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The classification of the ground-state phases of complex one-dimensional electronic systems is considered in the context of a fixed-point strategy. Examples are multichain Hubbard models, the Kondo-Heisenberg model, and the one-dimensional…

Strongly Correlated Electrons · Physics 2009-10-31 V. J. Emery , S. A. Kivelson , O. Zachar

Ultra-cold atomic gases provide new chance to study the universal critical behavior of phase transition. We study theoretically the matter wave interference for ultra-cold Bose gases in the critical regime. We demonstrate that the…

Quantum Gases · Physics 2017-06-28 Xuguang Yue , Shujuan Liu , Biao Wu , Hongwei Xiong

A perturbative model is studied for the tunneling of many-particle states from the ground band to the first excited energy band, mimicking Landau-Zener decay for ultracold, spinless atoms in quasi-one dimensional optical lattices subjected…

Other Condensed Matter · Physics 2007-10-10 Andrea Tomadin , Riccardo Mannella , Sandro Wimberger

We use the functional renormalization group (FRG) to derive analytical expressions for thermodynamic observables (density, pressure, entropy, and compressibility) as well as for single-particle properties (wavefunction renormalization and…

Quantum Gases · Physics 2017-01-19 Jan Krieg , Dominik Strassel , Simon Streib , Sebastian Eggert , Peter Kopietz

We calculate the excitation modes of a 1D dipolar quantum gas confined in a harmonic trap with frequency $\omega_0$ and predict how the frequency of the breathing n=2 mode characterizes the interaction strength evolving from the…

Other Condensed Matter · Physics 2008-05-27 P. Pedri , S. De Palo , E. Orignac , R. Citro , M. L. Chiofalo

We study disordered interacting bosons described by the Bose-Hubbard model with Gaussian-distributed random tunneling amplitudes. It is shown that the off-diagonal disorder induces a spin-glass-like ground state, characterized by randomly…

Quantum Gases · Physics 2018-04-18 A. M. Piekarska , T. K. Kopeć

In a recent experiment at JILA [E.A. Donley et al., Nature (London) 417, 529 (2002)] an initially pure condensate of Rb-85 atoms was exposed to a specially designed time dependent magnetic field pulse in the vicinity of a Feshbach…

Condensed Matter · Physics 2008-09-08 Thorsten Koehler , Thomas Gasenzer , Keith Burnett

We show that the electron-like and photon-like excitations may exist in a three-dimensional Bose-Fermi Hubbard model describing ultracold Bose-Fermi atom mixtures in optical lattices. In a Mott insulating phase of the Bose atoms, these…

Other Condensed Matter · Physics 2007-05-23 Yue Yu , S. T. Chui

We study by numerical simulation a disordered Bose-Hubbard model in low-dimensional lattices. We show that a proper characterization of the phase diagram on finite disordered clusters requires the knowledge of probability distributions of…

Strongly Correlated Electrons · Physics 2015-05-18 Juan Carrasquilla , Federico Becca , Andrea Trombettoni , Michele Fabrizio

We study the properties of a magnetic dipolar Bose-Einstein condensate (BEC) in an elongated (cigar shaped) confining potential in the beyond quasi-one-dimensional (quasi-1D) regime. In this system the dipole-dipole interactions (DDIs)…

Quantum Gases · Physics 2020-10-14 Sukla Pal , D. Baillie , P. B. Blakie

Quantum critical matter has already been studied in many systems, including cold atomic gases. We report the observation of a universal behaviour of ultracold quantum critical Bose gases in a one-dimensional optical lattice. In the quantum…

Quantum Gases · Physics 2011-03-08 Hongwei Xiong , Xinzhou Tan , Bing Wang , Lijuan Cao , Baolong Lü

We consider non centered vortices and their arrays in a cylindrically trapped Bose-Einstein condensate at zero temperature. We study the kinetic energy and the angular momentum per particle in the Thomas Fermi regime and their dependence on…

Condensed Matter · Physics 2009-10-31 Montserrat Guilleumas , Robert Graham

We demonstrate the existence of phase fluctuations in elongated Bose-Einstein Condensates (BECs) and study the dependence of those fluctuations on the system parameters. A strong dependence on temperature, atom number, and trapping geometry…

In the previous works, we proposed atomic quantum simulations of the U(1) gauge-Higgs model by ultra-cold Bose gases. By studying extended Bose-Hubbard models (EBHMs) including long-range repulsions, we clarified the locations of the…

Quantum Gases · Physics 2019-07-31 Jonghoon Park , Yoshihito Kuno , Ikuo Ichinose

We present the theory of damping of low-energy excitations of a trapped Bose condensate at finite temperatures, where the damping is provided by the interaction of these excitations with the thermal excitations. We emphasize the key role of…

Condensed Matter · Physics 2009-10-30 P. O. Fedichev , G. V. Shlyapnikov , J. T. M. Walraven

Recent advances in programmable quantum devices brought to the fore the intriguing possibility of using them to realise and investigate topological quantum spin liquid phases. This new and exciting direction brings about important research…

Quantum Physics · Physics 2023-11-15 Shiyu Zhou , Maria Zelenayova , Oliver Hart , Claudio Chamon , Claudio Castelnovo

We suggest a better mathematical method, fractional calculus, for studying the behavior of the atom-field interaction in photonic crystals. By studying the spontaneous emission of an atom in a photonic crystal with one-band isotropic model,…

Materials Science · Physics 2015-05-13 Szu-Cheng Cheng , Jing-Nuo Wu , Ming-Rung Tsai , Wen-Feng Hsieh

We study Hilbert-space fragmentation and thermalization in a one-dimensional dipole-conserving Bose-Hubbard chain. By analyzing the structure of the Hamiltonian matrix in the Fock basis, we show that the system exhibits weak Hilbert-space…

Quantum Gases · Physics 2026-05-19 Chenrong Liu

The one-dimensional extended bosonic Hubbard model has been shown to exhibit a variety of phases ranging from Mott insulator and superfluid to exotic supersolids and Haldane insulators depending on the filling and the relative value of the…

Quantum Gases · Physics 2016-01-20 Benoît Grémaud , George G. Batrouni

We analyze the possible transition patterns exhibited by an effective non-relativistic field model describing interacting binary homogeneous dilute Bose gases whose overall potential is repulsive. We evaluate the temperature dependence of…

Soft Condensed Matter · Physics 2007-05-23 Marcus B. Pinto , Rudnei O. Ramos , Frederico F. de Souza Cruz
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