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Bose atoms in optical lattices are considered at low temperatures and weak interactions, when Bose-Einstein condensate is formed. A self-consistent approach, based on the use of a representative statistical ensemble, is employed, ensuring a…

Quantum Gases · Physics 2013-07-09 V. I. Yukalov

It has been shown that dipolar Bose-Einstein condensates that are tightly trapped along the polarization direction can feature a rich phase diagram. In this paper we show that finite temperature can assist in accessing parts of the phase…

Quantum Gases · Physics 2024-10-28 Liang-Jun He , Juan Sanchez-Baena , Fabian Maucher , Yong-Chang Zhang

We analyze the localization of a Bose-Einstein condensate (BEC) in a one-dimensional bichromatic quasi-periodic optical-lattice potential by numerically solving the 1D Gross-Pitaevskii equation (1D GPE). We first derive the 1D GPE from the…

Quantum Gases · Physics 2016-01-26 L. Salasnich , S. K. Adhikari

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…

Statistical Mechanics · Physics 2008-09-23 M. Aizenman , E. H. Lieb , R. Seiringer , J. P. Solovej , J. Yngvason

We study collective modes of vortex lattices in two-component Bose-Einstein condensates subject to synthetic magnetic fields in mutually parallel or antiparallel directions. By means of the Bogoliubov theory with the lowest-Landau-level…

Quantum Gases · Physics 2019-01-11 Takumi Yoshino , Shunsuke Furukawa , Sho Higashikawa , Masahito Ueda

We study the dynamics of Bogoliubov excitations of a Bose-Einstein condensate in the quasiperiodic kicked rotor. In the weakly interacting regime, the condensate is stable and both the condensate and the excitations undergo a phase…

Quantum Gases · Physics 2014-10-10 Benoit Vermersch , Dominique Delande , Jean Claude Garreau

Quantum magnets offer a unique platform for exploring exotic quantum phases and quantum phase transitions through external magnetic fields. A prominent example is the field-induced Bose--Einstein condensation (BEC) of magnons near the…

Strongly Correlated Electrons · Physics 2025-10-15 J. Khatua , S. M. Kumawat , G. Senthil Murugan , C. -L. Huang , Heung-Sik Kim , K. Sritharan , R. Sankar , Kwang-Yong Choi

We experimentally show that dipolar interaction can stabilize otherwise unstable many-body systems like an attractive Bose gas. In a one dimensional lattice the repulsive dipolar on-site interaction balances negative scattering lengths up…

Quantum Gases · Physics 2012-02-03 S. Müller , J. Billy , E. A. L. Henn , H. Kadau , A. Griesmaier , M. Jona-Lasinio , L. Santos , T. Pfau

We study the nonequilibrium dynamics of a Bose-Einstein condensate which is split in a harmonic trap by turning up a periodic optical lattice potential. We evaluate the dynamical evolution of the phase coherence along the lattice and the…

Statistical Mechanics · Physics 2016-08-31 Lorenzo Isella , Janne Ruostekoski

The criteria for validity of adiabaticity for nonlinear wave equations are considered within the context of atomic matter-waves tunneling from macroscopically populated optical standing-wave traps loaded from a Bose-Einstein condensate. We…

Statistical Mechanics · Physics 2009-11-07 Y. B. Band , Marek Trippenbach

We study vortex-lattice phases for a Bose gas trapped in a rotating optical-lattice near the superfluid--Mott-insulator transition. We find a series of abrupt structural phase transitions where vortices are pinned with their cores only on…

Other Condensed Matter · Physics 2008-07-23 Daniel S. Goldbaum , Erich J. Mueller

The dynamics of Bose-Einstein condensates trapped in a deep optical lattice is governed by a discrete nonlinear equation (DNL). Its degree of nonlinearity and the intersite hopping rates are retrieved from a nonlinear tight-binding…

Condensed Matter · Physics 2009-11-10 Augusto Smerzi , Andrea Trombettoni

The effects of a sudden increase and decrease of the interatomic interaction and harmonic-oscillator trapping potential on vortices in a quasi two-dimensional rotating Bose-Einstein condensate are investigated using the mean-field…

Soft Condensed Matter · Physics 2015-06-24 Sadhan K. Adhikari , Paulsamy Muruganandam

We study the phase diagram of the one-dimensional boson gas trapped inside an optical lattice with contact and dipolar interaction taking into account next-nearest terms for both tunneling and interaction. Using the density matrix…

Quantum Gases · Physics 2018-06-06 Krzysztof Biedroń , Mateusz Łącki , Jakub Zakrzewski

The long-range and anisotropic nature of the dipolar interaction provides the so-called supersolid phases in Bose-Einstein condensates (BECs) in an optical lattice. However, in a certain area of dipole interaction parameters, BECs can form…

Quantum Gases · Physics 2022-07-11 Kazuhiro Tamura , Shohei Watabe , Tetsuro Nikuni

We investigate a Bose-Fermi mixture in a three-dimensional optical lattice, trapped in a harmonic potential. Using Generalized Dynamical Mean-Field theory, which treats the Bose-Bose and Bose-Fermi interaction in a fully non-perturbative…

Quantum Gases · Physics 2011-04-18 Michiel Snoek , Irakli Titvinidze , Immanuel Bloch , Walter Hofstetter

We examine the stability of quasi-two-dimensional dipolar Bose-Einstein condensates in the presence of weak optical lattices of various geometries. We find that when the condensate possesses a roton-maxon quasiparticle dispersion, the…

Quantum Gases · Physics 2015-06-15 John P. Corson , Ryan M. Wilson , John L. Bohn

We study the collapse in a coupled Bose-Einstein condensate of two types of bosons 1 and 2 under the action of a trap using the time-dependent Gross-Pitaevskii equation. The system may undergo collapse when one, two or three of the…

Soft Condensed Matter · Physics 2009-10-31 Sadhan K. Adhikari

We consider the Bose-Hubbard model with particle losses at one lattice site. For the non-interacting case, we find that half of the bosons of an initially homogeneous particle distribution, are not affected by dissipation that only acts on…

Quantum Gases · Physics 2015-06-04 Kosmas Kepesidis , Michael J. Hartmann

The transport properties of a Bose-Einstein condensate in a 1D incommensurate bichromatic lattice are investigated both theoretically and experimentally. We observe a blockage of the center of mass motion with low atom number, and a return…

Other Condensed Matter · Physics 2009-11-11 J. E. Lye , L. Fallani , C. Fort , V. Guarrera , M. Modugno , D. S. Wiersma , M. Inguscio