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Several experimental groups are currently working towards realizing quasi-one-dimensional (1D) atom waveguides and loading them with ultracold atoms. The dynamics becomes truly 1D in a regime (Tonks gas) of low temperatures and densities…

Soft Condensed Matter · Physics 2007-05-23 M. D. Girardeau , E. M. Wright

We have studied molecular hydrogen in a pure 1D geometry and inside a narrow carbon nanotube by means of the diffusion Monte Carlo method. The one-dimensionality of H2 in the nanotube is well maintained in a large density range, this system…

Condensed Matter · Physics 2009-10-31 M. C. Gordillo , J. Boronat , J. Casulleras

Ultracold gases are a versatile platform to simulate condensed matter physics, as virtually any parameter is experimentally tunable. In particular, highly anisotropic traps allow the realization of low-dimensional systems, where the role of…

Quantum Gases · Physics 2017-12-18 Guillaume Lang

Adding energy to a system through transient stirring usually leads to more disorder. In contrast, point-like vortices in a bounded two-dimensional fluid are predicted to reorder above a certain energy, forming persistent vortex clusters.…

Luttinger liquid theory of one-dimensional quantum systems ignores exponentially weak backscattering of particles. This endows Luttinger liquids with superfluid properties. The corresponding two-fluid hydrodynamic description available at…

Mesoscale and Nanoscale Physics · Physics 2019-07-25 K. A. Matveev , A. V. Andreev

This article reviews recent developments in the physics of quantized vortices in superfluid helium and atomic Bose-Einstein condensates. Quantized vortices appear in low-temperature quantum condensed systems as the direct product of…

Quantum Gases · Physics 2016-01-19 Makoto Tsubota , Kenichi Kasamatsu , Michikazu Kobayashi

Inspired by the observation of increasingly one-dimensional (1D) behavior with decreasing temperature in small-angle twisted bilayers of WTe$_2$ (tWTe$_2$), we theoretically explore the exotic sliding regimes that could be realized in…

Strongly Correlated Electrons · Physics 2025-09-11 Yi-Ming Wu , Chaitanya Murthy , Steven A. Kivelson

The study of quantum Hall effect (QHE) is a foundation of topological physics, inspiring extensive explorations of its high-dimensional generalizations. Notably, the four dimensional (4D) QHE has been experimentally realized in synthetic…

Strongly Correlated Electrons · Physics 2026-02-11 Junwen Zhao , Xue Meng , Wei Zhu , Congjun Wu

The classification of the ground-state phases of complex one-dimensional electronic systems is considered in the context of a fixed-point strategy. Examples are multichain Hubbard models, the Kondo-Heisenberg model, and the one-dimensional…

Strongly Correlated Electrons · Physics 2009-10-31 V. J. Emery , S. A. Kivelson , O. Zachar

Fluids confined within narrow channels exhibit a variety of phases and phase transitions associated with their reduced dimensionality. In this review paper, we illustrate the crossover from quasi-one dimensional to higher effective…

Statistical Mechanics · Physics 2015-05-14 Silvina M. Gatica , M. Mercedes Calbi , George Stan , R. Andreea Trasca , Milton W. Cole

The dimensionality of quantum materials strongly affects their physical properties. Although many emergent phenomena, such as charge-density wave and Luttinger liquid behavior, are well understood in one-dimensional (1D) systems, the…

Materials Science · Physics 2023-09-19 Xian Du , Yidian Li , Wenxuan Zhao , Runzhe Xu , Kaiyi Zhai , Yulin Chen , Lexian Yang

We investigate the electronic instabilities in carbon nanotubes (CNs), looking for the break-down of the one dimensional Luttinger liquid regime due to the strong screening of the long-range part of the Coulomb repulsion. We show that such…

Superconductivity · Physics 2009-11-13 S. Bellucci , M. Cini , P. Onorato , E. Perfetto

Quantum many-body systems with fracton constraints are widely conjectured to exhibit unconventional low-energy phases of matter. In this work, we demonstrate the existence of a variety of such exotic quantum phases in the ground states of a…

Quantum Gases · Physics 2023-07-06 Philip Zechmann , Ehud Altman , Michael Knap , Johannes Feldmeier

We study graphene-based electron systems with long-range Coulomb interaction by performing an analytic continuation in the number of dimensions. We characterize in this way the crossover between the marginal Fermi liquid behavior of a…

Strongly Correlated Electrons · Physics 2009-11-07 S. Bellucci , J. Gonzalez

Quantum entanglement exists in nature but is absent in classical physics, hence it fundamentally distinguishes quantum from classical theories. While entanglement is routinely observed for few-body systems, it is significantly more…

Quantum Gases · Physics 2025-09-23 Taufiq Murtadho , Marek Gluza , Nelly H. Y. Ng

We study two-dimensional (2D) vortex quantum droplets (QDs) trapped by a thicker transverse confinement with a>1um. Under this circumstance, the Lee-Huang-Yang (LHY) term should be described by its original form in the three-dimensional…

Quantum Gases · Physics 2020-10-28 Zeda Lin , Xiaoxi Xu , Zikang Chen , Ziteng Yan , Zhijie Mai , Bin Liu

We investigate spin-incoherent Luttinger liquid of a one-dimensional spin-1 Bose gas in a harmonic trap. In this regime highly degenerate spin configurations emerge since the spin exchange energy is much less than the thermal energy of the…

Quantum Gases · Physics 2016-09-07 H. H. Jen , S. -K. Yip

Quantum Hall effect (QHE) is a macroscopic manifestation of quantized states which only occurs in confined two-dimensional electron gas (2DEG) systems. Experimentally, QHE is hosted in high mobility 2DEG with large external magnetic field…

Materials Science · Physics 2018-10-17 Gang Qiu , Yixiu Wang , Yifan Nie , Yongping Zheng , Kyeongjae Cho , Wenzhuo Wu , Peide D. Ye

Ultracold dilute gases provide ideal settings for measurements of atomic structure. Helium has an internal structure sufficiently simple to permit highly accurate predictions of its resonances and transition rates. Precise laser…

Quantum Gases · Physics 2022-12-13 Jacob A Ross

Ultracold atomic gases have revolutionized the study of non-equilibrium dynamics in quantum many-body systems. Many counterintuitive non-equilibrium effects have been observed, such as suppressed thermalization in a one-dimensional (1D)…

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