We apply our variational approximation to a gas of dipolar bosons in the single mode approximation and obtain its ground state energy per unit length. This allows for the calculation of the Tomonaga-Luttinger exponent as a function of density and the determination of the structure factor at small momenta. Moreover, in the case of attractive dipolar interaction, an instability is predicted at a critical density, which could be accessed in lanthanide atoms. PACS numbers:arXiv:1910.05965v2 [cond-mat.quant-gas]

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Section: Discussionmentioning

confidence: 99%

Variational Bethe ansatz approach for dipolar one-dimensional bosons

Palo¹,

Citro²,

Orignac³

2020

Phys. Rev. B

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“…We simulated the collisions, and the corresponding initial conditions for Eq. (1) were taken as (12) where ψ(x) represents the stationary shape of symmetric QDs, and k is a kick determining the velocity of QDs. This ansatz approximates a solution comprising two initial QDs located at −x 0 and x 0 .…”

Section: Collisions Of Pt -Symmetric Quantum Dropletsmentioning

confidence: 99%

Stability and collisions of quantum droplets in PT-symmetric dual-core couplers

Zhou

Zhu

Wang

et al. 2020

Communications in Nonlinear Science and Numerical Simulation

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We study the effect of the interplay between parity-time (PT) symmetry and optical lattice (OL) potential on dynamics of quantum droplets (QDs) forming in a binary bosonic condensate trapped in a dual-core system. It is found that the stability of symmetric QDs in such non-Hermitian system depends critically on the competition of gain and loss γ, inter-core coupling κ, and OL potential. In the absence of OL potential, the PT-symmetric QDs are unstable against symmetry-breaking perturbations with the increase of the total condensate norm N , and they retrieve the stability at larger N , in the weakly-coupled regime. As expected, the stable region of the PT-symmetric QDs shrinks when γ increases, i.e., the PT symmetry is prone to break the stability of QDs. There is a critical value of κ beyond which the PT-symmetric QDs are entirely stable in the unbroken PT-symmetric phase. In the presence of OL potential, the PT-symmetric on-site QDs are still stable for relatively small and large values of N. Nevertheless, it is demonstrated that the OL potential can assist stabilization of PT-symmetric on-site QDs for some moderate values of N. On the other hand, it is worth noting that the relatively small PT-symmetric off-site QDs are unstable, and only the relatively large ones are stable. Furthermore, collisions between stable PT-symmetric QDs are considered too. It is revealed that the slowly moving PT-symmetric QDs tend to merge into breathers, while the fast-moving ones display quasi-elastic collision and suffer fragmentation for small and large values of N , respectively.

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“…Nevertheless, in one dimension, both dipolar and Bose-Bose mixtures have been investigated already by using ab-initio approaches like Monte-Carlo or exact diagonalization, for example in Refs. [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

“…Similar extensions served to study ground state properties as well as collective excitations of strongly interacting gas in a harmonic trap [35,36] and dynamics of shock waves [37,38]. Finally, alternatives of the GPE for strongly interacting dipolar systems have been proposed [23,39] and have already shown usefulness in timely topics like dipolar quantum droplets [23,40].…”

Section: Introductionmentioning

confidence: 99%

“…To assess the validity scope of the effective approach employed in this work, we focus on the system described by the LL model. We will benchmark the ground state and its elementary excitations inferred from the effective non-linear approach [23,31,34], called here the Lieb-Liniger Gross-Pitaevski equation (LLGPE), against the corresponding solutions of the LL model [26,27] to test the validity range of the former. Our equation has the form of the GPE but with the nonlinearity from the exact results for the Lieb-Liniger model, see Fig.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Beyond Gross-Pitaevskii equation for 1D gas: quasiparticles and solitons

Kopyciński¹,

Łebek²,

Marciniak³

et al. 2022

SciPost Phys.

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Describing properties of a strongly interacting quantum many-body system poses a serious challenge both for theory and experiment. In this work, we study excitations of one-dimensional repulsive Bose gas for arbitrary interaction strength using a hydrodynamic approach. We use linearization to study particle (type-I) excitations and numerical minimization to study hole (type-II) excitations. We observe a good agreement between our approach and exact solutions of the Lieb-Liniger model for the particle modes and discrepancies for the hole modes. Therefore, the hydrodynamical equations find to be useful for long-wave structures like phonons and of a limited range of applicability for short-wave ones like narrow solitons. We discuss potential further applications of the method.

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Strongly Correlated Quantum Droplets in Quasi-1D Dipolar Bose Gas

Cited by 30 publications

References 40 publications

Variational Bethe ansatz approach for dipolar one-dimensional bosons

Variational Bethe ansatz approach for dipolar one-dimensional bosons

Stability and collisions of quantum droplets in PT-symmetric dual-core couplers

Beyond Gross-Pitaevskii equation for 1D gas: quasiparticles and solitons

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