Subdiffusion of Dipolar Gas in One-Dimensional Quasiperiodic Potentials

Abstract

Considering the discrete nonlinear Schrödinger model with dipole-dipole interactions (DDIs), we comparatively and numerically study the effects of contact interaction, DDI and disorder on the properties of diffusion of dipolar condensate in one-dimensional quasi-periodic potentials. Due to the coupled effects of the contact interaction and the DDI, some new and interesting mechanisms are found: both the DDI and the contact interaction can destroy localization and lead to a subdiffusive growth of the second moment of the wave packet. However, compared with the contact interaction, the effect of DDI on the subdiffusion is stronger. Furthermore and interestingly, we find that when the contact interaction (𝜆1) and DDI (𝜆2) satisfy 𝜆1 2𝜆2, the property of the subdiffusion depends only on contact interaction; when 𝜆1 2𝜆2, the property of the subdiffusion is completely determined by DDI. Remarkably, we numerically give the critical value of disorder strength 𝑣* for different values of contact interaction and DDI. When the disorder strength 𝑣 ≥ 𝑣*, the wave packet is localized. On the contrary, when the disorder strength 𝑣 ≤ 𝑣*, the wave packet is subdiffusive.

Control of anomalous diffusion of a Bose polaron

“…The open quantum system approach has been used recently in the context of ultracold quantum gases to study the diffusion of an impurity and two impurities in a BEC [35][36][37], for the movement of a bright soliton in a superfluid in one dimension [38], see also [39][40][41]). On the other hand, the effect of contact interactions, dipole-dipole interactions and disorder on the diffusion properties of 1D dipolar two-component condensates were studied in [42], identifying again the conditions for subdiffusion. The study of the diffusive behavior of a 2D two-component BEC in a disordered potential was undertaken in [43].…”

Predicted Critical State Based on Invariance of the Lyapunov Exponent in Dual Spaces

“…What we need to emphasize here is that the critical states of the Aubry-André model are considered to originate from the self-duality of the Aubry-André model, [28] while this model also hosts critical states, but does not have the self-duality. Hence, critical states [29,30] cannot be completely classified as duality or self-duality, in other words, the duality cannot directly provide explicit information about critical states. A more accurate statement about critical states is the Lyapunov exponents of dual spaces should be 0 simultaneously; the self-duality leads to the Lyapunov exponents of dual spaces being 0 simultaneously, but the reverse statement is incorrect, therefore, satisfying self-duality is only a special case of critical states.…”

Transições entre estados de hidratação em nanossilicatos sintéticos

“…This is demonstrated in Figure 2, which show that LiFh powder adsorb H2O approximately 6 times faster than NaFh powder, and at lower humidity values. Generally interactions between the diffusing species and the medium lead to non-Markovian subdiffusive behavior 41,[48][49][50] .…”

“…As Fluorohectoritas são nanossilicatos sintetizados quimicamente e são considerados puros, podendo ser usadas como um sistema modelo representativo e limpo de argilas esmectitas naturais [18,48]. As hidroxilas (grupo OH ) que aparecem nas hectoritas são substituídas pelos íons de flúor.…”

“…O pico a 100 °C da Ni-brucita pode estar relacionado com água que sofre dessorção da superfície desta partícula. Esses tipos de água adsorvidas nas argilas podem estar ligados a interpretações anteriores na literatura [25,48]. Tanto a amostra de NiFh e a amostra de Ni-brucita mostram picos em torno de 260 °C e 320 °C, respectivamente, que podem ser atribuídos à degradação da Ni-brucita, uma vez que as partículas de Ni-brucita estão na superfície ou estão confinadas no interior dos poros da argila mineral, reduzindo, provavelmente, o limiar de temperatura para sua decomposição.…”