Searcharxiv⌕ Search

arXiv · 2610.30381

Quantum Phases and Structural Transitions of Bosons in Bubble-Shaped Confinements

Abstract

We investigate the structural properties and superfluid behavior of soft-core bosons confined in a spherical bubble trap at large particle numbers ($N \le 1800$). Using Path Integral Monte Carlo simulations with worm algorithm sampling in continuous space, we show that increasing $N$ drives a sequence of layering transitions: beyond the established bilayer supersolid, a third concentric layer of clusters emerges at $N \approx 1800$. By analyzing the distribution of permutation cycles distribution, we demonstrate that a finite superfluid fraction ($f_s \approx 10\%$) persists even in this multi-layer regime. These findings clarify the role of particle number in driving layer formation on curved manifolds, offering a concrete guide for future experiments with bubble-trapped bosons.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Fabio Cinti, Gabriele Costa, Giuseppe Pellicane, Santi Prestipino, Matteo Ciardi. 2026-10-21. Quantum Phases and Structural Transitions of Bosons in Bubble-Shaped Confinements. https://arxiv.org/abs/2610.30381

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Spin-resolved microscopy of $^{87}$Sr SU($N$) Fermi-Hubbard systems

Quantum-gas microscopes provide direct access to the phases of the Hubbard model, bringing microscopic insight into the complex competition between interactions, SU(2) magnetism, and doping. Alkaline-earth(-like) fermions extend this spin-1/2 paradigm by realizing higher symmetries and giving access to SU($N$) Hubbard models, with rich phase diagrams to be unveiled. Despite its fundamental interest, a microscopic exploration of SU($N$) quantum systems has remained elusive. Here we report the realization of a quantum-gas microscope for fermionic $^{87}$Sr. Our imaging scheme, based on cooling and fluorescence on the narrow intercombination line at 689 nm, enables spin-resolved single-atom detection. By implementing a spin-selective optical pumping protocol, we determine the occupation of each of the 10 spin states in a single experimental realization, a crucial capability for probing site-resolved magnetic correlations. We benchmark our method by observing single-particle Larmor precession across the full spin-9/2 ground-state manifold and use numerical simulations of SU($N$) Fermi-Hubbard chains, incorporating the measured detection fidelities, to demonstrate its capability to resolve many-body spin correlations. Our results establish $^{87}$Sr quantum-gas microscopy as a powerful approach to study exotic magnetism in the SU($N$) Fermi-Hubbard model, and provide a new detection tool for studies in quantum simulation, computation, and metrology.

cond-mat.quant-gas↗

Spinodal-controlled freeze-out and nucleation at the first-order superfluid-supersolid transition of a dipolar gas

Dipolar quantum gases in elongated traps become supersolid through a transition that is continuous at intermediate density but first order at low and high density; at the continuous point, ramps of the scattering length follow Kibble-Zurek scaling. We study ramps across the first-order superfluid-supersolid transition of $^{164}$Dy in an infinite tube using the 3D extended Gross-Pitaevskii equation with truncated-Wigner noise. With quantum noise only, the uniform superfluid survives the metastable window and transforms after its spinodal, where the roton softens. For onsets occurring during the linear ramp, the delay measured from this spinodal has a fitted exponent $ζ= 0.36 \pm 0.02$, close to the continuous-transition result and the mean-field value $1/3$. Reverse ramps show a comparable delay beyond the fold of the crystal branch, producing dynamical hysteresis. Initial thermal noise with nominal temperatures of 2.5-10 nK produces crystalline regions inside the metastable window during holds, with faster nucleation closer to the spinodal and at higher initial temperature. In ramps at 5 nK, thermal fluctuations make the superfluid fraction $f_s$ cross onset thresholds near $f_s = 1$ early, whereas the bulk of the crystal still forms after the zero-temperature spinodal with a similar scaling. Without a heat bath these effective rates depend on preparation: ramps crossing the window at the same rate nucleate early in 2 of 32 or 11 of 16 realizations depending on their starting point. At low density, slower ramps select larger spacings in a crystal of separated droplets, and droplets survive far above the transition on reverse ramps. A Maxwell construction gives a coexistence window $0.037 a_0$ wide around the first-order transition point, in which localized states exist; in the simulated tube they lie above the homogeneous states. At the continuous point there is no coexistence.

cond-mat.quant-gas↗

Near self-duality and spatial reorganization of anyon vortex lattices

Contact attraction drives the self-generated vortex lattice of a trapped anyon gas towards self-duality, but integrated energies do not reveal where the remaining departure from it is located. We address this question in the almost-bosonic Chern--Simons--Schrödinger average-field model using a positive, gauge-invariant local defect that measures the covariant kinetic energy in excess of the magnetic bound. Numerically computed low-energy states at three statistical fluxes show that, as the stability line is approached, the integrated defect falls by about two orders of magnitude while the density modulation grows, so that magnetic saturation and density uniformity separate. The residual defect concentrates in a vortex-free outer shell that carries unscreened statistical flux. There it reduces to a smooth radial mismatch between the statistical flow and the density decay, which the interior lattice cannot cancel, whereas the covariant kinetic and amplitude-gradient energies show no comparable enrichment. The effect is robust to grid and box refinement, while its magnitude depends on flux and on the low-energy branch. Exact dilation and contact-response identities relate the squared energy to the density shape and provide consistency checks. Repulsion produces the opposite trend: a smoother density with a larger defect.

cond-mat.quant-gas↗