Statistical mechanics of one-dimensional quantum droplets

Mithun, Thudiyangal; Mistakidis, S. I.; Schmelcher, Peter; Kevrekidis, P. G.

doi:10.1103/physreva.104.033316

Cited by 18 publications

(6 citation statements)

References 59 publications

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“…Quantum fluctuations are commonly modeled by the Lee-Huang-Yang (LHY) term [9] added to the mean-field Gross-Pitaevskii Equations (GPEs) [1,10]. The accordingly amended GPEs have been successfully applied for the description of droplet structures and dynamics [11][12][13], including their collective response [14][15][16][17], thermal [18,19] and modulational [20][21][22] instabilities, as well as the capability to maintain robust self-trapping in the soliton [23][24][25] and vortex [26,27] states. Droplets are filled by an extremely dilute quantum fluid.…”

Section: Introductionmentioning

confidence: 99%

Interactions and Dynamics of One-Dimensional Droplets, Bubbles and Kinks

et al. 2023

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We explore the dynamics and interactions of multiple bright droplets and bubbles, as well as the interactions of kinks with droplets and with antikinks, in the extended one-dimensional Gross–Pitaevskii model including the Lee–Huang–Yang correction. Existence regions are identified for the one-dimensional droplets and bubbles in terms of their chemical potential, verifying the stability of the droplets and exposing the instability of the bubbles. The limiting case of the droplet family is a stable kink. The interactions between droplets demonstrate in-phase (out-of-phase) attraction (repulsion), with the so-called Manton’s method explicating the observed dynamical response, and mixed behavior for intermediate values of the phase shift. Droplets bearing different chemical potentials experience mass-exchange phenomena. Individual bubbles exhibit core expansion and mutual attraction prior to their destabilization. Droplets interacting with kinks are absorbed by them, a process accompanied by the emission of dispersive shock waves and gray solitons. Kink–antikink interactions are repulsive, generating counter-propagating shock waves. Our findings reveal dynamical features of droplets and kinks that can be detected in current experiments.

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Section: Introductionmentioning

confidence: 99%

Interactions and Dynamics of One-Dimensional Droplets, Bubbles and Kinks

et al. 2023

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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

Self Cite

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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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“…Early studies in 1D quantum droplets focused on stability, structure and on the dynamics [6,7]. More recently, several aspects of 1D quantum liquids have been explored including collective excitations [8], quantum Monte-Carlo simulations [9], the impact of discreteness in the form of semidiscrete droplets [10,11], thermal effects and evaporation [12][13][14], effects of higher-order corrections [15][16][17][18], phase diagram in 1D optical lattices [19], and universality classes [20]. What is intriguing in such 1D quantum droplets is that quantum fluctuations play a crucial role and three-body losses are suppressed compared to higher dimensions counterparts.…”

Section: Introductionmentioning

confidence: 99%

Self-bound liquid droplets in one-dimensional optical speckle potentials

Abbas,

Boudjemâa

2024

New J. Phys.

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We present a comprehensive description of the equilibrium properties of self-bound liquid droplets in one-dimensional optical speckle potentials at both zero and finite temperatures.Using the Bogoliubov theory we calculate analytically the equation of state, fluctuations induced by disorder, and the equilibrium density.In particular, we show that the peculiar competition between the speckle disorder, the interactions and the Lee-Huang-Yang quantum fluctuations may strongly affect the stability and the formation of the self-bound droplet.We address also the static and dynamical properties of such a disorered droplet using the generalized disorder-dependent Gross-Pitaevskii equation.Notably, impacts of a weak speckle potential are treated numerically for both small droplets of an approximately Gaussian shape and large droplets with a flat-top plateau.

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Statistical mechanics of one-dimensional quantum droplets

Cited by 18 publications

References 59 publications

Interactions and Dynamics of One-Dimensional Droplets, Bubbles and Kinks

Interactions and Dynamics of One-Dimensional Droplets, Bubbles and Kinks

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

Self-bound liquid droplets in one-dimensional optical speckle potentials

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