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Showing 1 to 12 of 12 for “"Bose-Hubbard model"”.

  1. Spatio-temporal dynamics of the disordered Bose-Hubbard model

    Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-10-19 without embargo terms

    uiuc Repository record for Spatio-temporal dynamics of the disordered Bose-Hubbard model (opens in a new tab)

  2. Few- and many-body physics of dipoles in ion traps and optical lattice simulators

    … we present the first ab-initio and microscopic model for this noise. This model attributes the noise to fluctuating dipoles formed by adsorbates bound on the trap surface. The second part of the thesis studies three different lattice boson systems. First, we study the Bose-Hubbard model for …

    mit Repository record for Few- and many-body physics of dipoles in ion traps and optical lattice simulators (opens in a new tab)

  3. Quantum Dynamics of Strongly-Interacting Bosons in Optical Lattices with Disorder

    … dynamics of states derived from the disordered Bose-Hubbard model in a trapping potential. We find that the edge states in the trap allow center of mass motion even with insulating states in the center. We identify short and long-time mechanisms for edge state transport in insulating phases. We …

    vt Repository record for Quantum Dynamics of Strongly-Interacting Bosons in Optical Lattices with Disorder (opens in a new tab)

  4. An Exploration of Quantum Critical Phenomena in One-Dimensional Lattice Systems: Geometric Frustration & Quantum Fluctuations

    … and we will explore an extension of the standard Bose-Hubbard model on a one-dimensional lattice with a non-trivial elementary cell.<br/><br/>Our first main focus will be on the use of entanglement scaling as an indicator of when a phase transition has occurred, more specifically for first-order …

    qu-belfast Repository record for An Exploration of Quantum Critical Phenomena in One-Dimensional Lattice Systems: Geometric Frustration & Quantum Fluctuations (opens in a new tab)

  5. Strongly correlated ultra-cold bosonic atoms in optical lattices

    … since cold atom experiments provide a control on model parameters.<br><br> In this thesis, we use novel analytical and computational techniques to treat strongly interacting bosonic systems. Taking advantage of the very versatile quantum Monte Carlo Stochastic Green Function algorithm, we studied …

    lsu-thes Repository record for Strongly correlated ultra-cold bosonic atoms in optical lattices (opens in a new tab)

  6. Compressibility of a bosonic Mott-insulator in a disordered optical lattice

    … Much of the impediment to progress is that the models thought to contain the essential ingredients that give rise to the observed behavior cannot be solved analytically and require prohibitive amounts of computational resources in order to simulate numerically. These limitations are exacerbated …

    uiuc Repository record for Compressibility of a bosonic Mott-insulator in a disordered optical lattice (opens in a new tab)

  7. Aspects of Quantum Fluctuations under Time-dependent External Influences

    … Afterwards, we turn our attention towards Bose-Einstein condensates, a laboratory system. Since most of our calculations are performed using a mean-field expansion, we will study the accuracy of a finite-range interaction potential onto such an expansion. Exploiting the universality of …

    qucosa-diss

  8. Non-equilibrium dynamics of ultracold atoms in optical lattices

    … out-of-equilibrium phenomena in the Bose-Hubbard Model and exploring novel cooling techniques for ultracold gases in optical lattices. In the first experiment, we study quenches across the Mott-insulator-to-superfluid quantum phase transition in the 3D Bose-Hubbard Model. The quench …

    uiuc Repository record for Non-equilibrium dynamics of ultracold atoms in optical lattices (opens in a new tab)

  9. Dynamics of ultracold bosons in a disordered optical lattice

    … a disordered optical lattice to realize the 3D Bose Hubbard model, with independently, dynamically tunable lattice depth and disorder strength. The equilibrium behavior of the Bose Hubbard and disordered Bose Hubbard models are understood, but there are many outstanding questions about dynamics. …

    uiuc Repository record for Dynamics of ultracold bosons in a disordered optical lattice (opens in a new tab)

  10. Properties of dirty bosons in disordered optical lattices

    The study of the disordered Bose-Hubbard model is key to understanding the interplay of disorder and interactions. Despite many studies with uniform diagonal disorder, few have inquired into experimental realizations with an additional correlated off-diagonal disorder. The presence of a trap and …

    uiuc Repository record for Properties of dirty bosons in disordered optical lattices (opens in a new tab)

  11. Strongly correlated quantum fluids and effective thermalization in non-Markovian driven-dissipative photonic systems

    … collective behaviours such as the celebrated Bose-Einstein Condensation (BEC) phase transition, where a macroscopic fraction of a bosonic system of particles collapses below a critical temperature T_c on a single-particle state. Quantum coherence, when combined with inter-particle …

    trento Repository record for Strongly correlated quantum fluids and effective thermalization in non-Markovian driven-dissipative photonic systems (opens in a new tab)