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High-momentum tail in the Tonks–Girardeau gas under general confining potentials

Gustavo A. Moreno

arXiv:0907.3659Physics Letters AAug 20, 20092 citations

Probing Phase Transitions of a Tonks-Girardeau Gas

Ayaka Usui, Thomás Fogarty, Busch Thomas

日本物理学会講演概要集Jan 1, 20170 citations

One-dimensional magnetized Tonks–Girardeau gas properties in an external magnetic field

Zhao Liang Wang, An Min Wang

With Girardeau's Fermi–Bose mapping, we have constructed the eigenstates of the Tonks–Girardeau (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 the same: their average value of particle coordinates and potential energies, system total momenta, single-particle densities and pair distribution functions. But the reduced single-particle density matrices and their momentum distributions between them are different.With Girardeau's Fermi–Bose mapping, we have constructed the eigenstates of the Tonks–Girardeau (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 the same: their average value of particle coordinates and potential energies, system total momenta, single-particle densities and pair distribution functions. But the reduced single-particle density matrices and their momentum distributions between them are different.

arXiv:1001.0116Journal of Physics A Mathematical and TheoreticalMar 29, 20102 citations

Momentum distribution dynamics of a tonks-girardeau gas: Bragg reflections of a quantum many-body wavepacket

Robert Pezer, Hrvoje Buljan

The dynamics of the momentum distribution and the reduced single-particle density matrix (RSPDM) of a Tonks-Girardeau gas is studied in the context of Bragg-reflections of a manybody wavepacket.

Quantum Electronics and Laser Science ConferenceMay 1, 20071 citation

Experimental study of a 1D Tonks-Girardeau gas

David S. Weiss

Bulletin of the American Physical SocietyMay 19, 20050 citations

Exact Coherent States of a Harmonically Confined Tonks-Girardeau Gas

Anna Minguzzi, Dimitri M. Gangardt

Using a scaling transformation we exactly determine the dynamics of an harmonically confined Tonks-Girardeau gas under arbitrary time variations of the trap frequency. We show how during a one-dimensional expansion a ``dynamical fermionization'' occurs as the momentum distribution rapidly approaches an ideal Fermi gas distribution, and that under a sudden change of the trap frequency the gas undergoes undamped breathing oscillations displaying alternating bosonic and fermionic character in momentum space. The absence of damping in the oscillations is a peculiarity of the truly Tonks regime.Using a scaling transformation we exactly determine the dynamics of an harmonically confined Tonks-Girardeau gas under arbitrary time variations of the trap frequency. We show how during a one-dimensional expansion a ``dynamical fermionization'' occurs as the momentum distribution rapidly approaches an ideal Fermi gas distribution, and that under a sudden change of the trap frequency the gas undergoes undamped breathing oscillations displaying alternating bosonic and fermionic character in momentum space. The absence of damping in the oscillations is a peculiarity of the truly Tonks regime.

arXiv:cond-mat/0504024Physical Review LettersJun 22, 2005223 citations

Precision measurements of momentum distribution of Tonks-Girardeau gas.

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Precision measurements of momentum distribution of Tonks-Girardeau gas.

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