Bogoliubov approach to superfluid-Bose glass phase transition of a disordered Bose-Hubbard Model in weakly interacting regime

Abstract

We investigate the disorder effect on coherent fraction and the quantum phase transition of ultracold dilute Bose gases trapped in disordered optical lattices. Within the framework of Bogoliubov theory, an analytical expression for the particle density is derived and the dependence of coherent fraction on disorder strength as well as on lattice depth is discussed. In weak disorder regime, we find a decreased sensitivity of coherent fraction to disorder with the increase of on-site interaction strength. For strong disorder, the quantum phase boundary between superfluid phase and Bose glass phase in the disordered Bose-Hubbard system in weak interaction regime is discussed qualitatively. The obtained phase diagram is in agreement with the empirical square-root law. The dependence of the corresponding critical value of the disorder strength on optical lattice depth is presented as well, and may serve as a reference object for possible experimental investigation.

7 pages, 6 figures

References in corpus (16)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Non-standard Hubbard models in optical lattices: a review
• Strongly interacting bosons in a disordered optical lattice
• Detecting the Amplitude Mode of Strongly Interacting Lattice Bosons by Bragg Scattering
• Slow Mass Transport and Statistical Evolution of An Atomic Gas Across the Superfluid-Mott Insulator Transition
• Probing the Bose-Glass--Superfluid Transition using Quantum Quenches of Disorder
• Ultracold bosons with short-range interaction in regular optical lattices
• Mean-field phase diagram of cold lattice bosons in disordered potentials
• Bogoliubov Theory of Dipolar Bose Gas in Weak Random Potential
• Localized states and interaction induced delocalization in Bose gases with quenched disorder
• Quantum fluctuations and collective oscillations of a Bose-Einstein condensate in a 2D optical lattice
• Equilibrium phases of two-dimensional bosons in quasi-periodic lattices
• Bogoliubov theory on the disordered lattice
• Josephson relation for disordered superfluids
• Superfluid-insulator transition of two-dimensional disordered Bose gases

Cited by in corpus (3)

• Quantum information scrambling in two-dimensional Bose-Hubbard lattices
• Finite-size scaling analysis of localization transitions in the disordered two-dimensional Bose-Hubbard model within the fluctuation operator expansion method
• Finite temperature phase diagram of the extended Bose-Hubbard model in the presence of disorder