Abstract In earlier work, the momentum distribution of harmonically confined bosons has been calculated for interparticle interactions which are also harmonic for an arbitrary number N of repelling Bose particles. After a brief discussion of the pair function in this model, attention is also given, but now for N = 2 , to the single-particle density for the repulsive interaction potential λ / r 12 2 , where r 12 is the interboson distance and λ the repulsive coupling strength. The single-particle density is displayed for specific values of λ , with attention focusing on the limit of strong repulsive coupling. Throughout, the focus is on the fingerprints of Wigner bosonic molecules.Abstract In earlier work, the momentum distribution of harmonically confined bosons has been calculated for interparticle interactions which are also harmonic for an arbitrary number N of repelling Bose particles. After a brief discussion of the pair function in this model, attention is also given, but now for N = 2 , to the single-particle density for the repulsive interaction potential λ / r 12 2 , where r 12 is the interboson distance and λ the repulsive coupling strength. The single-particle density is displayed for specific values of λ , with attention focusing on the limit of strong repulsive coupling. Throughout, the focus is on the fingerprints of Wigner bosonic molecules.

World Scientific series in 20th century physicsSep 1, 20090 citations

The Wigner effect for three interacting bosonic dipoles in a harmonic trap

Shalva M. Tsiklauri, Joseph Ganser

Bulletin of the American Physical SocietyApr 6, 20140 citations

Fermionic versus bosonic behavior of confined Wigner molecules

Eloisa Cuestas, Peter Alexander Bouvrie, A. P. Majtey

We assess whether a confined Wigner molecule constituted by $2N$ fermions behaves as $N$ bosons or $2N$ fermions. Following the work by Law [Phys. Rev. A 71, 034306 (2005)] and Chudzicki et al. [Phys. Rev. Lett. 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 a two-dimensional trap 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.We assess whether a confined Wigner molecule constituted by $2N$ fermions behaves as $N$ bosons or $2N$ fermions. Following the work by Law [Phys. Rev. A 71, 034306 (2005)] and Chudzicki et al. [Phys. Rev. Lett. 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 a two-dimensional trap 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:2004.09400Physical Review AMar 30, 202013 citations

Quantum potential in the Wigner phase space

Hai-Woong Lee

Physics Letters AJun 1, 199014 citations

Small Exotic Molecules with Bosonic Constituents

Sonia Fleck, J. M. Richard

Few-Body SystemsAug 1, 19955 citations

Emergence of Wigner molecules in one-dimensional systems of repulsive fermions under harmonic confinement

Saeed H. Abedinpour, Marco Polini, Gao Xianlong +1 more

A Bethe-ansatz spin-density functional approach is developed to evaluate the ground-state density profile in a system of repulsively interacting spin- $1∕2$ fermions inside a quasi-one-dimensional harmonic well. The approach allows for the formation of antiferromagnetic quasiorder with increasing coupling strength and reproduces with high accuracy the exact solution that is available for the two-fermion system.A Bethe-ansatz spin-density functional approach is developed to evaluate the ground-state density profile in a system of repulsively interacting spin-$1∕2$ fermions inside a quasi-one-dimensional harmonic well. The approach allows for the formation of antiferromagnetic quasiorder with increasing coupling strength and reproduces with high accuracy the exact solution that is available for the two-fermion system.

arXiv:cond-mat/0611699Physical Review AJan 9, 200730 citations

We assess whether a confined Wigner molecule constituted by

2N

fermions behaves as

N

bosons or

2N

fermions. Following the work by Law [Phys. Rev. A 71, 034306 (2005)] and Chudzicki et al. [Phys. Rev. Lett. 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 a two-dimensional trap 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.

A Bethe-ansatz spin-density functional approach is developed to evaluate the ground-state density profile in a system of repulsively interacting spin-

1∕2

fermions inside a quasi-one-dimensional harmonic well. The approach allows for the formation of antiferromagnetic quasiorder with increasing coupling strength and reproduces with high accuracy the exact solution that is available for the two-fermion system.