We find that the energy spectra of four and five anyons in a harmonic potential exhibit some mirror symmetric (reflection symmetric about the semionic statistics point $θ=π/2$ ) features analogous to the mirror symmetry in the two and three anyon spectra. However, since the $\ell=0$ sector remains non-mirror symmetric, the fourth and fifth virial coeffients do not reflect this symmetry.We find that the energy spectra of four and five anyons in a harmonic potential exhibit some mirror symmetric (reflection symmetric about the semionic statistics point $θ=π/2$) features analogous to the mirror symmetry in the two and three anyon spectra. However, since the $\ell=0$ sector remains non-mirror symmetric, the fourth and fifth virial coeffients do not reflect this symmetry.

arXiv:hep-th/9505020May 3, 19950 citations

Three charged bosons confined in a two-dimension harmonic trap

Wenfang Xie

Physics Letters AJun 10, 20050 citations

THREE-DIMENSIONAL QUANTUM SPIN GLASS THEORY(III) ──REPLICA SYMMETRY BREAKING SOLUTION

Ao K

Using generalized Parisi's replica symmetry breaking scheme, the quantum spin glasstheory proposed by our previous work is extended to the first-step replica symmetry breaking. A set of new self-consistent equations of spin self-interact ions and spin glass order pa rameters are obtained. The corresponding local susceptibility is reduced. It is found that thereplica symmetry solution for vector spin glass model at low temperature must be brokenthrough calculating the free-energy of the replica symmetry breaking.Using generalized Parisi's replica symmetry breaking scheme, the quantum spin glasstheory proposed by our previous work is extended to the first-step replica symmetry breaking. A set of new self-consistent equations of spin self-interact ions and spin glass order pa rameters are obtained. The corresponding local susceptibility is reduced. It is found that thereplica symmetry solution for vector spin glass model at low temperature must be brokenthrough calculating the free-energy of the replica symmetry breaking.

Acta Physica SinicaJan 1, 19960 citations

Two-mode bosonic squeezing and symmetry breaking

Sema Bi̇lge Ocak

Physics Letters ADec 30, 20042 citations

We find that the energy spectra of four and five anyons in a harmonic potential exhibit some mirror symmetric (reflection symmetric about the semionic statistics point

θ=π/2

) features analogous to the mirror symmetry in the two and three anyon spectra. However, since the

\ell=0

sector remains non-mirror symmetric, the fourth and fifth virial coeffients do not reflect this symmetry.