Thermal and Quantum Fluctuation Effects in Quasiperiodic Systems in External Potentials
arXiv:1912.00638 · doi:10.3390/condmat4040093
Abstract
We analyze the many-body phases of an ensemble of particles interacting via a Lifshitz--Petrich--Gaussian pair potential in a harmonic confinement. We focus on specific parameter regimes where we expect decagonal quasiperiodic cluster arrangements. Performing classical Monte Carlo as well as path integral quantum Monte Carlo methods, we numerically simulate systems of a few thousand particles including thermal and quantum fluctuations. Our findings indicate that the competition between the intrinsic length scale of the harmonic oscillator and the wavelengths associated to the minima of the pair potential generically lead to a destruction of the quasicrystalline pattern. Extensions of this work are also discussed.
arXiv comment8 pages, 4 figures
References in corpus (29)
- The physics of dipolar bosonic quantum gases
- Observing the Rosensweig instability of a quantum ferrofluid
- Observation of the supersolid stripe phase in spin-orbit coupled Bose-Einstein condensates
- Supersolid formation in a quantum gas breaking continuous translational symmetry
- Observation of a dipolar quantum gas with metastable supersolid properties
- Supersolids: what and where are they ?
- Quantum filaments in dipolar Bose-Einstein condensates
- Exact Criterion for Determining Clustering vs. Reentrant Melting Behavior for Bounded Interaction Potentials
- A superfluid-droplet crystal and a free-space supersolid in a dipole-blockaded gas
- Excitation spectrum of a supersolid
- Defect-induced supersolidity with soft-core bosons
- Supersolid Vortex Crystals in Rydberg-dressed Bose-Einstein Condensates
- Supersolidity around a critical point in dipolar Bose Einstein condensates
- Elementary excitations of ultracold soft-core bosons across the superfluid-supersolid phase transition
- Vortices in self-bound dipolar droplets
- Controlled self-assembly of periodic and aperiodic cluster crystals
- Rydberg-dressing of atoms in optical lattices
- Classical and quantum filaments in the ground state of trapped dipolar Bose gases
- Permutation sampling in Path Integral Monte Carlo
- Superfluid filaments of dipolar bosons in free space
- Collective modes across the soliton-droplet crossover in binary Bose mixtures
- Ground state and excitation properties of soft-core bosons
- Phases of dipolar bosons in a bilayer geometry
- Structure, Bose-Einstein condensation and superfluidity of two-dimensional confined dipolar assemblies
- Absence of superfluidity in 2D dipolar Bose striped crystals
- Exchange-induced crystallization of soft core bosons
- Quantum Cluster Quasicrystals
- Glass transitions in monodisperse cluster-forming ensembles: vortex matter in type-1.5 superconductors
- Dipole Oscillations in Fermionic Mixtures