One Dimensional Magnetized TG Gas Properties in an External Magnetic Field

Abstract

With Girardeau's Fermi-Bose mapping, we have constructed the eigenstates of a TG gas in an external magnetic field. When the number of bosons $N$ is commensurate with the number of potential cycles $M$, the probability of this TG gas in the ground state is bigger than the TG gas raised by Girardeau in 1960. Through the comparison of properties between this TG gas and Fermi gas, we find that the following issues are always of the same: their average value of particle's coordinate and potential energy, system's total momentum, single-particle density and the pair distribution function. But the reduced single-particle matrices and their momentum distributions between them are different.

6 pages, 4 figures

References in corpus (5)

• Dynamics of a Tonks-Girardeau gas released from a hard-wall trap
• Finite-temperature properties of hard-core bosons confined on one-dimensional optical lattices
• Momentum distribution for a one-dimensional trapped gas of hard-core bosons
• Characteristics of Bose-Einstein condensation in an optical lattice
• Ground states of hard-core bosons in one dimensional periodic potentials

Cited by in corpus (1)

• Optical lattices as a tool to study defect-induced superfluidity