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High-momentum tail in the Tonks gas under harmonic confinement

Anna Minguzzi, Patrizia Vignolo, M. P. Tosi

arXiv:cond-mat/0201573Physics Letters AFeb 1, 2002111 citations

Precision measurements of momentum distribution of Tonks-Girardeau gas.

Joshua M. Wilson, Lin Xia, Wei Xu +4 more

Bulletin of the American Physical SocietyMay 25, 20160 citations

Tonks-Girardeau gas in an optical lattice: Effects of a local potential (6 pages)

Alberto G. Rojo, Han Fu

Physical Review AJan 1, 20060 citations

Universal Contact for a Tonks-Girardeau Gas at Finite Temperature

Patrizia Vignolo, Anna Minguzzi

We determine the finite-temperature momentum distribution of a strongly interacting 1D Bose gas in the Tonks-Girardeau (impenetrable-boson) limit under harmonic confinement and explore its universal properties associated to the scale invariance of the model. We show that, at difference from the unitary Fermi gas in three dimensions, the weight of its large-momentum tails--given by Tan's contact--increases with temperature and calculate the high-temperature universal second contact coefficient using a virial expansion.We determine the finite-temperature momentum distribution of a strongly interacting 1D Bose gas in the Tonks-Girardeau (impenetrable-boson) limit under harmonic confinement and explore its universal properties associated to the scale invariance of the model. We show that, at difference from the unitary Fermi gas in three dimensions, the weight of its large-momentum tails--given by Tan's contact--increases with temperature and calculate the high-temperature universal second contact coefficient using a virial expansion.

arXiv:1209.1545Physical Review LettersJan 8, 201375 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

Anderson localization of a Tonks-Girardeau gas in potentials with controlled disorder

Juraj Radić, Vladimir Bačić, Dario Jukić +2 more

We theoretically demonstrate features of Anderson localization in a Tonks-Girardeau gas confined in one-dimensional potentials with controlled disorder. That is, we investigate the evolution of the single-particle density and correlations of a Tonks-Girardeau wave packet in such disordered potentials. The wave packet is initially trapped, the trap is suddenly turned off, and after some time the system evolves into a localized steady state due to Anderson localization. The density tails of the steady state decay exponentially, while the coherence in these tails increases. The latter phenomenon corresponds to the same effect found in incoherent optical solitons.We theoretically demonstrate features of Anderson localization in a Tonks-Girardeau gas confined in one-dimensional potentials with controlled disorder. That is, we investigate the evolution of the single-particle density and correlations of a Tonks-Girardeau wave packet in such disordered potentials. The wave packet is initially trapped, the trap is suddenly turned off, and after some time the system evolves into a localized steady state due to Anderson localization. The density tails of the steady state decay exponentially, while the coherence in these tails increases. The latter phenomenon corresponds to the same effect found in incoherent optical solitons.

arXiv:1005.4726Physical Review AJun 28, 201026 citations

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

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

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