Fermionic versus bosonic behavior of confined Wigner molecules
arXiv:2004.09400 · doi:10.1103/PhysRevA.101.033620
Abstract
We assess whether a confined Wigner molecule constituted by fermions behaves as bosons or fermions. Following the work by C. K. Law [Phys. Rev. A \textbf{71}, 034306 (2005)] and Chudzicki et al. [Phys. Rev. Lett. \textbf{104}, 070402 (2010)] we discuss the physical meaning and the reason why a large amount of entanglement is needed in order to ensure a bosonic composite behavior. By applying a composite boson ansatz, we found that a Wigner molecule confined in two dimensional traps presents a bosonic behavior induced by symmetry. The two-particle Wigner molecule ground state required by the composite boson ansatz was obtained within the harmonic approximation in the strong interacting regime. Our approach allows us to address few-particle states (widely studied within a variety of theoretical and numerical techniques) as well as a large number of particles (difficult to address due to computational costs). For a large number of particles, we found strong fermionic correlations exposed by the suppression of particle fluctuations. For a small number of particles, we show that the wave function calculated within the composite boson ansatz captures the Friedel-Wigner transition. The latter is shown in a regime in which strong correlations due to the Pauli exclusion principle arise, therefore, we conclude that the coboson ansatz reproduces the many particle physics of a confined Wigner molecule, even in the presence of strong deviations of the ideal bosonic behavior due to fermionic correlations.
arXiv comment13 pages, 5 figures
References in corpus (34)
- Weakly bound dimers of fermionic atoms
- Quantum Correlations in Systems of Indistinguishable Particles
- Wigner crystal physics in quantum wires
- Observation and Spectroscopy of a Two-Electron Wigner Molecule in an Ultra-Clean Carbon Nanotube
- Momentum distribution and condensate fraction of a Fermi gas in the BCS-BEC crossover
- Excitation spectrum of two correlated electrons in a lateral quantum dot with negligible Zeeman splitting
- Ground state properties of the one dimensional Coulomb gas
- A molecular state of correlated electrons in a quantum dot
- Quantum entanglement as an interpretation of bosonic character in composite two-particle systems
- Quantum Monte Carlo treatment of elastic exciton-exciton scattering
- New criteria for bosonic behavior of excitons
- Entanglement and Composite Bosons
- Correlated electrons in optically-tunable quantum dots: Building an electron dimer molecule
- Wigner molecules in carbon-nanotube quantum dots
- Spectral function of few electrons in quantum wires and carbon nanotubes as a signature of Wigner localization
- Absence of Wigner molecules in one-dimensional few-fermion systems with short-range interactions
- Signatures of Wigner Localization in Epitaxially Grown Nanowires
- Bosonic behavior of entangled fermions
- Infinite Shannon entropy
- Correlation functions for the detection of Wigner molecules in a one-channel Luttinger liquid quantum dot
- 2kF-Friedel to 4kF-Wigner oscillations in one-dimensional Fermi gases under confinement
- Density profile of interacting Fermions in a one-dimensional optical trap
- Entanglement between two spatially separated ultracold interacting Fermi gases
- Wigner Crystallization in a Quasi-3D Electronic System
- Non-linear Coulomb blockade microscopy of a correlated one-dimensional quantum dot
- Coboson many-body formalism for cold atom dimers with attraction between different fermion species only
- How bosonic is a pair of fermions?
- Bosonic characters of atomic Cooper pairs across resonance
- Composite-boson approach to molecular Bose-Einstein condensates in mixtures of ultracold Fermi gases
- Correlated Pair Approach to Composite Boson Scattering Lengths
- Statistical signatures of states orthogonal to the Fock-state ladder of composite bosons
- Long- and short-range interaction footprints in entanglement entropies of two-particle Wigner molecules in 2D quantum traps
- Composite boson description of a low density gas of excitons
- Quantum correlations in one-dimensional Wigner molecules