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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…

Quantum Gases · Physics 2013-02-11 Patrizia Vignolo , Anna Minguzzi

The equations of state for an ideal generalized gas, like an ideal quantum gas, are expressed in terms of power laws of the temperature. The reduction of an ideal generalized gas to an ideal classical case occurs when the characteristic…

Statistical Mechanics · Physics 2015-06-25 B. H. Lavenda

We consider a one-dimensional continuum gas of pointlike positive and negative unit charges interacting via a logarithmic potential. The mapping onto a two-dimensional boundary sine-Gordon field theory with zero bulk mass provides the full…

Statistical Mechanics · Physics 2007-05-23 L. Šamaj

In this letter, we investigate the properties of a strongly interacting spinless Fermi gas close to a $p$-wave resonance. We show that the universal properties at a $p$-wave resonance are captured by two contacts, which are related…

Quantum Gases · Physics 2016-07-01 Zhenhua Yu , Joseph H. Thywissen , Shizhong Zhang

We describe the emergence of strong spatial correlations, akin to liquid-like behavior and crystallization effects, in low (one and two) dimensional gases of cold Rydberg atoms. The presence of an external electric field permanently…

In this paper we discuss the recent discovery of the universality of the three-body parameter (3BP) from Efimov physics. This new result was identified by recent experimental observations in ultracold quantum gases where the value of the…

Quantum Gases · Physics 2015-06-12 J. P. D'Incao , J. Wang , B. D. Esry , C. H. Greene

Neutral atoms interact through a van der Waals potential which asymptotically falls off as r^{-6}. In ultracold gases, this interaction can be described to a good approximation by the atom-atom scattering length. However, corrections arise…

Other Condensed Matter · Physics 2009-11-13 Ryan M. Kalas , D. Blume

The thermodynamical properties of interacting Bose atoms in a harmonic potential are studied within the mean-field approximation. For weak interactions, the quantum statistics is equivalent to an ideal gas in an effective mean-field…

Quantum Gases · Physics 2015-06-03 Shi-Jie Yang , Yuechan Liu , Shiping Feng

The contact parameter in unitary Fermi Gases governs the short-distance, high-momentum, and high-energy properties of the system. We perform accurate quantum Monte Carlo calculations with highly optimized trial functions to precisely…

Quantum Gases · Physics 2011-04-06 S. Gandolfi , K. E. Schmidt , J. Carlson

We present the exact thermodynamics (isochores, isotherms, isobars, response functions) of a statistically interacting quantum gas in D dimensions. The results in D=1 are those of the thermodynamic Bethe ansatz for the nonlinear…

Statistical Mechanics · Physics 2009-11-13 Geoffrey G. Potter , Gerhard Mueller , Michael Karbach

We construct a one-dimensional contact interaction ($\epsilon$ potential) which induces the discontinuity of the wave function while keeping its derivative continuous. By combining the $\epsilon$ potential and the Dirac's $\delta$ function,…

Quantum Physics · Physics 2007-05-23 Taksu Cheon , T. Shigehara

For a dilute two-dimensional Bose gas the universal equation of state has a logarithmic dependence on the s-wave scattering length. Here we derive non-universal corrections to this equation of state taking account finite-range effects of…

Quantum Gases · Physics 2017-03-31 L. Salasnich

This work investigates the quantum transport in a narrow constriction acted upon by a finite-range transversely polarized time-dependent electric field. A generalized scattering-matrix method is developed that has incorporated a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. S. Tang , C. S. Chu

In this paper we investigate the universality and scaling properties of the well-known quantities in classical statistical mechanics near the quantum phase transition point. We show that transverse susceptibility and derivatives of…

Strongly Correlated Electrons · Physics 2015-03-17 R. Jafari

Ultracold atomic gases with short-range interactions are characterized by a number of universal species-independent relations. Many of these relations involve the two-body Tan contact. Employing the canonical ensemble, we determine the Tan…

Quantum Gases · Physics 2015-06-16 Yangqian Yan , D. Blume

Ultra-cold atomic systems provide a new setting where to investigate the role of long-range interactions. In this paper we will review the basics features of those physical systems, in particular focusing on the case of Chromium atoms. On…

Other Condensed Matter · Physics 2009-11-13 C. Menotti , M. Lewenstein , T. Lahaye , T. Pfau

Coarsening of an isolated far-from-equilibrium quantum system is a paradigmatic many-body phenomenon, relevant from subnuclear to cosmological lengthscales, and predicted to feature universal dynamic scaling. Here, we observe universal…

Competing short- and long-range interactions represent distinguished ingredients for the formation of complex quantum many-body phases. Their study is hard to realize with conventional quantum simulators. In this regard, Rydberg atoms…

Quantum Gases · Physics 2024-02-06 Zeki Zeybek , Rick Mukherjee , Peter Schmelcher

Collective diffusion coefficient in a one dimensional lattice gas adsorbate is calculated using variational approach. Particles interact via either a long-range, or a long range electron-gas-mediated (for a metallic substrate), or a…

Materials Science · Physics 2009-05-26 Filip Krzyżewski , Magdalena A. Załuska-Kotur

Quantum simulations based on near-resonance Bose gases are limited by their short lifetimes due to severe atom losses. In addition to this, the recently predicted thermodynamical instability adds another constraint on accessing the resonant…

Quantum Gases · Physics 2023-01-31 Shao-Jian Jiang , Jeff Maki , Fei Zhou