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Phase transitions are ubiquitous in our three-dimensional world. By contrast most conventional transitions do not occur in infinite uniform two-dimensional systems because of the increased role of thermal fluctuations. Here we explore the…

We study in detail the effect of quasicondensation. We show that this effect is strictly related to dimensionality of the system. It is present in one dimensional systems independently of interactions - exists in repulsive, attractive or in…

Quantum Physics · Physics 2015-06-04 Przemyslaw Bienias , Krzysztof Pawlowski , Mariusz Gajda , Kazimierz Rzazewski

In this work, we extend the analysis of interacting bosons at 2D-1D dimensional crossover for finite size and temperature by using field-theory approach (bosonization) and quantum Monte Carlo simulations. Stemming from the fact that finite…

Quantum Gases · Physics 2024-07-10 Lorenzo Pizzino , Hepeng Yao , Thierry Giamarchi

We develop a variational theory of the crossover from the one-dimensional (1D) regime to the 3D regime for ultra-cold Bose gases in thin waveguides. Within the 1D regime we map out the parameter space for fermionization, which may span the…

Soft Condensed Matter · Physics 2009-11-07 Kunal K. Das , M. D. Girardeau , E. M. Wright

The equilibrium properties of a weakly interacting atomic Bose gas across the Berezinskii-Kosterlitz-Thouless (BKT) and Bose-Einstein condensation (BEC) phase transitions are numerically investigated through a dimensionality crossover from…

Quantum Gases · Physics 2024-12-13 Nick Keepfer , I-Kang Liu , Franco Dalfovo , Nick Proukakis

We report in situ measurements of density fluctuations in a quasi one dimensional Bose gas at thermal equilibrium in an elongated harmonic trap. We observe an excess of fluctuations compared to the shot noise level expected for uncorrelated…

Using a multiple-image reconstruction method applied to a harmonically trapped Bose gas, we determine the equation of state of uniform matter across the critical transition point, within the local density approximation. Our experimental…

Quantum Gases · Physics 2020-10-14 C. Mordini , D. Trypogeorgos , A. Farolfi , L. Wolswijk , S. Stringari , G. Lamporesi , G. Ferrari

The superfluid transition of a three-dimensional gas of hard-sphere bosons in a disordered medium is studied using quantum Monte Carlo methods. Simulations are performed in continuous space both in the canonical and in the grand-canonical…

Other Condensed Matter · Physics 2015-05-13 S. Pilati , S. Giorgini , N. Prokof'ev

We study, within a framework of the classical fields approximation, the density correlations of a weakly interacting expanding Bose gas for the whole range of temperatures across the Bose-Einstein condensation threshold. We focus on…

Quantum Gases · Physics 2015-10-09 Krzysztof Gawryluk , Mariusz Gajda , Miroslaw Brewczyk

The exploration of dimensional crossover carries profound fundamental significance, serving as a crucial bridge in comprehending the remarkable disparities observed in transitional phenomena across the two distinct dimensions of a physical…

Quantum Gases · Physics 2024-08-09 Tao Yu , Xiaoran Ye , Zhaoxin Liang

We study the thermodynamic properties of a 2D array of coupled one-dimensional Bose gases. The system is realized with ultracold bosonic atoms loaded in the potential tubes of a two-dimensional optical lattice. For negligible coupling…

We investigate the formation of quantum droplets at finite temperature in attractive Bose mixtures subject to a strong transverse harmonic confinement. By means of exact path-integral Monte Carlo methods we determine the equilibrium density…

Quantum Gases · Physics 2024-08-20 Gabriele Spada , Sebastiano Pilati , Stefano Giorgini

Transition temperature data obtained as a function of particle density in the $^4$He-Vycor system are compared with recent theoretical calculations for 3D Bose condensed systems. In the low density dilute Bose gas regime we find, in…

Condensed Matter · Physics 2009-10-31 J. D. Reppy , B. C. Crooker , B. Hebral , A. D. Corwin , J. He , G. M. Zassenhaus

We have studied the transition from two to three dimensions in a low temperature weakly interacting $^6$Li Fermi gas. Below a critical atom number, $N_{2D}$, only the lowest transverse vibrational state of a highly anisotropic oblate…

Quantum Gases · Physics 2011-03-16 P. Dyke , E. D. Kuhnle , S. Whitlock , H. Hu , M. Mark , S. Hoinka , M. Lingham , P. Hannaford , C. J. Vale

The analytical probability distribution of the quasi-2D (and purely 2D) ideal and interacting Bose gas are investigated by using a canonical ensemble approach. Using the analytical probability distribution of the condensate, the statistical…

Soft Condensed Matter · Physics 2009-11-07 Hongwei Xiong , Shujuan Liu , Guoxiang Huang

Quasi-one-dimensional (Q1D) systems, i.e., three- and two-dimensional (3D/2D) arrays composed of weakly coupled one-dimensional lattices of interacting quantum particles, exhibit rich and fascinating physics. They are studied across various…

Strongly Correlated Electrons · Physics 2020-12-03 Gunnar Bollmark , Nicolas Laflorencie , Adrian Kantian

We perform a dynamical finite-size scaling analysis of a nonequilibrium Bose gas which is confined in the transverse plane. Varying the transverse size, we establish a dimensional crossover for universal scaling properties far from…

Quantum Gases · Physics 2022-02-09 Lasse Gresista , Torsten V. Zache , Jürgen Berges

We investigate the momentum-dependent transport of 1D quasi-condensates in quasiperiodic optical lattices. We observe a sharp crossover from a weakly dissipative regime to a strongly unstable one at a disorder-dependent critical momentum.…

Disordered Systems and Neural Networks · Physics 2013-09-12 Luca Tanzi , Eleonora Lucioni , Saptarishi Chaudhuri , Lorenzo Gori , Avinash Kumar , Chiara D'Errico , Massimo Inguscio , Giovanni Modugno

We consider a three-dimensional weakly interacting Bose gas in the fluctuation region (and its vicinity) of the normal-superfluid phase transition point. We establish relations between basic thermodynamic functions: density, $n(T,\mu)$,…

Superconductivity · Physics 2007-05-23 Nikolay Prokof'ev , Oliver Ruebenacker , Boris Svistunov

We investigate the ground-state properties of ultracold two-component Fermi gases in the presence of a transverse harmonic potential, focusing on the strongly interacting regime in which pairs of fermions form tightly bound molecules. Using…

Quantum Gases · Physics 2025-12-11 Giovanni Midei , Jordi Boronat , Grigory E. Astrakharchik