Roton Excitations and the Fluid–Solid Phase Transition in Superfluid 2D Yukawa Bosons

Molinelli, S.; Galli, D. E.; Reatto, L.; Motta, Mário

doi:10.1007/s10909-016-1628-3

Cited by 7 publications

(6 citation statements)

References 53 publications

(176 reference statements)

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“…We extract the dynamical structure factor from the integral relation F (q, τ ) = e −ωτ S(q, ω)dω. When a parametric model for S(q, ω), and thus F (q, τ ), is reliable, we solve the previous relation with a fit of F (q, τ ), otherwise we use the Genetic Inversion via Falsification of Theories (GIFT) [21,22] algorithm, which is a wellestablished statistical analytic continuation approach [22,23,24,25,26,27,28,29].…”

Section: Resultsmentioning

confidence: 99%

Microscopic Study of Static and Dynamical Properties of Dilute One-Dimensional Soft Bosons

2017

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We study static properties and the dynamical structure factor of zero-temperature dilute bosons interacting via a soft-shoulder potential in one dimension. Our approach is fully microscopic and employs state-of-theart quantum Monte Carlo and analytic continuation techniques. By increasing the interaction strength, our model reproduces the Lieb-Liniger gas, the Tonks-Girardeau and the Hard-Rods models.

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Section: Resultsmentioning

confidence: 99%

Microscopic Study of Static and Dynamical Properties of Dilute One-Dimensional Soft Bosons

2017

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“…The GIFT method has been applied to the study of liquid 4 He [28,82,83], 3D hard spheres [67], 2D Yukawa Bosons [84], liquid 3 He [65], 2D soft disks [85,86], the 2D Hubbard model [87] and 1D soft rods [88], in all cases providing very accurate reconstructions of S(q, ω) or the single particle spectral function. Recently [28], we have shown that in 1D, when ω th (q) is known, also the shape close to the frequency threshold can be approximately inferred.…”

Section: Methodsmentioning

confidence: 99%

Dynamical structure factor of one-dimensional hard rods

et al. 2016

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The zero-temperature dynamical structure factor $S(q,\omega)$ of one-dimensional hard rods is computed using state-of-the-art quantum Monte Carlo and analytic continuation techniques, complemented by a Bethe Ansatz analysis. As the density increases, $S(q,\omega)$ reveals a crossover from the Tonks-Girardeau gas to a quasi-solid regime, along which the low-energy properties are found in agreement with the nonlinear Luttinger liquid theory. Our quantitative estimate of $S(q,\omega)$ extends beyond the low-energy limit and confirms a theoretical prediction regarding the behavior of $S(q,\omega)$ at specific wavevectors $\mathcal{Q}_n=n 2 \pi/a$, where $a$ is the core radius, resulting from the interplay of the particle-hole boundaries of suitably rescaled ideal Fermi gases. We observe significant similarities between hard rods and one-dimensional $^4$He at high density, suggesting that the hard-rods model may provide an accurate description of dense one-dimensional liquids of quantum particles interacting through a strongly repulsive, finite-range potential.Comment: 13 pages, 9 figure

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“…We furthermore see the existence of additional density oscillations around the vortex core, which are themselves expected once a roton minimum is included in the picture. This is a well-known phenomenon [31,33,[38][39][40][41], for which density oscillations are prescribed by the characteristic shape and size of the roton minimum. We represent in the inset of Fig.…”

Section: A Detour Through the Numerical Estimation Of Axisymmetrmentioning

confidence: 99%

Structure, dynamics, and reconnection of vortices in a nonlocal model of superfluids

2018

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We study the reconnection of vortices in a quantum fluid with a roton minimum, by numerically solving the Gross-Pitaevskii (GP) equations. A non-local interaction potential is introduced to mimic the experimental dispersion relation of superfluid 4 He. We begin by choosing a functional shape of the interaction potential that allows to reproduce in an approximative way the so-called roton minimum observed in experiments, without leading to spurious local crystallization events. We then follow and track the phenomenon of reconnection starting from a set of two perpendicular vortices. A precise and quantitative study of various quantities characterizing the evolution of this phenomenon is proposed: this includes the evolution of statistics of several hydrodynamical quantities of interest, and the geometrical description of a observed helical wave packet that propagates along the vortex cores. Those geometrical properties are systematically compared to the predictions of the Local Induction Approximation (LIA), showing similarities and differences. The introduction of the roton minimum in the model does not change the macroscopic properties of the reconnection event but the microscopic structure of the vortices differs. Structures are generated at the roton scale and helical waves are evidenced along the vortices. However, contrary to what is expected in classical viscous or inviscid incompressible flows, the numerical simulations do not evidence the generation of structures at smaller or larger scales than the typical atomic size.

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Roton Excitations and the Fluid–Solid Phase Transition in Superfluid 2D Yukawa Bosons

Cited by 7 publications

References 53 publications

Microscopic Study of Static and Dynamical Properties of Dilute One-Dimensional Soft Bosons

Microscopic Study of Static and Dynamical Properties of Dilute One-Dimensional Soft Bosons

Dynamical structure factor of one-dimensional hard rods

Structure, dynamics, and reconnection of vortices in a nonlocal model of superfluids

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