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We calculate the condensate fraction and the condensate and non-condensate spatial and momentum distribution of the Bose-Hubbard model in a trap. From our results, it is evident that using approximate distributions can lead to erroneous…

Quantum Gases · Physics 2013-05-14 Ushnish Ray , David M. Ceperley

The resonant frequencies of three-dimensional microwave cavities are explicitly dependent on the dielectric constant of the material filling the cavity, making them an ideal system for probing material properties. In particular, dielectric…

Other Condensed Matter · Physics 2022-12-21 R. T. Learn , E. Varga , V. Vadakkumbatt , J. P. Davis

We investigate the phase structure and the equation of state (EoS) for dense two-color QCD (QC$_2$D) at low temperature ($T = 40$ MeV, $32^4$ lattice) for the purpose of extending our previous works~\cite{Iida:2019rah, Iida:2022hyy} at…

High Energy Physics - Lattice · Physics 2024-07-25 Kei Iida , Etsuko Itou , Kotaro Murakami , Daiki Suenaga

We present a comprehensive study of the discretized modes of an atomic gas in different conditions of confinement. Starting from the equations of hydrodynamics we derive a closed equation for the velocity field, depending on the adiabatic…

Quantum Gases · Physics 2015-11-19 Giulia De Rosi , Sandro Stringari

We study the zero-temperature phase diagram of two-dimensional helium-4 using neural quantum states. Our variational description allows us to address liquid and solid phases using the same functional form as well as exploring possible…

Statistical Mechanics · Physics 2025-06-19 David Linteau , Gabriel Pescia , Jannes Nys , Giuseppe Carleo , Markus Holzmann

We consider a model of a dilute Bose-Einstein condensed gas at finite temperatures, where the condensate coexists in a trap with a cloud of thermal excitations. Within the ZGN formalism, the dynamics of the condensate is described by a…

Statistical Mechanics · Physics 2009-11-07 B. Jackson , E. Zaremba

We made heat-capacity measurements of two dimensional (2D) $^3$He adsorbed on graphite preplated with monolayer $^4$He in a wide temperature range (0.1 $\leq T \leq$ 80 mK) at densities higher than that for the 4/7 phase (= 6.8 nm$^{-2}$).…

Other Condensed Matter · Physics 2010-05-25 D. Sato , D. Tsuji , S. Takayoshi , K. Obata , T. Matsui , Hiroshi Fukuyama

By using exact Path Integral Monte Carlo methods we calculate the equation of state of an interacting Bose gas as a function of temperature both below and above the superfluid transition. The universal character of the equation of state for…

Other Condensed Matter · Physics 2013-08-09 S. Pilati , K. Sakkos , J. Boronat , J. Casulleras , S. Giorgini

We use the quantum kinetic theory to calculate the steady state and the fluctuations of a trapped Bose-Einstein condensate at finite temperature. The system is divided in a condensate and a non-condensate part. A quantum mechanical…

Statistical Mechanics · Physics 2009-10-30 D. Jaksch , C. W. Gardiner , K. M. Gheri , P. Zoller

The high-momentum dynamic structure function of liquid 3He-4He mixtures has been studied introducing final state effects. Corrections to the impulse approximation have been included using a generalized Gersch-Rodriguez theory that properly…

Statistical Mechanics · Physics 2009-10-31 F. Mazzanti , A. Polls , J. Boronat

Simultaneous high pressure x-ray diffraction and electrical resistance measurements have been carried out on a PbO type {\alpha}-FeSe0.92 compound to a pressure of 44 GPa and temperatures down to 4 K using designer diamond anvils at…

We discuss the superfluid properties of a Bose-Einstein condensed gas with spin-orbit coupling, recently realized in experiments. We find a finite normal fluid density $\rho_n$ at zero temperature which turns out to be a function of the…

Quantum Gases · Physics 2016-10-05 Yi-Cai Zhang , Zeng-Qiang Yu , Tai Kai Ng , Shizhong Zhang , Lev Pitaevskii , Sandro Stringari

Through exact numerical solutions we show Bose-Einstein condensation (BEC) for the one-dimensional (1D) bosons with repulsive short-range interactions at zero temperature by taking a particular large size limit. Following the…

Quantum Gases · Physics 2013-03-13 Jun Sato , Eriko Kaminishi , Tetsuo Deguchi

We examine several features of Bose-Einstein condensation (BEC) in an external harmonic potential well. In the thermodynamic limit, there is a phase transition to a spatial Bose-Einstein condensed state for dimension D greater than or equal…

Condensed Matter · Physics 2016-08-31 W. J. Mullin

We obtain approximations for the time-independent Gross-Pitaevskii (GP) and complex GP equation in two and three spatial dimensions by generalizing the divergence-free WKB method. The results include an explicit expression of a uniformly…

Quantum Gases · Physics 2015-06-05 Hayder Salman

We investigate the thermodynamic properties of a dilute Bose gas in a correlated random potential using exact path integral Monte Carlo methods. The study is carried out in continuous space and disorder is produced in the simulations by a…

Quantum Gases · Physics 2015-02-26 S. Pilati , S. Giorgini , M. Modugno , N. Prokof'ev

A numerical framework is proposed and analyzed for computing the ground state of Bose--Einstein condensates. A gradient flow approach is developed, incorporating both a Lagrange multiplier to enforce the $L^2$ conservation and a free energy…

Numerical Analysis · Mathematics 2025-11-18 Jing Guo , Cheng Wang , Dong Wang

This work is devoted to the thermodynamics of high-temperature dense hydrogen plasmas in the pressure region between $10^{-1}$ and $10^2$ Mbar. In particular we present for this region results of extensive calculations based on a recently…

Plasma Physics · Physics 2009-11-07 V. S. Filinov , M. Bonitz , W. Ebeling , V. E. Fortov

We analyze the microstructure of He-II in the framework of the method of collective variables (CV), which was proposed by Bogolyubov and Zubarev and was developed later by Yukhnovskii and Vakarchuk. The logarithm of the ground-state wave…

Other Condensed Matter · Physics 2009-02-25 Maksim Tomchenko

We study the conformation and scaling properties of a self-avoiding fluid membrane, subject to an osmotic pressure $p$, by means of Monte Carlo simulations. Using finite size scaling methods in combination with a histogram reweighting…

Condensed Matter · Physics 2009-10-22 B. Dammann , H. C. Fogedby , J. H. Ipsen , C. Jeppesen