Mean-field and stability analyses of two-dimensional flowing soft-core bosons modeling a supersolid

Kunimi, Masaya; Kato, Yasuyuki

doi:10.1103/physrevb.86.060510

Cited by 62 publications

(60 citation statements)

References 38 publications

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“…The numerical simulation presented in Figure 11 shows the occurrence of crystallization for this model in 1D for a Lennard-Jones interaction. Similar results have been observed for the potential V (r) = 1 (0,1) (r) in higher dimensions [192,135,136,4,5,245,144,130,12].…”

Section: Quantum Modelssupporting

confidence: 76%

The crystallization conjecture: a review

Blanc¹,

Lewin²

2015

EMS Surv. Math. Sci.

140

191

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In this article we describe the crystallization conjecture. It states that, in appropriate physical conditions, interacting particles always place themselves into periodic configurations, breaking thereby the natural translation-invariance of the system. This famous problem is still largely open. Mathematically, it amounts to studying the minima of a real-valued function defined on R 3N where N is the number of particles, which tends to infinity. We review the existing literature and mention several related open problems, of which many have not been thoroughly studied.

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Section: Quantum Modelssupporting

confidence: 76%

The crystallization conjecture: a review

Blanc¹,

Lewin²

2015

EMS Surv. Math. Sci.

140

191

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“…The strongly interacting nature of this system makes, however, the effects due to Bose-Einstein condensation (BEC) extremely small and no conclusive proof of supersolidity is still available in such a system [6]. More recently, systematic attempts to predict the occurrence of a supersolid phase have been carried out in atomic gases with dipolar [7][8][9] and soft core, finite range interactions [10][11][12][13][14][15]. However, these configurations have not yet been experimentally realized in the quantum degenerate phase required to observe the new effects.…”

mentioning

confidence: 99%

Superstripes and the Excitation Spectrum of a Spin-Orbit-Coupled Bose-Einstein Condensate

et al. 2013

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Using Bogoliubov theory we calculate the excitation spectrum of a spinor Bose-Einstein condensed gas with equal Rashba and Dresselhaus spin-orbit coupling in the stripe phase. The emergence of a double gapless band structure is pointed out as a key signature of Bose-Einstein condensation and of the spontaneous breaking of translational invariance symmetry. In the long wavelength limit the lower and upper branches exhibit, respectively, a clear spin and density nature. For wave vectors close to the first Brillouin zone, the lower branch acquires an important density character responsible for the divergent behavior of the structure factor and of the static response function, reflecting the occurrence of crystalline order. The sound velocities are calculated as functions of the Raman coupling for excitations propagating orthogonal and parallel to the stripes. Our predictions provide new perspectives for the identification of supersolid phenomena in ultracold atomic gases. . It is characterized by the coexistence of two spontaneously broken symmetries. The breaking of gauge symmetry gives rise to off-diagonal long-range order yielding superfluidity, while the breaking of translational invariance yields diagonal long-range order characterizing the crystalline structure. The First experimental efforts toward the search of supersolidity were carried out in solid helium [5]. The strongly interacting nature of this system makes, however, the effects due to Bose-Einstein condensation (BEC) extremely small and no conclusive proof of supersolidity is still available in such a system [6]. More recently, systematic attempts to predict the occurrence of a supersolid phase have been carried out in atomic gases with dipolar [7][8][9] and soft core, finite range interactions [10][11][12][13][14][15]. However, these configurations have not yet been experimentally realized in the quantum degenerate phase required to observe the new effects.The recent realization of spinor BECs with spin-orbit coupling [17][18][19][20] is opening new perspectives in the field. In systems with equal Rashba and Dresselhaus couplings and for small values of the Raman coupling, theory in fact predicts the occurrence of a stripe phase where translational invariance is spontaneously broken [21][22][23]. Actually these systems are periodic only in one direction and can be considered as superfluid nematic liquid crystals. Experiments are already available in the relevant range of parameters, but no direct evidence of the density modulations is still available, due to the smallness of the contrast and the microscopic distance separating consecutive stripes. A phase transition has been nevertheless detected [20] at values of the Raman coupling below which theory predicts the occurrence of the stripe phase.The purpose of this work is to show that the excitation spectrum of the gas in the stripe phase exhibits typical supersolid features, like the occurrence of two gapless bands and the divergent behavior of the static structure factor for wave vectors approach...

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“…However, the model potential of Eq. (95) is a good approximation of such more complicated real potentials in the sense that the many-body properties found for such potential do not differ qualitatively from the realistic ones [51][52][53][54]. It is important to recall that the Gaussian model potential described above does not fall in the same class of soft-core potentials.…”

Section: A 2-body Rydberg-dressed Potentials and 3-body Contact Intementioning

confidence: 99%

Excitations and stability of weakly interacting Bose gases with multibody interactions

2017

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We consider weakly interacting bosonic gases with local and non-local multi-body interactions. By using the Bogoliubov approximation, we first investigate contact interactions, studying the case in which the interparticle potential can be written as a sum of N -body δ-interactions, and then considering general contact potentials. Results for the quasi-particle spectrum and the stability are presented. We then examine non-local interactions, focusing on two different cases of 3-body nonlocal interactions. Our results are used for systems with 2-and 3-body δ-interactions and applied for realistic values of the trap parameters. Finally, the effect of conservative 3-body terms in dipolar systems and soft-core potentials (that can be simulated with Rydberg dressed atoms) is also studied.

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Mean-field and stability analyses of two-dimensional flowing soft-core bosons modeling a supersolid

Cited by 62 publications

References 38 publications

The crystallization conjecture: a review

The crystallization conjecture: a review

Superstripes and the Excitation Spectrum of a Spin-Orbit-Coupled Bose-Einstein Condensate

Excitations and stability of weakly interacting Bose gases with multibody interactions

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