Breakdown of self-averaging in the Bose glass

Abstract

We study the square-lattice Bose-Hubbard model with bounded random on-site energies at zero temperature. Starting from a dual representation obtained from a strong-coupling expansion around the atomic limit, we employ a real-space block decimation scheme. This approach is non-perturbative in the disorder and enables us to study the renormalization-group flow of the induced random-mass distribution. In both insulating phases, the Mott insulator and the Bose glass, the average mass diverges, signaling short range superfluid correlations. The relative variance of the mass distribution distinguishes the two phases, renormalizing to zero in the Mott insulator and diverging in the Bose glass. Negative mass values in the tail of the distribution indicate the presence of rare superfluid regions in the Bose glass. The breakdown of self-averaging is evidenced by the divergent relative variance and increasingly non-Gaussian distributions. We determine an explicit phase boundary between the Mott insulator and Bose glass.

5 pages + references, 5 figures

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Cited by in corpus (10)

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• Bose-glass phase of a one-dimensional disordered Bose fluid: metastable states, quantum tunneling and droplets
• Measuring the Edwards-Anderson order parameter of the Bose glass: a quantum gas microscope approach
• Properties of the Superfluid in the Disordered Bose-Hubbard Model
• Finding the phase diagram of strongly-correlated disordered bosons using quantum quenches
• Bose and Mott Glass Phases in Dimerized Quantum Antiferromagnets
• Replica symmetry breaking in the Bose glass
• Quantum crystallography of Rydberg-dressed Bose gases on a square lattice
• Local Density of the Bose Glass Phase