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We derive the equation of state of bosons in an optical lattice in the framework of the Bose-Hubbard model. Near the density-driven Mott transition, the expression of the pressure P({\mu},T) versus chemical potential and temperature is…

量子气体 · 物理学 2012-03-07 A. Rancon , N. Dupuis

A grand-canonical system of interacting bosons is considered to study phase transitions of ultracold atoms in an optical lattice. The phase diagram is discussed in terms of a matrix-like order parameter, representing a symmetric phase (Mott…

统计力学 · 物理学 2007-05-23 K. Ziegler

One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state composed of localized atoms as the strength of a periodic, optical…

统计力学 · 物理学 2008-09-23 M. Aizenman , E. H. Lieb , R. Seiringer , J. P. Solovej , J. Yngvason

We calculate the quantum phase transition for a homogeneous Bose gas in the plane of s-wave scattering length a_s and temperature T. This is done by improving a one-loop result near the interaction-free Bose-Einstein critical temperature…

凝聚态物理 · 物理学 2015-06-24 Hagen Kleinert , Sebastian Schmidt , Axel Pelster

For a system at a temperature of absolute zero, all thermal fluctuations are frozen out, while quantum fluctuations prevail. These microscopic quantum fluctuations can induce a macroscopic phase transition in the ground state of a many-body…

量子气体 · 物理学 2025-06-27 Markus Greiner , Olaf Mandel , Tilman Esslinger , Theodor W Hänsch , Immanuel Bloch

The phase diagram of a single component Bose system in a lattice at zero temperature is obtained. We calculate the variational energies for the Mott insulating and superfluid phases. Below a certain critical density, which depends…

软凝聚态物质 · 物理学 2009-11-10 Zaira Nazario , David I. Santiago

Ultracold atoms in optical lattices undergo a quantum phase transition from a superfluid to a Mott insulator as the lattice potential depth is increased. We describe an approximate theory of interacting bosons in optical lattices which…

量子气体 · 物理学 2011-09-23 Dagim Tilahun , R. A. Duine , A. H. MacDonald

The dynamics of an ultracold dilute gas of bosonic atoms in an optical lattice can be described by a Bose-Hubbard model where the system parameters are controlled by laser light. We study the continuous (zero temperature) quantum phase…

统计力学 · 物理学 2009-10-31 D. Jaksch , C. Bruder , J. I. Cirac , C. W. Gardiner , P. Zoller

We study the superfluid to Mott insulator transition of bosons in a two-legged ladder optical lattice, of a type accessible in current experiments on double-well optical lattices. The zero-temperature phase diagram is mapped out, with a…

其他凝聚态物理 · 物理学 2009-11-13 Ippei Danshita , James E. Williams , Carlos A. R. Sa de Melo , Charles W. Clark

A dense Bose gas with hard-core interaction is considered in an optical lattice. We study the phase diagram in terms of a special mean-field theory that describes a Bose-Einstein condensate and a Mott insulator with a single particle per…

统计力学 · 物理学 2009-11-13 O. Fialko , Ch. Moseley , K. Ziegler

We present in this paper an analytical model for a cold bosonic gas on an optical lattice (with densities of the order of 1 particle per site) targeting the critical regime of the Bose - Einstein Condensate superfluid - Mott insulator…

其他凝聚态物理 · 物理学 2013-05-29 Esteban Calzetta , Bei-Lok Hu , Ana Maria Rey

Bose-Einstein condensation (BEC) in cold gases can be turned on and off by an external potential, such as that presented by an optical lattice. We present a model of this phenomenon which we are able to analyze rigorously. The system is a…

The superfluid -- Mott insulator phase transition in a Bose-Einstein condensate of neutral atoms with doubly degenerate internal ground states in an optical lattice is theoretically investigated. The optical lattice is created by two…

凝聚态物理 · 物理学 2009-11-10 K. V. Krutitsky , R. Graham

We present the general lattice model for a multi-component atomic Bose-Einstein system in the optical lattice. Using the model, we analytically study the quantum phase transition between Mott insulator and superfluid. A mean-field theory is…

软凝聚态物质 · 物理学 2009-11-07 Guang-Hong Chen , Yong-Shi Wu

We study the non-equilibrium dynamics of the zero temperature Mott insulator- superfluid quantum phase transition in a lattice of weakly coupled Bose-Einstein condensates. We show that crossing the critical point from the insulating to the…

介观与纳米尺度物理 · 物理学 2007-05-23 J. Dziarmaga , A. Smerzi , W. H. Zurek , A. R. Bishop

We present a study of phase transition to macroscopic superfluidity for an ultracold bosonic gas confined in a combined trap formed by a one-dimensional optical lattice and a harmonic potential, focusing on the critical temperature of this…

量子气体 · 物理学 2015-05-20 Baolong Lü , Xinzhou Tan , Bing Wang , Lijuan Cao , Hongwei Xiong

Ultracold Bose gases in one-dimensional optical lattices constitute an important benchmark problem in the study of strongly interacting many-body quantum phases. Here we present a combined experimental and theoretical study of their…

量子气体 · 物理学 2026-03-30 R. Vatré , G. Morettini , J. Beugnon , R. Lopes , L. Mazza , F. Gerbier

Optical lattice experiments, with the unique potential of tuning interactions and density, have emerged as emulators of nontrivial theoretical models that are directly relevant for strongly correlated materials. However, so far the finite…

超导电性 · 物理学 2015-05-13 Qi Zhou , Yasuyuki Kato , Naoki Kawashima , Nandini Trivedi

We have shown that the critical temperature of a Bose-Einstein condensate to a normal phase transition of noninteracting bosons in cubic optical lattices has a linear dependence on the filling factor, especially at large densities. The…

量子气体 · 物理学 2014-10-01 Abdulla Rakhimov , Iman N. Askerzade

We study the quantum phases of bosons confined in a combined potential of a one-dimensional double-well optical lattice and a parabolic trap. We apply the time-evolving block decimation method to the corresponding two-legged Bose-Hubbard…

其他凝聚态物理 · 物理学 2008-06-21 Ippei Danshita , Carlos A. R. Sa de Melo , Charles W. Clark
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