Thermal instability, evaporation, and thermodynamics of one-dimensional liquids in weakly interacting Bose-Bose mixtures

Rosi, Giulia De; Astrakharchik, G. E.; Massignan, Pietro

doi:10.1103/physreva.103.043316

Cited by 33 publications

(23 citation statements)

References 103 publications

(157 reference statements)

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“…The anomaly should be well visible then even for positive scattering length a > 0 in: i) short-range interacting systems like the metastable super Tonks-Girardeau gas [52,53], ii) finite-range interacting ensembles of dipolar [54,55] and Rydberg atoms [56], 1D bosonic 4 He (liquid) [57] and 1D fermionic 3 He (gas) [58]. Our findings can be extended to 1D liquids in bosonic mixtures [59,60] at finite temperature [61].…”

Section: Discussionsupporting

confidence: 52%

Hole-induced anomaly in the thermodynamic behavior of a one-dimensional Bose gas

De Rosi,

Rota,

Astrakharchik

et al. 2021

Preprint

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Section: Discussionsupporting

confidence: 52%

Hole-induced anomaly in the thermodynamic behavior of a one-dimensional Bose gas

De Rosi,

Rota,

Astrakharchik

et al. 2021

Preprint

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“…Moreover, it would be interesting to reveal the respective phase diagram of the dBEC in the presence of nonlinear excitations such as vortex complexes in quasi-2D or solitary waves in quasi-1D. Furthermore, studying the impact of finite temperature effects [85,86] in the dynamical nucleation of SS and droplet lattices is certainly an intriguing perspective. Here, the dependence of the LHY term on the temperature should be carefully considered.…”

Section: Discussionmentioning

confidence: 99%

Control of $^{164}$Dy Bose-Einstein condensate phases and dynamics with dipolar anisotropy

Halder¹,

Mukherjee²,

Mistakidis³

et al. 2022

Preprint

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We investigate the quench dynamics of quasi-one and two dimensional dipolar Bose-Einstein condensates (dBEC) of 164 Dy atoms under the influence of a rotating external magnetic field. We account for quantum fluctuations, critical to formation of exotic quantum droplet and supersolid phases in the extended Gross-Pitaevskii formalism, which includes the so-called Lee-Huang-Yang (LHY) correction. An analytical variational ansatz allows us to obtain the phase diagrams of the superfluid and droplet phases. A transition from the superfluid to the supersolid phase and to single and array of dipolar droplets with particle number is captured for weaker contact interactions. The dipolar strength is tuned by rotating the magnetic field with subsequent effects on phase boundaries. Following interaction quenches across the aforementioned phases, we monitor the dynamical formation of supersolid clusters or droplet lattices. We include losses to three-body recombination over the parameter crossover regime, where the three-body recombination rate coefficient scales with the fourth power of the scattering length or the dipole length. The three-body recombination leads to the evaporation of such self-bound states, while the anisotropic magnetic field aids to increase the lifetimes of the droplets.

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“…Very recently, significant attention has been drawn to the thermodynamics of quantum droplets [44]. Beyond the realm of the present study, several topics remain open for future studies.…”

Section: Conclusion and Future Challengesmentioning

confidence: 90%

Statistical mechanics of one-dimensional quantum droplets

Mithun

Mistakidis²,

Schmelcher

et al. 2021

Phys. Rev. A

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We study the statistical mechanics of quantum droplets in a one-dimensional ring geometry. The relevant model of a modified two-component Gross-Pitaevskii equation under symmetry considerations, i.e. same particle numbers and equal intra-component interaction strengths, reduces to a single-component equation. To determine the classical partition function thereof, we leverage the semi-analytical transfer integral operator (TIO) technique. The latter predicts a distribution of the observed wave function amplitudes and yields two-point correlation functions providing insights into the emergent dynamics involving quantum droplets. We compared the ensuing TIO results with the equilibrium properties of suitably constructed Langevin dynamics and with direct numerical simulations of the original system's modulational instability dynamics where the generated droplets are found to coalesce. The results indicate good agreement between the distinct methodologies aside from intermediate temperatures in the special limit where the droplet widens, approaching a plane-wave. In this limit, the distribution acquires a pronounced bimodal character at the TIO level, not captured by the Langevin dynamics, yet observed within the modified Gross-Pitaevskii framework.

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Thermal instability, evaporation, and thermodynamics of one-dimensional liquids in weakly interacting Bose-Bose mixtures

Cited by 33 publications

References 103 publications

Hole-induced anomaly in the thermodynamic behavior of a one-dimensional Bose gas

Hole-induced anomaly in the thermodynamic behavior of a one-dimensional Bose gas

Control of $^{164}$Dy Bose-Einstein condensate phases and dynamics with dipolar anisotropy

Statistical mechanics of one-dimensional quantum droplets

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