Roton in a few-body dipolar system

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

doi:10.1088/1367-2630/aaf295

Cited by 4 publications

(6 citation statements)

References 86 publications

(150 reference statements)

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“…Our subject of interest are the lowest energy eigenstatetes with a given total momentum, so called yrast states [21,22]. Here we will consider only the contact interaction for which the yrast states coincide with the type II solitonic elementary excitations (as shown in [23] it does not need to be the case for dipolar interactions).…”

Section: Weakly-interacting Gasmentioning

confidence: 99%

Many-body solitonlike states of the bosonic ideal gas

Ołdziejewski¹,

Górecki²,

Pawłowski³

et al. 2018

Phys. Rev. A

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We study the lowest energy states for fixed total momentum, i.e. yrast states, of N bosons moving on a ring. As in the paper of A. Syrwid and K. Sacha [1], we compare mean field solitons with the yrast states, being the many-body Lieb-Liniger eigenstates. We show that even in the limit of vanishing interaction the yrast states possess features typical for solitons, like phase jumps and density notches. These properties are simply effects of the bosonic symmetrization and are encoded in the Dicke states hidden in the yrast states.

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Section: Weakly-interacting Gasmentioning

confidence: 99%

Many-body solitonlike states of the bosonic ideal gas

Ołdziejewski¹,

Górecki²,

Pawłowski³

et al. 2018

Phys. Rev. A

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“…We select the interaction parameters so that the histograms have a similar width for attractive and repulsive scenarios. Both histograms are obtained by drawing particles' positions from the many-body probability distribution with the Metropolis algorithm and aligned by rotating them such that their center of mass point in the same direction [26]. We observe two spatially localized boundstates with completely different properties.…”

mentioning

confidence: 96%

“…In the longitudinal directionx the space is assumed to be finite, with the length L. All atoms are polarized along thex axis in head-to-tail configuration [27]. Our quasi-1D system is governed by the Hamiltonian: [26]. Note that for very small systems the peak density value is biased by our alignment method.…”

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confidence: 99%

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

et al. 2020

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We exploit a few-to many-body approach to study strongly interacting dipolar bosons in the quasi-one-dimensional system. The dipoles attract each other while the short range interactions are repulsive. Solving numerically exactly the multi-atom Schrödinger equation, we discover that such systems can exhibit not only the well known bright soliton solutions but also novel quantum droplets for a strongly coupled case. For larger systems, basing on microscopic properties of the found few-body solution, we propose a new generalization of the Gross-Pitaevskii equation (GPE) that incorporates the Lieb-Liniger energy in a local density approximation. Not only does such a framework provide an alternative mechanism of the droplet stability, but it also introduces means to further analyze this previously unexplored quantum phase. In the limiting strong repulsion case, yet another simple multi-atom model is proposed. We stress that the celebrated Lee-Huang-Yang term in the GPE is not applicable in this case.

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“…The MF regime defined in such a way is very difficult to handle in the frame of many-body analysis, which is usually limited to systems with small number of atoms N. Apart from the few existing semianalytical results [22,24,25], the majority of approaches are devoted to small systems of ≈10-20 atoms [20,21,[33][34][35][36] solved with brute force methods or around ≈100 atoms solved with sophisticated and time-consuming numerics [28,29,37,38]. Our way around these numerical difficulties is to use a natural and simple ansatz for the yrast states in the MF regime.…”

Section: The Lieb-liniger Model and Yrast Statesmentioning

confidence: 99%

Dark solitons revealed in Lieb-Liniger eigenstates

Golletz

Górecki

Ołdziejewski

et al. 2020

Phys. Rev. Research

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We study how dark solitons, i.e., solutions of one-dimensional, single-particle, nonlinear, time-dependent Schrödinger equation, emerge from eigenstates of a linear many-body model of contact-interacting bosons moving on a ring, the Lieb-Liniger model. This long-standing problem has been addressed by various groups, which presented different, seemingly unrelated, procedures to reveal the solitonic waves directly from the many-body model. Here, we propose a unification of these results using a simple ansatz for the many-body eigenstate of the Lieb-Liniger model, which gives us access to systems of hundreds of atoms. In this approach, mean-field solitons emerge in a single-particle density through repeated measurements of particle positions in the ansatz state. The postmeasurement state turns out to be a wave packet of yrast states of the reduced system.

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Roton in a few-body dipolar system

Cited by 4 publications

References 86 publications

Many-body solitonlike states of the bosonic ideal gas

Many-body solitonlike states of the bosonic ideal gas

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

Dark solitons revealed in Lieb-Liniger eigenstates

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